smile.math.matrix

Class NaiveMatrix

java.lang.Object

smile.math.matrix.NaiveMatrix

All Implemented Interfaces:

DenseMatrix, Matrix, MatrixMultiplication<DenseMatrix,DenseMatrix>

public class NaiveMatrix
extends java.lang.Object
implements DenseMatrix

Naive implementation of Matrix interface. The data is stored in Java 2D array, which is not friendly for heavy matrix computation on modern CPU. If possible, please use RowMajorMatrix or ColumnMajorMatrix that use 1D array.

See Also:

RowMajorMatrix, ColumnMajorMatrix

Constructor Summary

Constructors

Constructor and Description
NaiveMatrix(double[] diag) Constructor of a square diagonal matrix with the elements of vector diag on the main diagonal.
NaiveMatrix(double[][] A) Constructor.
NaiveMatrix(int rows, int cols) Constructor of all-zero matrix.
NaiveMatrix(int rows, int cols, double value) Constructor.
NaiveMatrix(int rows, int cols, double mu, double sigma) Constructor of matrix with normal random values with given mean and standard dev.

Method Summary

Modifier and Type	Method and Description
NaiveMatrix	aat() Returns A * A'
NaiveMatrix	abmm(DenseMatrix b) Returns the result of matrix multiplication A * B.
NaiveMatrix	abtmm(DenseMatrix b) Returns the result of matrix multiplication A * B'.
double	add(int i, int j, double x) A[i][j] += x
double[][]	array() Return the two-dimensional array of matrix.
NaiveMatrix	ata() Returns A' * A
NaiveMatrix	atbmm(DenseMatrix b) Returns the result of matrix multiplication A' * B.
double[]	atx(double[] x, double[] y) y = A' * x
double[]	atxpy(double[] x, double[] y) y = A' * x + y
double[]	atxpy(double[] x, double[] y, double b) y = A' * x + b * y
double[]	ax(double[] x, double[] y) y = A * x
double[]	axpy(double[] x, double[] y) y = A * x + y
double[]	axpy(double[] x, double[] y, double b) y = A * x + b * y
ColumnMajorMatrix	copy() Returns a copy of this matrix.
double	div(int i, int j, double x) A[i][j] /= x
static NaiveMatrix	eye(int n) Returns an n-by-n identity matrix with ones on the main diagonal and zeros elsewhere.
static NaiveMatrix	eye(int m, int n) Returns an n-by-n identity matrix with ones on the main diagonal and zeros elsewhere.
double	get(int i, int j) Returns the entry value at row i and column j.
double	mul(int i, int j, double x) A[i][j] *= x
int	ncols() Returns the number of columns.
int	nrows() Returns the number of rows.
double	set(int i, int j, double x) Set the entry value at row i and column j.
double	sub(int i, int j, double x) A[i][j] -= x
java.lang.String	toString()
NaiveMatrix	transpose() Returns the matrix transpose.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Methods inherited from interface smile.math.matrix.DenseMatrix

add, add, add, add, div, div, div, div, inverse, inverse, mul, mul, mul, mul, replaceNaN, sub, sub, sub, sub, sum, toString, update

Methods inherited from interface smile.math.matrix.Matrix

apply, diag, trace

Constructor Detail

NaiveMatrix

public NaiveMatrix(double[][] A)

Constructor. Note that this is a shallow copy of A.

Parameters:

A - the array of matrix.

NaiveMatrix

public NaiveMatrix(int rows,
                   int cols)

Constructor of all-zero matrix.

NaiveMatrix

public NaiveMatrix(int rows,
                   int cols,
                   double value)

Constructor. Fill the matrix with given value.

NaiveMatrix

public NaiveMatrix(double[] diag)

Constructor of a square diagonal matrix with the elements of vector diag on the main diagonal.

NaiveMatrix

public NaiveMatrix(int rows,
                   int cols,
                   double mu,
                   double sigma)

Constructor of matrix with normal random values with given mean and standard dev.

Method Detail

eye

public static NaiveMatrix eye(int n)

Returns an n-by-n identity matrix with ones on the main diagonal and zeros elsewhere.

eye

public static NaiveMatrix eye(int m,
                              int n)

Returns an n-by-n identity matrix with ones on the main diagonal and zeros elsewhere.

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object

copy

public ColumnMajorMatrix copy()

Description copied from interface: DenseMatrix

Returns a copy of this matrix.

Specified by:

copy in interface DenseMatrix

array

public double[][] array()

Description copied from interface: DenseMatrix

Return the two-dimensional array of matrix.

Specified by:

array in interface DenseMatrix

Returns:

the two-dimensional array of matrix.

nrows

public int nrows()

Description copied from interface: Matrix

Returns the number of rows.

Specified by:

nrows in interface Matrix

ncols

public int ncols()

Description copied from interface: Matrix

Returns the number of columns.

Specified by:

ncols in interface Matrix

get

public double get(int i,
                  int j)

Description copied from interface: Matrix

Returns the entry value at row i and column j.

Specified by:

get in interface Matrix

set

public double set(int i,
                  int j,
                  double x)

Description copied from interface: DenseMatrix

Set the entry value at row i and column j.

Specified by:

set in interface DenseMatrix

add

public double add(int i,
                  int j,
                  double x)

Description copied from interface: DenseMatrix

A[i][j] += x

Specified by:

add in interface DenseMatrix

sub

public double sub(int i,
                  int j,
                  double x)

Description copied from interface: DenseMatrix

A[i][j] -= x

Specified by:

sub in interface DenseMatrix

mul

public double mul(int i,
                  int j,
                  double x)

Description copied from interface: DenseMatrix

A[i][j] *= x

Specified by:

mul in interface DenseMatrix

div

public double div(int i,
                  int j,
                  double x)

Description copied from interface: DenseMatrix

A[i][j] /= x

Specified by:

div in interface DenseMatrix

ata

public NaiveMatrix ata()

Description copied from interface: Matrix

Returns A' * A

Specified by:

ata in interface DenseMatrix

Specified by:

ata in interface Matrix

aat

public NaiveMatrix aat()

Description copied from interface: Matrix

Returns A * A'

Specified by:

aat in interface DenseMatrix

Specified by:

aat in interface Matrix

ax

public double[] ax(double[] x,
                   double[] y)

Description copied from interface: Matrix

y = A * x

Specified by:

ax in interface Matrix

Returns:

y

axpy

public double[] axpy(double[] x,
                     double[] y)

Description copied from interface: Matrix

y = A * x + y

Specified by:

axpy in interface Matrix

Returns:

y

axpy

public double[] axpy(double[] x,
                     double[] y,
                     double b)

Description copied from interface: Matrix

y = A * x + b * y

Specified by:

axpy in interface Matrix

Returns:

y

atx

public double[] atx(double[] x,
                    double[] y)

Description copied from interface: Matrix

y = A' * x

Specified by:

atx in interface Matrix

Returns:

y

atxpy

public double[] atxpy(double[] x,
                      double[] y)

Description copied from interface: Matrix

y = A' * x + y

Specified by:

atxpy in interface Matrix

Returns:

y

atxpy

public double[] atxpy(double[] x,
                      double[] y,
                      double b)

Description copied from interface: Matrix

y = A' * x + b * y

Specified by:

atxpy in interface Matrix

Returns:

y

abmm

public NaiveMatrix abmm(DenseMatrix b)

Description copied from interface: MatrixMultiplication

Returns the result of matrix multiplication A * B.

Specified by:

abmm in interface MatrixMultiplication<DenseMatrix,DenseMatrix>

abtmm

public NaiveMatrix abtmm(DenseMatrix b)

Description copied from interface: MatrixMultiplication

Returns the result of matrix multiplication A * B'.

Specified by:

abtmm in interface MatrixMultiplication<DenseMatrix,DenseMatrix>

atbmm

public NaiveMatrix atbmm(DenseMatrix b)

Description copied from interface: MatrixMultiplication

Returns the result of matrix multiplication A' * B.

Specified by:

atbmm in interface MatrixMultiplication<DenseMatrix,DenseMatrix>

transpose

public NaiveMatrix transpose()

Returns the matrix transpose.

Specified by:

transpose in interface DenseMatrix

Specified by:

transpose in interface Matrix