drasys.or.linear.algebra
Interface AlgebraI

All Known Implementing Classes:

Algebra

public interface AlgebraI

Smart linear algebra operations. These algebraic operations are analagous to the drasys.or.linear.blas, but operate on all vector and matrix classes. Each method checks the class type and sparcity of the arguments to determine the best way to perform the operation.

References:

Linear Algebra and Its Applications
    Gilbert Strang / Hardcover / Published 1988
Matrix Computations (Johns Hopkins Studies in the Mathematical Sciences)
    Gene H. Golub, Charles F. Van Loan (Contributor) / Paperback / Published 1996
Numerical Recipes in C : The Art of Scientific Computing
    William H. Press, et al / Hardcover / Published 1993
Parallel Algorithms for Matrix Computations
    K.A. Gallivan / Paperback / Published 1990

Method Summary
DenseMatrix	add(MatrixI a, MatrixI b)           Add two matrices.
DenseVector	add(VectorI a, VectorI b)           Add two vectors.
DenseMatrix	invert(MatrixI a)           Invert a matrix.
DenseMatrix	matrixProduct(VectorI columnVector, VectorI rowVector)           Compute the matrix product of a column and row vector.
DenseMatrix	multiply(MatrixI a, MatrixI b)           Multiply two matrices.
DenseVector	multiply(MatrixI a, VectorI b)           Multiply a matrix by column vector.
DenseVector	multiply(VectorI a, MatrixI b)           Multiply a row vector by matrix.
double	scalerProduct(VectorI a, VectorI b)           Compute the dot product two vectors.
DenseMatrix	subtract(MatrixI a, MatrixI b)           Subtract two matrices.
DenseVector	subtract(VectorI a, VectorI b)           Subtract two vectors.
DenseMatrix	transpose(MatrixI a)           Transpose matrix.

 

Method Detail

add

public DenseMatrix add(MatrixI a,
                       MatrixI b)
                throws AlgebraException

Add two matrices.

Throws:

AlgebraException - if the sizes don't match.

subtract

public DenseMatrix subtract(MatrixI a,
                            MatrixI b)
                     throws AlgebraException

Subtract two matrices.

Throws:

AlgebraException - if the sizes don't match.

multiply

public DenseMatrix multiply(MatrixI a,
                            MatrixI b)
                     throws AlgebraException

Multiply two matrices.

Throws:

AlgebraException - if the sizes don't match.

multiply

public DenseVector multiply(VectorI a,
                            MatrixI b)
                     throws AlgebraException

Multiply a row vector by matrix.

Returns:

a column vector.

Throws:

AlgebraException - if the sizes don't match.

multiply

public DenseVector multiply(MatrixI a,
                            VectorI b)
                     throws AlgebraException

Multiply a matrix by column vector.

Returns:

a row vector.

Throws:

AlgebraException - if the sizes don't match.

transpose

public DenseMatrix transpose(MatrixI a)

Transpose matrix.

invert

public DenseMatrix invert(MatrixI a)
                   throws AlgebraException

Invert a matrix.

Throws:

AlgebraException - if the matrix isn't square or the inverse doesn't exist.

add

public DenseVector add(VectorI a,
                       VectorI b)
                throws AlgebraException

Add two vectors.

Throws:

AlgebraException - if the sizes don't match.

subtract

public DenseVector subtract(VectorI a,
                            VectorI b)
                     throws AlgebraException

Subtract two vectors.

Throws:

AlgebraException - if the sizes don't match.

scalerProduct

public double scalerProduct(VectorI a,
                            VectorI b)
                     throws AlgebraException

Compute the dot product two vectors.

Throws:

AlgebraException - if the sizes don't match.

matrixProduct

public DenseMatrix matrixProduct(VectorI columnVector,
                                 VectorI rowVector)
                          throws AlgebraException

Compute the matrix product of a column and row vector.

Throws:

AlgebraException - if the sizes don't match.