Package jsci.maths.matrices

Matrix and Vector classes.

See: Description

Interface Summary

Interface	Description
DiagonalMatrix
SquareMatrix
TridiagonalMatrix

Class Summary

Class	Description
AbstractComplexMatrix	The AbstractComplexMatrix class provides an object for encapsulating matrices containing complex numbers.
AbstractComplexSquareMatrix	The AbstractComplexSquareMatrix class provides an object for encapsulating square matrices containing complex numbers.
AbstractDoubleMatrix	The AbstractDoubleMatrix class provides an object for encapsulating double matrices.
AbstractDoubleSquareMatrix	The AbstractDoubleSquareMatrix class provides an object for encapsulating double square matrices.
AbstractIntegerMatrix	The AbstractIntegerMatrix class provides an object for encapsulating integer matrices.
AbstractIntegerSquareMatrix	The AbstractIntegerSquareMatrix class provides an object for encapsulating integer square matrices.
ComplexDiagonalMatrix	The ComplexDiagonalMatrix class provides an object for encapsulating diagonal matrices containing complex numbers.
ComplexMatrix	The ComplexMatrix class provides an object for encapsulating matrices containing complex numbers.
ComplexSquareMatrix	The ComplexSquareMatrix class provides an object for encapsulating square matrices containing complex numbers.
ComplexTridiagonalMatrix	The ComplexTridiagonalMatrix class provides an object for encapsulating tridiagonal matrices containing complex numbers.
DoubleDiagonalMatrix	The DoubleDiagonalMatrix class provides an object for encapsulating double diagonal matrices.
DoubleMatrix	The DoubleMatrix class provides an object for encapsulating double matrices.
DoubleMatrixAlgebra
DoubleSparseMatrix	The DoubleSparseMatrix class provides an object for encapsulating sparse matrices.
DoubleSparseSquareMatrix	The DoubleSparseSquareMatrix class provides an object for encapsulating sparse square matrices.
DoubleSquareMatrix	The DoubleSquareMatrix class provides an object for encapsulating double square matrices.
DoubleTridiagonalMatrix	The DoubleTridiagonalMatrix class provides an object for encapsulating double tridiagonal matrices.
IntegerDiagonalMatrix	The IntegerDiagonalMatrix class provides an object for encapsulating integer diagonal matrices.
IntegerMatrix	The IntegerMatrix class provides an object for encapsulating integer matrices.
IntegerMatrixAlgebra
IntegerSquareMatrix	The IntegerSquareMatrix class provides an object for encapsulating integer square matrices.
IntegerTridiagonalMatrix	The IntegerTridiagonalMatrix class provides an object for encapsulating integer tridiagonal matrices.
Matrix	The Matrix superclass provides an abstract encapsulation for matrices.
RingMatrix	The RingMatrix class provides an object for encapsulating matrices over an arbitrary ring.

Exception Summary

Exception	Description
MatrixDimensionException	This exception occurs when there is a problem involving a matrix's dimensions.

Package jsci.maths.matrices Description

Matrix and Vector classes.

The matrix and vector classes support three different numeric types. These are integer (for speed), double (for accuracy) and complex.

The square matrix classes introduce the following methods:

• LU decomposition (luDecompose)

  Decomposes a matrix M into a lower triangular matrix L and an upper triangular matrix U, such that M=LU.

• Cholesky decomposition (choleskyDecompose)

  Similar to LU decomposition but with the addition property that U=L^T. The matrix must be symmetric and positive definite for this to work correctly.

• Singular value decomposition (singularValueDecompose)

  Decomposes a matrix M into an orthogonal matrix U, a diagonal matrix S and an orthogonal matrix V, such that M=USV^T.

• Inverse (inverse)

  Computes the inverse of a matrix using LU decomposition (M^-1=U^-1L^-1).

Where ever possible, the abstract matrix/vector API should be used in preference to a particular matrix/vector implementation API. That is, use code like AbstractDoubleVector vec = new DoubleVector(dim);. This philosophy is similar to that of the Java Collections Framework.