Computational

Inverse, multiply. More...

Functions
template<typename scalar_t >
void	slate::trtri (TriangularMatrix< scalar_t > &A, Options const &opts)
	Distributed parallel inverse of a triangular matrix.
template<typename scalar_t >
void	slate::trtrm (TriangularMatrix< scalar_t > &A, Options const &opts)
	Distributed parallel inverse of a triangular matrix.

Detailed Description

Inverse, multiply.

Function Documentation

trtri()

template<typename scalar_t >

void slate::trtri	(	TriangularMatrix< scalar_t > &	A,
		Options const &	opts
	)

Distributed parallel inverse of a triangular matrix.

Computes the inverse of an upper or lower triangular matrix \(A\).

Complexity (in real): \(\approx \frac{1}{3} n^{3}\) flops.

Template Parameters

scalar_t

One of float, double, std::complex<float>, std::complex<double>.

Parameters

[in,out]	A	On entry, the n-by-n triangular matrix \(A\). On exit, if return value = 0, the (triangular) inverse of the original matrix \(A\).
[in]	opts	Additional options, as map of name = value pairs. Possible options: Option::Lookahead: Number of panels to overlap with matrix updates. lookahead >= 0. Default 1. Option::Target: Implementation to target. Possible values: HostTask: OpenMP tasks on CPU host [default]. HostNest: nested OpenMP parallel for loop on CPU host. HostBatch: batched BLAS on CPU host. Devices: batched BLAS on GPU device.

TODO: return value

Return values

0	successful exit
>0	for return value = \(i\), \(A(i,i)\) is exactly zero. The triangular matrix is singular and its inverse can not be computed.

trtrm()

template<typename scalar_t >

void slate::trtrm	(	TriangularMatrix< scalar_t > &	A,
		Options const &	opts
	)

Distributed parallel inverse of a triangular matrix.

Computes the inverse of an upper or lower triangular matrix \(A\).

Template Parameters

scalar_t

One of float, double, std::complex<float>, std::complex<double>.

Parameters

[in,out]	A	On entry, the n-by-n triangular matrix \(A\). On exit, if return value = 0, the (triangular) inverse of the original matrix \(A\).
[in]	opts	Additional options, as map of name = value pairs. Possible options: Option::Target: Implementation to target. Possible values: HostTask: OpenMP tasks on CPU host [default]. HostNest: nested OpenMP parallel for loop on CPU host. HostBatch: batched BLAS on CPU host. Devices: batched BLAS on GPU device.

TODO: return value

Return values

0	successful exit