eigenjs

v0.0.89

Published

2 years ago

The goal of this project is to port Eigen library into JavaScript for linear algebra.

Downloads

153

0High
0Medium
0Low

rick68

eigen linear algebra matrix vector numerical solver related algorithm

EigenJS

The goal of this project is to port Eigen library into JavaScript for linear algebar.

Installation

OS X (XCode & Command Line Tools)
Linux (GCC >= 4.8):

$ npm install eigenjs

Windows7/8 (Visual Studio 2012):

$ npm install eigenjs --msvs_version=2012

API

Complex
Matrix
- Matrix Class Methods
- Matrix Instance Methods
Complex Matrix
- Complex Matrix Class Methods
- Complex Matrix Instance Methods
Vector inherits from Matrix
- Vector Class Methods
- Vector Instance Methods
Complex Vector inherits from CMatrix
- Complex Vector Class Methods
- Complex Vector Instance Methods
Row Vector inherits from Matrix
- Row Vector Class Methods
- Row Vector Instance Methods
Complex Row Vector inherits from CMatrix
- Complex Row Vector Class Methods
- Complex Row Vector Instance Methods
Matrix Block inherits from Matrix
- Matrix Block Class Methods
  - MatrixBlock(mat, startRow, startCol, blockRows, blockCols)
  - MatrixBlock(mblock, startRow, startCol, blockRows, blockCols)
- Matrix Block Instance Methods
Complex Matrix Block inherits from CMatrix
- Complex Matrix Block Class Methods
  - CMatrixBlock(cmat, startRow, startCol, blockRows, blockCols)
  - CMatrixBlock(cmblock, startRow, startCol, blockRows, blockCols)
- Complex Matrix Block Instance Methods
Vector Block inherits from Vector and MatrixBlock
- Vector Block Class Methods
  - VectorBlock(vec, startRow, blockRows)
  - VectorBlock(vblock, startRow, blockRows)
- Vector Block Instance Methods
Complex Vector Block inherits from CVector and CMatrixBlock
- Complex Vector Block Class Methods
  - CVectorBlock(cvec, startRow, blockRows)
  - CVectorBlock(cvblock, startRow, blockRows)
- Complex Vector Block Instance Methods
Row Vector Block inherits from RowVector and MatrixBlock
- Row Vector Block Class Methods
  - RowVectorBlock(rvec, startCol, blockCols)
  - RowVectorBlock(rvblock, startCol, blockCols)
- Row Vector Block Instance Methods
Complex Row Vector Block inherits from CRowVector and CMatrixBlock
- Complex Row Vector Block Class Methods
  - CRowVectorBlock(crvec, startCol, blockCols)
  - CRowVectorBlock(crvblock, startCol, blockCols)
- Complex Row Vector Block Instance Methods
Partial Pivoting LU
- Partial Pivoting LU Class Methods
  - PartialPivLU(mat)
  - PartialPivLU(mblock)
- Partial Pivoting LU Instance Methods
Complex Partial Pivoting LU
- Complex Partial Pivoting LU Class Methods
  - CPartialPivLU(cmat)
  - CPartialPivLU(cmblock)
- Complex Partial Pivoting LU Instance Methods
Full Pivoting LU
- Full Pivoting LU Class Methods
  - FullPivLU(mat)
  - FullPivLU(mblock)
- Full Pivoting LU Instance Methods
Complex Full Pivoting LU
- Complex Full Pivoting LU Class Methods
  - CFullPivLU(cmat)
  - CFullPivLU(cmblock)
- Complex Full Pivoting LU Instance Methods

Complex

Complex Class Methods

Complex(real, [imag])

var C = require('eigenjs').Complex
  , c = new C(3, -4);
console.log('c = %s', c);

c = (3,-4)

Complex.polar(scalar, scalar)

var C = require('eigenjs').Complex
  , rho = 5
  , theta = -0.9272952180016122
  , c = C.polar(rho, theta);
console.log(c.conj().toString());
console.log(c.real * Math.cos(c.imag));
console.log(c.real * Math.sin(c.imag));

(5,0.927295)
3.0000000000000004
-3.9999999999999996

Complex.cos(scalar)

Complex.cos(comp)

var C = require('eigenjs').Complex
  , c1 = new C(Math.PI/4, 0)
  , c2 = C.cos(c1);
console.log(c2.toString());

(0.707107,-0)

Complex.cosh(scalar)

Complex.cosh(comp)

var C = require('eigenjs').Complex
  , c1 = new C(0, 0)
  , c2 = C.cosh(c1);
console.log(c2.toString());

(1,0)

Complex.exp(scalar)

Complex.exp(comp)

var C = require('eigenjs').Complex
  , c1 = new C(1, 0)
  , c2 = C.exp(c1);
console.log(c2.toString());

(2.71828,0)

Complex.log(scalar)

Complex.log(comp)

var C = require('eigenjs').Complex
  , c1 = new C(Math.E, 0)
  , c2 = C.log(c1);
console.log(c2.toString());

(1,0)

Complex.log10(scalar)

Complex.log10(comp)

var C = require('eigenjs').Complex
  , c1 = new C(1000, 0)
  , c2 = C.log10(c1);
console.log(c2.toString());

(3,0)

Complex.pow(scalar, scalar)

