org.jmatrices.dbl.measure
Class MatrixProperty

java.lang.Object
  org.jmatrices.dbl.measure.MatrixProperty

public final class MatrixProperty

extends java.lang.Object

MatrixProperty

Given a matrix M -yields-> value ,where value is boolean (true or false).

All operations on a matrix fitting this pattern can be found here!

Author: purangp

Date: 08.03.2004 Time: 23:15:14

Nested Class Summary

class

MatrixProperty.MatrixBandwidth todo implement

Method Summary

static boolean	isColumnVector(Matrix m) Determines whether or not a matrix is a Column Vector
static boolean	isDefinitePositive(Matrix m) todo implement
static boolean	isDiagonal(Matrix m) Determines whether or not a square matrix is a Diagonal matrix
static boolean	isIdempotent(Matrix m) Determines whether or not a matrix is Idempotent
static boolean	isIdentity(Matrix m) Determines whether or not a diagonal matrix is an Identity matrix
static boolean	isLowerTriangular(Matrix m) Determines whether or not a matrix is lower triangular in form
static boolean	isMagicSquare(Matrix m) todo implement
static boolean	isRowVector(Matrix m) Determines whether or not a matrix is a Row Vector
static boolean	isScalar(Matrix m) Determines whether or not a square matrix is a Scalar matrix scalar matrix - a diagonal matrix in which all of the diagonal elements are areEqual //todo find a better way?
static boolean	isSemiDefinitePositive(Matrix m) todo implement
static boolean	isSingular(Matrix m) Determines whether or not a square matrix is Singular i.e has no inverse.
static boolean	isSkewSymmetric(Matrix m) Determines whether or not a matrix is SkewSymmetric
static boolean	isSquare(Matrix m) Determines whether or not a matrix is a square matrix.
static boolean	isSymetricPositiveDefinite(Matrix m)
static boolean	isSymmetric(Matrix m) Determines whether or not a matrix is Symmetric
static boolean	isUnit(Matrix m) Determines whether or not a diagonal matrix is an Unit matrix or an Identity matrix
static boolean	isUpperTriangular(Matrix m) Determines whether or not a matrix is upper triangular in form
static boolean	isVector(Matrix m) Determines whether or not a matrix is a Row or a Column Vector

Methods inherited from class java.lang.Object

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

Method Detail

isColumnVector

public static boolean isColumnVector(Matrix m)

Determines whether or not a matrix is a Column Vector

Parameters:

m -

Returns:

true iff m has only one column

isRowVector

public static boolean isRowVector(Matrix m)

Determines whether or not a matrix is a Row Vector

Parameters:

m -

Returns:

true iff m has only one row

isVector

public static boolean isVector(Matrix m)

Determines whether or not a matrix is a Row or a Column Vector

Parameters:

m -

Returns:

true iff m has only one row

isSquare

public static boolean isSquare(Matrix m)

Determines whether or not a matrix is a square matrix.

Parameters:

m -

Returns:

true iff m has as many columns as it has rows

isSymmetric

public static boolean isSymmetric(Matrix m)

Determines whether or not a matrix is Symmetric

Parameters:

m -

Returns:

true iff A' = A

isSkewSymmetric

public static boolean isSkewSymmetric(Matrix m)

Determines whether or not a matrix is SkewSymmetric

Parameters:

m -

Returns:

true if A' = -A

isIdempotent

public static boolean isIdempotent(Matrix m)

Determines whether or not a matrix is Idempotent

Parameters:

m -

Returns:

true if A = AA = AAA = AAAA... or A = A² = A³= A⁴ ..

isMagicSquare

public static boolean isMagicSquare(Matrix m)

todo implement

Parameters:

m -

Returns:

isSingular

public static boolean isSingular(Matrix m)

Determines whether or not a square matrix is Singular i.e has no inverse.

Parameters:

m - Matrix

Returns:

true iff A^-1 exists

isDiagonal

public static boolean isDiagonal(Matrix m)

Determines whether or not a square matrix is a Diagonal matrix

Parameters:

m - Matrix

Returns:

true iff a_ij=0 , for all i <> j

See Also:

isScalar(org.jmatrices.dbl.Matrix)

isIdentity

public static boolean isIdentity(Matrix m)

Determines whether or not a diagonal matrix is an Identity matrix

Parameters:

m - Matrix

Returns:

true iff a_ij=0 , for all i <> j and a_ij=1 , for all i = j

isUnit

public static boolean isUnit(Matrix m)

Determines whether or not a diagonal matrix is an Unit matrix or an Identity matrix

Parameters:

m - Matrix

Returns:

true iff a_ij=0 , for all i <> j and a_ij=1 , for all i = j

isUpperTriangular

public static boolean isUpperTriangular(Matrix m)

Determines whether or not a matrix is upper triangular in form

Parameters:

m -

Returns:

true if matrix is upper triangular in form

isLowerTriangular

public static boolean isLowerTriangular(Matrix m)

Determines whether or not a matrix is lower triangular in form

Parameters:

m -

Returns:

true if matrix is lower triangular in form

isScalar

public static boolean isScalar(Matrix m)

Determines whether or not a square matrix is a Scalar matrix

scalar matrix - a diagonal matrix in which all of the diagonal elements are areEqual

//todo find a better way?

Parameters:

m - Matrix

Returns:

true iff a_ij=0 , for all i <> j and a_ij=c , for all i = j

See Also:

isDiagonal(org.jmatrices.dbl.Matrix)

isSymetricPositiveDefinite

public static boolean isSymetricPositiveDefinite(Matrix m)

isDefinitePositive

public static boolean isDefinitePositive(Matrix m)

todo implement

Parameters:

m -

Returns:

isSemiDefinitePositive

public static boolean isSemiDefinitePositive(Matrix m)

todo implement

Parameters:

m -

Returns: