tbsv (USM Version)

Solves a system of linear equations whose coefficients are in a triangular band matrix.

Syntax

event tbsv(queue &exec_queue, uplo upper_lower, transpose trans, diag unit_nonunit, std::int64_t n, std::int64_t k, const T *a, std::int64_t lda, T *x, std::int64_t incx, const vector_class<event> &dependencies = {})

The USM version of tbsv supports the following precisions and devices.

T

Devices Supported

float

Host, CPU, and GPU

double

Host, CPU, and GPU

std::complex<float>

Host, CPU, and GPU

std::complex<double>

Host, CPU, and GPU

Description

The tbsv routines solve a system of linear equations whose coefficients are in a triangular band matrix. The operation is defined as

op(A)*x = b

where:

op(A) is one of op(A) = A, or op(A) = AT, or op(A) = AH,

A is an n-by-n unit or non-unit, upper or lower triangular band matrix, with (k + 1) diagonals,

b and x are vectors of length n.

Input Parameters

exec_queue

The queue where the routine should be executed.

upper_lower

Specifies whether A is upper or lower triangular. See Data Types for more details.

trans

Specifies op(A), the transposition operation applied to A. See Data Types for more details.

unit_nonunit

Specifies whether the matrix A is unit triangular or not. See Data Types for more details.

n

Number of rows and columns of A. Must be at least zero.

k

Number of sub/super-diagonals of the matrix A. Must be at least zero.

a

Pointer to input matrix A. The array holding input matrix A must have size at least lda*n. See Matrix and Vector Storage for more details.

lda

Leading dimension of matrix A. Must be at least (k + 1), and positive.

x

Pointer to input vector x. The array holding input vector x must be of size at least (1 + (n - 1)*abs(incx)). See Matrix and Vector Storage for more details.

incx

Stride of vector x.

dependencies

List of events to wait for before starting computation, if any. If omitted, defaults to no dependencies.

Output Parameters

x

Pointer to the solution vector x.

Return Values

Output event to wait on to ensure computation is complete.