Complex.pow(scalar, comp)

Complex.pow(comp, scalar)

Complex.pow(comp, comp)

var C = require('eigenjs').Complex
  , c = C.pow(2, 3)
console.log(c.toString());

(8,0)

Complex.sin(scalar)

Complex.sin(comp)

var C = require('eigenjs').Complex
  , c1 = new C(Math.PI/4, 0)
  , c2 = C.sin(c1);
console.log(c2.toString());

(0.707107,0)

Complex.sinh(scalar)

Complex.sinh(comp)

var C = require('eigenjs').Complex
  , c1 = new C(0, 0)
  , c2 = C.sinh(c1);
console.log(c2.toString());

(0,0)

Complex.sqrt(scalar)

Complex.sqrt(comp)

var C = require('eigenjs').Complex
  , c1 = new C(9, 0)
  , c2 = C.sqrt(c1);
console.log(c2.toString());

(3,0)

Complex.tan(scalar)

Complex.tan(comp)

var C = require('eigenjs').Complex
  , c1 = new C(Math.PI/4, 0)
  , c2 = C.tan(c1);
console.log(c2.toString());

(1,0)

Complex.tanh(scalar)

Complex.tanh(comp)

var C = require('eigenjs').Complex
  , c1 = new C(Infinity, 0)
  , c2 = C.tanh(c1);
console.log(c2.toString());

(1,0)

Complex.acos(scalar)

Complex.acos(comp)

var C = require('eigenjs').Complex
  , c1 = new C(1, 0)
  , c2 = C.acos(c1);
console.log(c2.toString());

(0,0)

Complex.acosh(scalar)

Complex.acosh(comp)

var C = require('eigenjs').Complex
  , c1 = new C(1.54308, 0)
  , c2 = C.acosh(c1);
console.log(c2.toString());

(0.999999,0)

Complex.asin(scalar)

Complex.asin(comp)

var C = require('eigenjs').Complex
  , c1 = new C(1, 0)
  , c2 = C.asin(c1);
console.log(c2.toString());

(1.5708,7.82511e-09)

Complex.asinh(scalar)

Complex.asinh(comp)

var C = require('eigenjs').Complex
  , c1 = new C(1, 0)
  , c2 = C.asinh(c1);
console.log(c2.toString());

(0.881374,0)

Complex.atan(scalar)

Complex.atan(comp)

var C = require('eigenjs').Complex
  , c1 = new C(Infinity, 0)
  , c2 = C.atan(c1);
console.log(c2.toString());

(1.5708,0)

Complex.atanh(scalar)

Complex.atanh(comp)

var C = require('eigenjs').Complex
  , c1 = new C(1, 0)
  , c2 = C.atanh(c1);
console.log(c2.toString());

(inf,0)

Complex Instance Methods

comp.abs()

var C = require('eigenjs').Complex
  , c = new C(3, -4);
console.log(c.abs());

comp.arg()

var C = require('eigenjs').Complex
  , c = new C(3, -4);
console.log(c.arg());
console.log('(%d,%d)', c.abs() * Math.cos(c.arg()), c.abs() * Math.sin(c.arg()));

-0.9272952180016122
(3.0000000000000004,-3.9999999999999996)

comp.norm()

var C = require('eigenjs').Complex
  , c = new C(3, -4);
console.log(c.norm());

comp.conj()

var C = require('eigenjs').Complex
  , c = new C(3, -4);
console.log(c.conj().toString());

(3,4)

comp.proj(scalar)

comp.proj(comp)

var C = require('eigenjs').Complex
  , c1 = new C(0, -Infinity)
  , c2 = C.proj(c1);
console.log(c2.toString());

(inf, -0)

comp.add(scalar)

comp.add(comp)

var C = require('eigenjs').Complex
  , c1 = new C(3, 0)
  , c2 = new C(0, 4)
  , c3 = c1.add(c2);
console.log(c3.toString());

(3,4)

comp.adda(scalar)

comp.adda(comp)

var C = require('eigenjs').Complex
  , c1 = new C(3, 0)
  , c2 = new C(0, 4);
c1.adda(c2);
console.log(c1.toString());

(3,4)

comp.sub(scalar)

comp.sub(comp)

var C = require('eigenjs').Complex
  , c1 = new C(3, 4)
  , c2 = new C(2, -3)
  , c3 = c1.sub(c2);
console.log(c3.toString());

(1,7)

comp.suba(scalar)

comp.suba(comp)

var C = require('eigenjs').Complex
  , c1 = new C(5, 8)
  , c2 = new C(-3, 4);
c1.suba(c2);
console.log(c1.toString());

(8,4)

comp.mul(scalar)

comp.mul(comp)

comp.mul(mat)

comp.mul(vec)

comp.mul(rvec)

comp.mul(mblock)

comp.mul(vblock)

comp.mul(rvblock)

comp.mul(cmat)

comp.mul(cvec)

comp.mul(crvec)

comp.mul(cmblock)

comp.mul(cvblock)

comp.mul(crvblock)

var C = require('eigenjs').Complex
  , c1 = new C(1, 8)
  , c2 = new C(6, 4)
  , c3 = c1.mul(c2);
console.log(c3.toString());

