potri¶
Computes the inverse of a symmetric (Hermitian) positive-definite matrix
using the Cholesky factorization. This routine belongs to the
oneapi::mkl::lapack
namespace.
Syntax
namespace oneapi::mkl::lapack {
void potri(cl::sycl::queue &queue, mkl::uplo uplo, std::int64_t n, cl::sycl::buffer<T> &a, std::int64_t lda, cl::sycl::buffer<T> &scratchpad, std::int64_t scratchpad_size)
}
potri supports the following precisions and devices:
T |
Devices Supported |
---|---|
|
Host, CPU, and GPU |
|
Host, CPU, and GPU |
|
Host, CPU, and GPU |
|
Host, CPU, and GPU |
Description
The routine computes the inverse inv(A)
of a symmetric positive
definite or, for complex flavors, Hermitian positive-definite matrix
A
. Before calling this routine, call
potrf
to factorize A
.
Input Parameters
- queue
Device queue where calculations will be performed.
- uplo
Indicates how the input matrix A has been factored:
If
uplo = mkl::uplo::upper
, the upper triangle ofA
is stored.If
uplo = mkl::uplo::lower
, the lower triangle ofA
is stored.- n
Specifies the order of the matrix
A
(0≤n
).- a
Contains the factorization of the matrix
A
, as returned by potrf (USM Version). The second dimension ofa
must be at leastmax(1, n)
.- lda
The leading dimension of
a
.- scratchpad
Buffer holding scratchpad memory to be used by the routine for storing intermediate results.
- scratchpad_size
Size of scratchpad memory as a number of floating point elements of type
T
. Size should not be less than the value returned by the potri_scratchpad_size function.
Output Parameters
- a
Overwritten by the upper or lower triangle of the inverse of
A
. Specified by uplo.
Exceptions
mkl::lapack::exception |
This exception is thrown when problems occur during calculations. You can obtain the info code of the problem using the info() method of the exception object: If |