DiagonalMatrix.h File Reference

Container for a diagonal matrix, O(n) storage. Used by SVD, row/column scaling, etc. More...

#include <myramath/MYRAMATH_EXPORT.h>
#include <myramath/utility/Number.h>
#include <myramath/dense/DiagonalMatrixRange.h>
#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::DiagonalMatrix< Number >
	Tabulates the values of a square NxN diagonal matrix. Allows random access, but only on the diagonal. 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::MatrixRange< Number >
	Represents a mutable MatrixRange. More...
class	myra::Vector< Number >
	Tabulates a vector of length N, allows random access. More...
class	myra::VectorRange< Number >
	Represents a mutable VectorRange. More...
class	myra::DiagonalMatrix< Number >
	Tabulates the values of a square NxN diagonal matrix. Allows random access, but only on the diagonal. More...
class	myra::ReflectNumber< DiagonalMatrix< Number > >
	Specializing ReflectNumber<> for DiagonalMatrix<Number> More...

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

Detailed Description

Container for a diagonal matrix, O(n) storage. Used by SVD, row/column scaling, etc.