(-26,52)

comp.mula(scalar)

comp.mula(comp)

var C = require('eigenjs').Complex
  , c1 = new C(3, 1)
  , c2 = new C(2, 4)
c1.mula(c2);
console.log(c1.toString());

(2,14)

comp.div(scalar)

comp.div(comp)

var C = require('eigenjs').Complex
  , c1 = new C(4, 8)
  , c2 = new C(2, 0)
  , c3 = c1.div(c2);
console.log(c3.toString());

(2,4)

comp.diva(scalar)

comp.diva(comp)

var C = require('eigenjs').Complex
  , c1 = new C(3, 9)
  , c2 = new C(9, 0)
c1.diva(c2);
console.log(c2.toString());

(0.333333,1)

comp.equals(scalar)

comp.equals(comp)

var C = require('eigenjs').Complex
  , c1 = new C(1, 0)
  , c2 = c1.conj();
console.log(c1.equals(c2));

true

comp.isApprox(comp, [prec = 1e-12])

var C = require('eigenjs').Complex
  , c1 = new C(1/3, 0)
  , c2 = new C(0.3333, 0);
console.log(c1.isApprox(c2, 1e-3));

true

comp.toString()

var C = require('eigenjs').Complex
  , c = new C(3, -4);
console.log(c.toString());

(3,-4)

Complex Properties

comp.real

comp.imag

var C = require('eigenjs').Complex
  , c = new C(3, -4);
c.real = 6;
c.imag = 8;
console.log('(%d,%d)', c.real, c.imag);

(6,8)

Matrix

Matrix Class Methods

Matrix(mat)

Matrix(vec)

Matrix(rvec)

Matrix(mblock)

Matrix(vblock)

Matrix(rvblock)

var M = require('eigenjs').Matrix
  , mat = new M.Random(2, 3)
  , mat2 = new M(mat);
console.log('mat =\n%s\n', mat);
console.log('mat2 =\n%s', mat2);

mat =
  0.381981  -0.373117  -0.866239
-0.0467884  -0.981309  -0.885573

mat2 =
  0.381981  -0.373117  -0.866239
-0.0467884  -0.981309  -0.885573

Matrix(rows, cols)

var M = require('eigenjs').Matrix
  , mat = new M(2, 3);
console.log('mat =\n%s', mat);

mat =
0 0 0
0 0 0

Matrix.Zero(n)

Matrix.Zero(rows, cols)

var M = require('eigenjs').Matrix
  , mat = M.Zero(2, 3);
console.log('mat = \n%s', mat);

mat =
0 0 0
0 0 0

Matrix.Ones(n)

Matrix.Ones(rows, cols)

var M = require('eigenjs').Matrix
  , mat = M.Ones(2, 3);
console.log('mat = \n%s', mat);

mat =
1 1 1
1 1 1

Matrix.Constant(rows, cols, scalar)

Matrix.Constant(rows, cols, comp)

var M = require('eigenjs').Matrix
  , mat = M.Constant(4, 4, 0.6);
console.log('mat = \n%s', mat);

mat =
0.6 0.6 0.6 0.6
0.6 0.6 0.6 0.6
0.6 0.6 0.6 0.6
0.6 0.6 0.6 0.6

Matrix.Random(n)

Matrix.Random(rows, cols)

var M = require('eigenjs').Matrix
  , mat = M.Random(2, 3);
console.log('mat = \n%s', mat);

mat =
-0.421952 -0.671276  0.547419
 0.260209  -0.13622  0.464891

Matrix.Identity(n)

Matrix.Identity(rows, cols)

var M = require('eigenjs').Matrix
  , mat1 = M.Identity(2)
  , mat2 = M.Identity(2, 3);
console.log('mat1 = \n%s', mat1);
console.log('mat2 = \n%s', mat2);

mat1 =
1 0
0 1
mat2 =
1 0 0
0 1 0

Matrix Instance Methods

mat.rows()

mat.cols()

var M = require('eigenjs').Matrix
  , mat = new M(2, 3);
console.log(mat.rows());
console.log(mat.cols());

2
3

mat.set(row, col, scalar)

var M = require('eigenjs').Matrix
  , mat = new M(2, 2);
mat.set(0, 0, 1)
   .set(0, 1, 2)
   .set(1, 0, 3)
   .set(1, 1, 4);
console.log('mat = \n%s', mat);

mat =
1 2
3 4

mat.set(scalar_array)

var M = require('eigenjs').Matrix
  , mat = new M(3, 3);
mat.set([
  1, 2, 3,
  4, 5, 6,
  7, 8, 9
]);
console.log('mat = \n%s', mat);

mat.get(row, col)

var M = require('eigenjs').Matrix
  , mat = new M(2, 2);
mat.set([
  1, 2,
  3, 4
]);
console.log(mat.get(0, 0) + ' ' + mat.get(0, 1));
console.log(mat.get(1, 0) + ' ' + mat.get(1, 1));

1 2
3 4

mat.assign(mat)

mat.assign(vec)

mat.assign(rvec)

mat.assign(mblock)

mat.assign(vblock)

mat.assign(rvblock)

var M = require('eigenjs').Matrix
  , mat = M.Random(4, 4);
mat.assign(M.Zero(4, 4));
console.log('mat = \n%s', mat);

mat.value()

