com.singularsys.extensions.matrix

Interface MatrixFieldI

All Superinterfaces:

FieldI, IntegerConvertor, JepComponent, java.io.Serializable

All Known Implementing Classes:

AbstractMatrixField, ComplexMatrixField, DoubleMatrixField, FieldMatrixField, GenericFieldMatrixField, GenericMatrixField, MatrixFieldCollection, SequenceMatrixField, SimpleMatrixField

public interface MatrixFieldI
extends FieldI, IntegerConvertor, JepComponent

Defines all the basic operations which can be carried out on matrices and vectors.

Since:

Jep 3.5 / Extensions 2.0

Author:

Richard Morris

Method Summary

Modifier and Type	Method and Description
java.lang.Object	cross(java.lang.Object l, java.lang.Object r) The cross product of two vectors
java.lang.Object	det(java.lang.Object mat) The determinant of a matrix
java.lang.Object	dot(java.lang.Object l, java.lang.Object r) The dot product of two vectors
java.lang.Object	inv(java.lang.Object mat) Returns the inverse of a square matrix.
java.lang.Object	solve(java.lang.Object A, java.lang.Object B) Solve equation A * X = B
java.lang.Object	trace(java.lang.Object mat) Returns the trace of a matrix.
java.lang.Object	trans(java.lang.Object mat) Transpose of a matrix

Methods inherited from interface com.singularsys.extensions.field.FieldI

add, and, div, eq, ge, getOne, getZero, gt, le, lt, mod, mul, ne, neg, not, or, pow, sub

Methods inherited from interface com.singularsys.extensions.field.implementations.IntegerConvertor

convertFromInt, convertToInt

Methods inherited from interface com.singularsys.jep.JepComponent

getLightWeightInstance, init

Method Detail

det

java.lang.Object det(java.lang.Object mat)
              throws EvaluationException

The determinant of a matrix

Parameters:

mat -

Returns:

the determinant of mat if it is a matrix

Throws:

EvaluationException

trans

java.lang.Object trans(java.lang.Object mat)
                throws EvaluationException

Transpose of a matrix

Parameters:

mat - the matrix

Returns:

a matrix containing the transpose

Throws:

EvaluationException

dot

java.lang.Object dot(java.lang.Object l,
                     java.lang.Object r)
              throws EvaluationException

The dot product of two vectors

Parameters:

l -

r -

Returns:

the dot product if both arguments are vectors, null otherwise.

Throws:

EvaluationException

cross

java.lang.Object cross(java.lang.Object l,
                       java.lang.Object r)
                throws EvaluationException

The cross product of two vectors

Parameters:

l -

r -

Returns:

a vector with the cross product

Throws:

EvaluationException - if either vectors not of length 3

trace

java.lang.Object trace(java.lang.Object mat)
                throws EvaluationException

Returns the trace of a matrix.

Parameters:

mat - the matrix

Returns:

the trace

Throws:

EvaluationException

inv

java.lang.Object inv(java.lang.Object mat)
              throws EvaluationException

Returns the inverse of a square matrix.

Parameters:

mat - the matrix

Returns:

the trace

Throws:

EvaluationException - if matrix is not square or is singular

solve

java.lang.Object solve(java.lang.Object A,
                       java.lang.Object B)
                throws EvaluationException

Solve equation A * X = B

Parameters:

A - a square matrix

B - either a vector or matrix with same number of rows as A

Returns:

a vector or matrix solving equations

Throws:

EvaluationException - if matrix is not square or is singular