drasys.or.linear.algebra
Class Algebra

java.lang.Object
  |
  +--drasys.or.linear.algebra.Algebra

public class Algebra

extends java.lang.Object

implements AlgebraI, java.io.Serializable

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

See Also:

Serialized Form

Constructor Summary

Algebra()           Create new object with default instances of the BLAS.

Algebra(VectorBLAS1 blas1, MatrixBLAS2 blas2, MatrixBLAS3 blas3)           Create new object with BLAS computations enabled and default instances of the BLAS.

 

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 vector and a 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 a matrix.

 

Methods inherited from class java.lang.Object

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

 

Constructor Detail

Algebra

public Algebra()

Create new object with default instances of the BLAS.

Algebra

public Algebra(VectorBLAS1 blas1,
               MatrixBLAS2 blas2,
               MatrixBLAS3 blas3)

Create new object with BLAS computations enabled and default instances of the BLAS. If one of the BLAS arguments is null then that BLAS will not be used.

add

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

Add two matrices.

Specified by:

add in interface AlgebraI

Throws:

AlgebraException - if the sizes don't match.

subtract

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

Subtract two matrices.

Specified by:

subtract in interface AlgebraI

Throws:

AlgebraException - if the sizes don't match.

multiply

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

Multiply two matrices.

Specified by:

multiply in interface AlgebraI

Throws:

AlgebraException - if the sizes don't match.

multiply

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

Multiply a row vector by matrix.

Specified by:

multiply in interface AlgebraI

Throws:

AlgebraException - if the sizes don't match.

multiply

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

Multiply a matrix by column vector.

Specified by:

multiply in interface AlgebraI

Throws:

AlgebraException - if the sizes don't match.

add

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

Add two vectors.

Specified by:

add in interface AlgebraI

Throws:

AlgebraException - if the sizes don't match.

subtract

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

Subtract two vectors.

Specified by:

subtract in interface AlgebraI

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 vector and a row vector.

Specified by:

matrixProduct in interface AlgebraI

Throws:

AlgebraException - if the sizes don't match.

scalerProduct

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

Compute the dot product two vectors.

Specified by:

scalerProduct in interface AlgebraI

Throws:

AlgebraException - if the sizes don't match.

transpose

public DenseMatrix transpose(MatrixI a)

Transpose a matrix.

Specified by:

transpose in interface AlgebraI

Throws:

AlgebraException - if the sizes don't match.

invert

public DenseMatrix invert(MatrixI a)
                   throws AlgebraException

Invert a matrix.

Specified by:

invert in interface AlgebraI

Throws:

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