Returns the unique coefficient of a 1x1 expression

var M = require('eigenjs').Matrix
  , mat = M.Random(1, 1);
console.log('%d', mat.value());

-0.7131525574778916

mat.setZero()

var M = require('eigenjs').Matrix
  , mat = new M.Random(3, 3);
console.log('mat =\n%s\n', mat);
console.log('mat =\n%s', mat.setZero());

mat =
 0.244911 -0.752925 -0.562905
 0.215088 -0.406688 -0.750836
 0.983236  0.800109  0.695126

mat =
0 0 0
0 0 0
0 0 0

mat.setOnes()

var M = require('eigenjs').Matrix
  , mat = new M.Zero(3, 3);
console.log('mat =\n%s\n', mat);
console.log('mat =\n%s', mat.setOnes());

mat.setConstant(scalar)

var M = require('eigenjs').Matrix
  , mat = new M.Zero(3, 3);
console.log('mat =\n%s\n', mat);
console.log('mat =\n%s', mat.setConstant(0.6));

mat =
0 0 0
0 0 0
0 0 0

mat =
0.6 0.6 0.6
0.6 0.6 0.6
0.6 0.6 0.6

mat.setRandom()

var M = require('eigenjs').Matrix
  , mat = new M.Zero(3, 3);
console.log('mat =\n%s\n', mat);
console.log('mat =\n%s', mat.setRandom());

mat =
0 0 0
0 0 0
0 0 0

mat =
 -0.292434 -0.0673437   0.283946
 -0.938224   0.154289   0.283845
 -0.725773  -0.862362   0.583097

mat.setIdentity()

var M = require('eigenjs').Matrix
  , mat = new M.Zero(3, 3);
console.log('mat =\n%s\n', mat);
console.log('mat =\n%s', mat.setIdentity());

mat.setDiagonal(index, vec)

mat.setDiagonal(index, rvec)

var M = require('eigenjs').Matrix
  , mat = new M.Zero(3, 3)
  , dia = mat.diagonal(1);
console.log('mat =\n%s\n', mat);
dia.setRandom();
console.log('mat =\n%s', mat.setDiagonal(1, dia));

mat =
0 0 0
0 0 0
0 0 0

mat =
        0 -0.294006         0
        0         0  0.634569
        0         0         0

mat.block(startRow, startCol, blockRows, blockCols)

var M = require('eigenjs').Matrix
  , mat = new M.Identity(4, 4)
  , mblock = mat.block(1, 1, 2, 2);
mblock.assign(M.Random(2, 2));
console.log('mat =\n%s', mat);

mat =
        1         0         0         0
        0 -0.822352  0.533723         0
        0  0.721993  0.287646         0
        0         0         0         1

mat.row(n)

var Eigen = require('eigenjs')
  , M = Eigen.Matrix
  , RV = Eigen.RowVector
  , mat = new M.Zero(3, 3)
  , mblock = mat.row(1);
mblock.assign(RV.Random(3));
console.log('mat =\n%s', mat);

mat =
        0         0         0
-0.843392 -0.891355  0.991578
        0         0         0

mat.col(n)

var Eigen = require('eigenjs')
  , M = Eigen.Matrix
  , V = Eigen.Vector
  , mat = new M.Zero(3, 3)
  , mblock = mat.col(1);
mblock.assign(V.Random(3));
console.log('mat =\n%s', mat);

mat =
         0   0.674939          0
         0  -0.303923          0
         0 -0.0302965          0

mat.topRows(n)

Returns a block consisting of the top rows of *this.

var M = require('eigenjs').Matrix
  , mat = new M(4, 4).set([
             7,  9, -5,  3,
            -2, -6,  1,  0,
             6, -3,  0,  9,
             6,  6,  3,  9
          ]);
console.log('%s', mat.topRows(2));

 7  9 -5  3
-2 -6  1  0

mat.bottomRows(n)

Returns a block consisting of the bottom rows of *this.

var M = require('eigenjs').Matrix
  , mat = new M(4, 4).set([
             7,  9, -5,  3,
            -2, -6,  1,  0,
             6, -3,  0,  9,
             6,  6,  3,  9
          ]);
console.log('%s', mat.bottomRows(2));

 6 -3  0  9
 6  6  3  9

mat.middleRows(startRow, n)

Returns a block consisting of a range of rows of *this.

var M = require('eigenjs').Matrix
  , mat = new M(4, 4).set([
             7,  9, -5,  3,
            -2, -6,  1,  0,
             6, -3,  0,  9,
             6,  6,  3,  9
          ]);
console.log('%s', mat.middleRows(1, 2));

-2 -6  1  0
 6 -3  0  9

mat.leftCols(n)

Returns a block consisting of the left columns of *this.

var M = require('eigenjs').Matrix
  , mat = new M(4, 4).set([
             7,  9, -5,  3,
            -2, -6,  1,  0,
             6, -3,  0,  9,
             6,  6,  3,  9
          ]);
console.log('%s', mat.leftCols(2));

mat.rightCols(n)

Returns a block consisting of the right columns of *this.

var M = require('eigenjs').Matrix
  , mat = new M(4, 4).set([
             7,  9, -5,  3,
            -2, -6,  1,  0,
             6, -3,  0,  9,
             6,  6,  3,  9
          ]);
console.log('%s', mat.rightCols(2));

mat.middleCols(startCol, n)

