LowerMatrix.h File Reference

Specialized container for a lower triangular matrix, O(N^2/2) storage. Used by symmetry exploiting matrix decompositions (Cholesky, LDL') More...

#include <myramath/utility/detail/LIBPUBLIC.h>
#include <myramath/utility/Number.h>
#include <myramath/dense/LowerMatrixRange.h>
#include <myramath/dense/MatrixRange.h>
#include <utility>
#include <vector>
#include <iosfwd>
#include <initializer_list>

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Classes
class	myra::Expression< Arity, Number >
	Given an index (i,j,etc), returns a value. More...
class	myra::LowerMatrix< Number >
	Stores a lower triangular matrix in rectangular packed format. More...
class	myra::Matrix< Number >
	Tabulates an IxJ matrix. Allows random access, has column major layout to be compatible with BLAS/LAPACK. More...
class	myra::LowerMatrix< Number >
	Stores a lower triangular matrix in rectangular packed format. More...
class	myra::ReflectNumber< LowerMatrix< Number > >

Functions
LowerMatrix< NumberS >	myra::operator+ (const CLowerMatrixRange< NumberS > &A, const CLowerMatrixRange< NumberS > &B)
	Returns A+B.
LowerMatrix< NumberD >	myra::operator+ (const CLowerMatrixRange< NumberD > &A, const CLowerMatrixRange< NumberD > &B)
	Returns A+B.
LowerMatrix< NumberC >	myra::operator+ (const CLowerMatrixRange< NumberC > &A, const CLowerMatrixRange< NumberC > &B)
	Returns A+B.
LowerMatrix< NumberZ >	myra::operator+ (const CLowerMatrixRange< NumberZ > &A, const CLowerMatrixRange< NumberZ > &B)
	Returns A+B.
LowerMatrix< NumberS >	myra::operator- (const CLowerMatrixRange< NumberS > &A, const CLowerMatrixRange< NumberS > &B)
	Returns A-B.
LowerMatrix< NumberD >	myra::operator- (const CLowerMatrixRange< NumberD > &A, const CLowerMatrixRange< NumberD > &B)
	Returns A-B.
LowerMatrix< NumberC >	myra::operator- (const CLowerMatrixRange< NumberC > &A, const CLowerMatrixRange< NumberC > &B)
	Returns A-B.
LowerMatrix< NumberZ >	myra::operator- (const CLowerMatrixRange< NumberZ > &A, const CLowerMatrixRange< NumberZ > &B)
	Returns A-B.
LowerMatrix< NumberS >	myra::operator* (NumberS alpha, const CLowerMatrixRange< NumberS > &A)
	Returns alpha*A.
LowerMatrix< NumberD >	myra::operator* (NumberD alpha, const CLowerMatrixRange< NumberD > &A)
	Returns alpha*A.
LowerMatrix< NumberC >	myra::operator* (NumberC alpha, const CLowerMatrixRange< NumberC > &A)
	Returns alpha*A.
LowerMatrix< NumberZ >	myra::operator* (NumberZ alpha, const CLowerMatrixRange< NumberZ > &A)
	Returns alpha*A.
LowerMatrix< NumberS >	myra::operator* (const CLowerMatrixRange< NumberS > &A, NumberS alpha)
	Returns A*alpha.
LowerMatrix< NumberD >	myra::operator* (const CLowerMatrixRange< NumberD > &A, NumberD alpha)
	Returns A*alpha.
LowerMatrix< NumberC >	myra::operator* (const CLowerMatrixRange< NumberC > &A, NumberC alpha)
	Returns A*alpha.
LowerMatrix< NumberZ >	myra::operator* (const CLowerMatrixRange< NumberZ > &A, NumberZ alpha)
	Returns A*alpha.
LowerMatrix< NumberC >	myra::make_complex (const CLowerMatrixRange< NumberS > &A)
	Promotes a real LowerMatrix into a complex one.
LowerMatrix< NumberZ >	myra::make_complex (const CLowerMatrixRange< NumberD > &A)
	Promotes a real LowerMatrix into a complex one.
LowerMatrix< NumberC >	myra::make_complex (const CLowerMatrixRange< NumberS > &R, const CLowerMatrixRange< NumberS > &I)
	Builds a complex LowerMatrix from real/imaginary parts.
LowerMatrix< NumberZ >	myra::make_complex (const CLowerMatrixRange< NumberD > &R, const CLowerMatrixRange< NumberD > &I)
	Builds a complex LowerMatrix from real/imaginary parts.
LowerMatrix< NumberS >	myra::realpart (const CLowerMatrixRange< NumberC > &A)
	Extracts the real part of a complex LowerMatrix.
LowerMatrix< NumberD >	myra::realpart (const CLowerMatrixRange< NumberZ > &A)
	Extracts the real part of a complex LowerMatrix.
LowerMatrix< NumberS >	myra::imagpart (const CLowerMatrixRange< NumberC > &A)
	Extracts the imaginary part of a complex LowerMatrix.
LowerMatrix< NumberD >	myra::imagpart (const CLowerMatrixRange< NumberZ > &A)
	Extracts the imaginary part of a complex LowerMatrix.

Detailed Description

Specialized container for a lower triangular matrix, O(N^2/2) storage. Used by symmetry exploiting matrix decompositions (Cholesky, LDL')