Returns a block consisting of a range of columns of *this.

var M = require('eigenjs').Matrix
  , mat = new M(4, 4).set([
             7,  9, -5,  3,
            -2, -6,  1,  0,
             6, -3,  0,  9,
             6,  6,  3,  9
          ]);
console.log('%s', mat.middleCols(1, 2));

mat.topLeftCorner(cRows, cCols)

Returns a block consisting of a top-left corner of *this.

var M = require('eigenjs').Matrix
  , mat = new M(4, 4).set([
             7,  9, -5,  3,
            -2, -6,  1,  0,
             6, -3,  0,  9,
             6,  6,  3,  9
          ]);
console.log('%s', mat.topLeftCorner(2, 2));

 7  9
-2 -6

mat.topRightCorner(cRows, cCols)

Returns a block consisting of a top-right corner of *this.

var M = require('eigenjs').Matrix
  , mat = new M(4, 4).set([
             7,  9, -5,  3,
            -2, -6,  1,  0,
             6, -3,  0,  9,
             6,  6,  3,  9
          ]);
console.log('%s', mat.topRightCorner(2, 2));

-5  3
 1  0

mat.bottomLeftCorner(cRows, cCols)

Returns a block consisting of a bottom-left corner of *this.

var M = require('eigenjs').Matrix
  , mat = new M(4, 4).set([
             7,  9, -5,  3,
            -2, -6,  1,  0,
             6, -3,  0,  9,
             6,  6,  3,  9
          ]);
console.log('%s', mat.bottomLeftCorner(2, 2));

 6 -3
 6  6

mat.bottomRightCorner(cRows, cCols)

Returns a block consisting of a bottom-right corner of *this.

var M = require('eigenjs').Matrix
  , mat = new M(4, 4).set([
             7,  9, -5,  3,
            -2, -6,  1,  0,
             6, -3,  0,  9,
             6,  6,  3,  9
          ]);
console.log('%s', mat.bottomRightCorner(2, 2));

0 9
3 9

mat.replicate(rowFactor, colFactor)

var M = require('eigenjs').Matrix
  , mat = new M(3, 1).set([
             7,
            -2,
             6
          ]);
console.log('%s', mat.replicate(2, 5));

 7  7  7  7  7
-2 -2 -2 -2 -2
 6  6  6  6  6
 7  7  7  7  7
-2 -2 -2 -2 -2
 6  6  6  6  6

mat.add(mat)

mat.add(vec)

mat.add(rvec)

mat.add(mblock)

mat.add(vblock)

mat.add(rvblock)

mat.add(cmat)

mat.add(cvec)

mat.add(crvec)

mat.add(cmblock)

mat.add(cvblock)

mat.add(crvblock)

var M = require('eigenjs').Matrix
  , mat1 = new M(2, 2)
  , mat2 = new M(2, 2)
  , mat3;
mat1.set([
  1, 3,
  2, 4
]);
mat2.set([
  5, 6,
  7, 8
]);
mat3 = mat1.add(mat2);
console.log('mat3 = \n%s', mat3);

mat3 =
 6  9
 9 12

mat.adda(mat)

mat.adda(vec)

mat.adda(rvec)

mat.adda(mblock)

mat.adda(vblock)

mat.adda(rvblock)

var M = require('eigenjs').Matrix
  , mat1 = new M(2, 2)
  , mat2 = new M(2, 2);
mat1.set([
  1, 3,
  2, 4
]);
mat2.set([
  5, 6,
  7, 8
]);
mat1.adda(mat2);
console.log('mat1 = \n%s', mat1);

mat1 =
 6  9
 9 12

mat.sub(mat)

mat.sub(vec)

mat.sub(rvec)

mat.sub(mblock)

mat.sub(vblock)

mat.sub(rvblock)

mat.sub(cmat)

mat.sub(cvet)

mat.sub(crvet)

mat.sub(cmblock)

mat.sub(cvblock)

mat.sub(crvblock)

var M = require('eigenjs').Matrix
  , mat1 = new M(2, 2)
  , mat2 = new M(2, 2)
  , mat3;
mat1.set([
  1, 3,
  2, 4
]);
mat2.set([
  5, 6,
  7, 8
]);
mat3 = mat1.sub(mat2);
console.log('mat3 = \n%s', mat3);

mat3 =
-4 -3
-5 -4

mat.suba(mat)

mat.suba(vec)

mat.suba(rvec)

mat.suba(mblock)

mat.suba(vblock)

mat.suba(rvblock)

var M = require('eigenjs').Matrix
  , mat1 = new M(2, 2)
  , mat2 = new M(2, 2);
mat1.set([
  1, 3,
  2, 4
]);
mat2.set([
  5, 6,
  7, 8
]);
mat1.suba(mat2);
console.log('mat1 = \n%s', mat1);

mat1 =
-4 -3
-5 -4

mat.mul(scalar)

mat.mul(comp)

mat.mul(mat)

mat.mul(vec)

mat.mul(rvec)

mat.mul(mblock)

mat.mul(vblock)

mat.mul(rvblock)

mat.mul(cmat)

mat.mul(cvec)

mat.mul(crvec)

mat.mul(cvblock)

mat.mul(crvblock)

var M = require('eigenjs').Matrix
  , mat1 = new M(2, 3)
  , vec = new M(3, 1)
  , mat2;
mat1.set([
  1, 2, 3,
  4, 5, 6
]);
vec.set([
  1,
  6,
  8
]);
mat2 = mat1.mul(vec);
console.log('mat2 = \n%s', mat2);

mat2 =
37
82

mat.mula(scalar)

mat.mula(mat)

mat.mula(vec)

mat.mula(rvec)

mat.mula(mblock)

mat.mula(vblock)

mat.mula(rvblock)

var M = require('eigenjs').Matrix
  , mat = new M(2, 3)
  , vec = new M(3, 1);
mat.set([
  1, 2, 3,
  4, 5, 6
]);
vec.set([
  1,
  6,
  8
]);
mat.mula(vec);
console.log('mat = \n%s', mat);

mat =
37
82

mat.div(scalar)

mat.div(comp)

var M = require('eigenjs').Matrix
  , mat1 = new M(2, 2)
  , mat2;
mat1.set([
  1, 2,
  3, 4
]);
mat2 = mat1.div(2);
console.log('mat2 = \n%s', mat2);

mat2 =
0.5   1
1.5   2

mat.diva(scalar)

var M = require('eigenjs').Matrix
  , mat = new M(2, 2);
mat.set([
  1, 2,
  3, 4
]);
mat.diva(2);
console.log('mat = \n%s', mat);

mat =
0.5   1
1.5   2

mat.transpose()

var M = require('eigenjs').Matrix
  , mat1 = new M.Random(3, 2)
  , mat2 = mat1.transpose();
console.log('mat1 = \n%s', mat1);
console.log('mat2 = \n%s', mat2);

mat1 =
 -0.112813  -0.325566
-0.0500345   0.213005
 -0.930346  -0.022705
mat2 =
 -0.112813 -0.0500345  -0.930346
 -0.325566   0.213005  -0.022705

mat.conjugate()

var M = require('eigenjs').Matrix
  , mat1 = new M.Random(2, 2)
  , mat2 = mat1.conjugate();
console.log(mat1.equals(mat2));

true

mat.adjoint()

var M = require('eigenjs').Matrix
  , mat1 = new M.Random(3, 2)
  , mat2 = mat1.adjoint();
console.log('mat1 = \n%s', mat1);
console.log('mat2 = \n%s', mat2);

mat1 =
 0.997487 0.0670765
 0.770148 -0.645138
 -0.12185 -0.835853
mat2 =
 0.997487  0.770148  -0.12185
0.0670765 -0.645138 -0.835853

mat.determinant()

Returns the determinant of this matrix. This method uses class PartialPivLU.

var M = require('eigenjs').Matrix
  , mat = new M.Random(2, 2);
console.log('mat = \n%s\n', mat);
console.log('det = %d', mat.determinant());

mat =
 0.132371 -0.813862
 0.758326  -0.58171

det = 0.540171350604003

mat.inverse()

Returns the matrix inverse of this matrix. This method uses class PartialPivLU.

var M = require('eigenjs').Matrix
  , mat = new M(3, 3).set([
            1, 2, 3,
            0, 1, 4,
            5, 6, 0
          ])
  , inv = mat.inverse();
console.log('inv = \n%s', inv);

inv =
-24  18   5
 20 -15  -4
 -5   4   1

mat.trace()

var M = require('eigenjs').Matrix
  , mat = new M(2, 3).set([
            1, 2, 3,
            4, 5, 6
          ])
  , tr = mat.trace();
console.log('mat = \n%s\n', mat);
console.log('tr = ', tr);

mat =
1 2 3
4 5 6

tr =  6

mat.diagonal([index = 0])

var M = require('eigenjs').Matrix
  , mat = new M(4, 4).set([
             7,  9, -5, -3,
            -2, -6,  1,  0,
             6, -3,  0,  9,
             6,  6,  3,  9
          ]);
console.log('%s', mat.diagonal(1).transpose());
console.log('%s', mat.diagonal(-2).transpose());

9 1 9
6 6

mat.norm()

Returns the Frobenius norm.

var M = require('eigenjs').Matrix
  , mat = new M(3, 3).set([
            1, 2, 3,
            4, 5, 6,
            7, 8, 9
          ]);
console.log('%d', mat.norm());

16.881943016134134

mat.redux(func)

func Function The result of a full redux operation on the whoie matrix or vector using func.

var M = require('eigenjs').Matrix
  , mat = new M(3, 3).set([
            1, 2, 3,
            4, 5, 6,
            7, 8, 9
          ])
  , func = function(a, b) { return a + b; };
console.log('%d', mat.redux(func));

mat.sum()

var M = require('eigenjs').Matrix
  , mat = new M(3, 3).set([
            1, 2, 3,
            4, 5, 6,
            7, 8, 9
          ]);
console.log('%d', mat.sum());

mat.prod()

var M = require('eigenjs').Matrix
  , mat = new M(3, 3).set([
            1, 2, 3,
            4, 5, 6,
            7, 8, 9
          ]);
console.log('%d', mat.prod());

mat.mean()

var M = require('eigenjs').Matrix
  , mat = new M(3, 3).set([
            1, 2, 3,
            4, 5, 6,
            7, 8, 9
          ]);
console.log('%d', mat.mean());

mat.visit(func)

func Function Applies the func to the whole coefficients of the matrix or vector.

var M = require('eigenjs').Matrix
  , mat = new M(3, 3).set([
            1, 2, 3,
            4, 5, 6,
            7, 8, 9
          ]);
mat.visit(function(value, row, col) {
  console.log('mat(%d, %d) = %d', row, col, value);
});

mat(0, 0) = 1
mat(1, 0) = 4
mat(2, 0) = 7
mat(0, 1) = 2
mat(1, 1) = 5
mat(2, 1) = 8
mat(0, 2) = 3
mat(1, 2) = 6
mat(2, 2) = 9

mat.maxCoeff()

var M = require('eigenjs').Matrix
  , mat = new M.Random(3, 3);
console.log('mat = \n%s\n', mat);
console.log('max = %d', mat.maxCoeff());

mat =
  0.175793  -0.547068  -0.959701
  0.561311  -0.579446   0.297471
-0.0382309  -0.743676  -0.411312

max = 0.5613114636211243

mat.maxCoeff(obj)

obj Object

var M = require('eigenjs').Matrix
  , mat = new M.Random(3, 3)
  , obj = {};
console.log('mat = \n%s\n', mat);
console.log('max = %s', mat.maxCoeff(obj));
console.log('obj = %s', JSON.stringify(obj));

mat =
 -0.68294  0.690895 -0.698356
-0.174138 -0.119934  0.733219
-0.743578  0.262349 -0.795382

max = 0.7332185766348702
obj = {"maxCoeff":0.7332185766348702,"rowId":1,"colId":2}

mat.maxCoeff(func)

func Function

var M = require('eigenjs').Matrix
  , mat = new M.Random(3, 3)
  , func = function(rowId, colId) {
             console.log('rowId = %d, colId = %d', rowId, colId);
           };
console.log('mat = \n%s\n', mat);
console.log('max = %d', mat.maxCoeff(func));

mat =
-0.552622 -0.355055  0.141004
0.0814275   0.58272  -0.13819
 0.552011 -0.217758 -0.551142

rowId = 1, colId = 1
max = 0.5827204285109044

mat.minCoeff()

var M = require('eigenjs').Matrix
  , mat = new M.Random(3, 3);
console.log('mat = \n%s\n', mat);
console.log('min = %d', mat.minCoeff());

mat =
-0.725041  0.511321   0.29833
 0.233345  -0.22101 0.0355704
-0.167162 -0.514649 -0.168438

min = -0.7250411527813604

mat.minCoeff(obj)

obj Object

var M = require('eigenjs').Matrix
  , mat = new M.Random(3, 3)
  , obj = {};
console.log('mat = \n%s\n', mat);
console.log('min = %d', mat.minCoeff(obj));
console.log('obj = %s', JSON.stringify(obj));

mat =
  0.74568  0.870563  -0.82341
 0.636928 -0.455949  0.944912
 0.855648  0.872564  -0.87055

min = -0.8705498761825962
obj = {"minCoeff":-0.8705498761825962,"rowId":2,"colId":2}

mat.minCoeff(func)

func Function

var M = require('eigenjs').Matrix
  , mat = new M.Random(3, 3)
  , func = function(rowId, colId) {
             console.log('rowId = %d, colId = %d', rowId, colId);
           };
console.log('mat = \n%s\n', mat);
console.log('min = %d', mat.minCoeff(func));

 0.371743  0.261372  0.144462
-0.111958  0.884582  -0.02937
 0.314765 -0.823458  0.378298

rowId = 2, colId = 1
min = -0.8234578174648144

mat.equals(mat)

mat.equals(vec)

mat.equals(rvec)

mat.equals(mblock)

mat.equals(vblock)

mat.equals(rvblock)

var M = require('eigenjs').Matrix
  , mat1 = new M(2, 2)
  , mat2 = new M(2, 2)
  , mat3 = new M(2, 2);
mat1.set([
  1, 2,
  3, 4
]);
mat2.set([
  1, 0,
  0, 1
]);
mat3.set([
  0, 2,
  3, 3
]);
console.log(mat1.equals(mat2.add(mat3)));

true

mat.isApprox(mat, [prec = 1e-12])

mat.isApprox(vec, [prec = 1e-12])

mat.isApprox(rvec, [prec = 1e-12])

mat.isApprox(mblock, [prec = 1e-12])

mat.isApprox(vblock, [prec = 1e-12])

mat.isApprox(rvblock, [prec = 1e-12])

var M = require('eigenjs').Matrix
  , mat1 = new M(2, 2)
  , mat2 = new M(2, 2);
mat1.set([
  1, 3,
  5, 7
]).diva(11);
mat2.set([
  0.091, 0.273,
  0.455, 0.636
]);
console.log(mat1.isApprox(mat2, 1e-3));

true

mat.isSquare()

var M = require('eigenjs').Matrix
  , mat1 = new M(4, 4)
  , mat2 = new M(3, 2);
console.log(mat1.isSquare());
console.log(mat2.isSquare());

true
false

mat.isZero([prec = 1e-12])

var M = require('eigenjs').Matrix
  , mat = new M(2, 3).set([
            0,      0, 0.0001,
            0,      0,      0
          ]);
console.log(mat.isZero());
console.log(mat.isZero(1e-3));

false
true

mat.isOnes([prec = 1e-12])

var M = require('eigenjs').Matrix
  , mat = new M(2, 3).set([
            1,      1, 1.0001,
            1, 0.9997,      1
          ]);
console.log(mat.isOnes());
console.log(mat.isOnes(1e-3));

false
true

mat.isIdentity([prec = 1e-12])

var M = require('eigenjs').Matrix
  , mat = new M(3, 3).set([
            1,       0, 0.0001,
            0,  0.9997,      0,
            0,       0,      1
          ]);
console.log(mat.isIdentity());
console.log(mat.isIdentity(1e-3));

false
true

mat.isDiagonal([prec = 1e-12])

var M = require('eigenjs').Matrix
  , mat = new M(3, 3).set([
            1e+04,     0,     1,
                0, 1e+04,     0,
                0,     0, 1e+04
          ]);
console.log(mat.isDiagonal());
console.log(mat.isDiagonal(1e-3));

false
true

mat.all()

Returns true if all coefficients are true.

var M = require('eigenjs').Matrix
  , mat = new M.Constant(3, 3, 1);
console.log('mat = \n%s\n%s\n', mat, mat.all());
mat.set(0, 0, 0);
console.log('mat = \n%s\n%s', mat, mat.all());

mat =
1 1 1
1 1 1
1 1 1
true

mat =
0 1 1
1 1 1
1 1 1
false

mat.any()

Returns true if at least one coefficient is true.

var M = require('eigenjs').Matrix
  , mat = new M.Zero(3, 3);
console.log('mat = \n%s\n%s\n', mat, mat.any());
mat.set(0, 0, 1);
console.log('mat = \n%s\n%s', mat, mat.any());

mat =
0 0 0
0 0 0
0 0 0
false

mat =
1 0 0
0 0 0
0 0 0
true

mat.count()

Returns the number of coefficients which evaluate to true.

var M = require('eigenjs').Matrix
  , mat = new M.Zero(3, 3);
mat.block(0, 1, 3, 2).setOnes();
console.log('mat = \n%s\n', mat);
console.log('%d', mat.count());

mat.allFinite()

Returns true if *this contains only finite numbers, i.e., no NaN and no +/-INF values.

var M = require('eigenjs').Matrix
  , mat = new M.Random(3, 3);
console.log('mat = \n%s\n%s\n', mat, mat.allFinite());
mat.set(0, 0, Infinity);
console.log('mat = \n%s\n%s', mat, mat.allFinite());

mat =
 0.202332  0.271506 -0.887678
 0.592388 -0.806422  0.799406
  0.26443  0.461303 -0.389755
true

mat =
      inf  0.271506 -0.887678
 0.592388 -0.806422  0.799406
  0.26443  0.461303 -0.389755
false

mat.hasNaN()

Returns true if *this contains at least one Not A Number (NaN).

var M = require('eigenjs').Matrix
  , mat = new M.Zero(3, 3);
console.log('mat = \n%s\n%s\n', mat, mat.hasNaN());
mat.set(1, 1, NaN);
console.log('mat = \n%s\n%s', mat, mat.hasNaN());

mat =
0 0 0
0 0 0
0 0 0
false

mat =
  0   0   0
  0 nan   0
  0   0   0
true

mat.partialPivLu()

Returns the partial-pivoting LU decomposition of *this.

var M = require('eigenjs').Matrix
  , mat = new M(3, 3).set([
            1, 4, 5,
            4, 2, 6,
            5, 6, 3
          ])
  , pplu = mat.partialPivLu();
console.log('P = \n%s\n', pplu.permutationP());
console.log('L = \n%s\n', pplu.matrixL());
console.log('U = \n%s', pplu.matrixU());

P =
0 0 1
0 1 0
1 0 0

L =
  1   0   0
0.8   1   0
0.2  -1   1

U =
   5    6    3
   0 -2.8  3.6
   0    0    8

mat.fullPivLu()

Returns the full-pivoting LU decomposition of *this.

var M = require('eigenjs').Matrix
  , mat = new M(2, 4).set([
             1,  1,  1,  3,
             1,  2, -1,  4
          ])
  , fplu = mat.fullPivLu();
console.log('P = \n%s\n', fplu.permutationP());
console.log('L = \n%s\n', fplu.matrixL());
console.log('U = \n%s\n', fplu.matrixU());
console.log('Q = \n%s', fplu.permutationQ());

P =
0 1
1 0

L =
   1    0
0.75    1

U =
   4   -1    2    1
   0 1.75 -0.5 0.25

Q =
0 0 0 1
0 0 1 0
0 1 0 0
1 0 0 0

mat.toString([options])

options Object
- precision Number Default=6. The number of digits for floating point values.
- fullPrecision Booleam Default=false. If set to true, then the number of digits will be computed to match the full precision of each floating-point type.
- dontAlignCols Booleam Default=false. If set to true, it allows to disable the alignment of columnt, resulting in faster code.
- coeffSeparator String Default=' '. The string printed between two coefficients of the same row.
- rowSepara