getri¶
Computes the inverse of an LU-factored general matrix determined by getrf.
Description
getri supports the following precisions.
T
float
double
std::complex<float>
std::complex<double>
The routine computes the inverse \(A^{-1}\) of a general matrix \(A\). Before calling this routine, call getrf to factorize \(A\).
getri (BUFFER Version)¶
Syntax
namespace oneapi::mkl::lapack {
void getri(sycl::queue &queue, std::int64_t n, sycl::buffer<T,1> &a, std::int64_t lda, sycl::buffer<std::int64_t,1> &ipiv, sycl::buffer<T,1> &scratchpad, std::int64_t scratchpad_size)
}
Input Parameters
- queue
The queue where the routine should be executed.
- n
The order of the matrix \(A\) \((0 \le n)\).
- a
The buffer
aas returned by getrf. Must be of size at least \(\text{lda} \cdot \max(1,n)\).- lda
The leading dimension of
a\((n \le \text{lda})\).- ipiv
The buffer as returned by getrf. The dimension of
ipivmust be at least \(\max(1, n)\).- 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 getri_scratchpad_size function.
Output Parameters
- a
Overwritten by the \(n \times n\) matrix \(A\).
- scratchpad
Buffer holding scratchpad memory to be used by routine for storing intermediate results.
getri (USM Version)¶
Syntax
namespace oneapi::mkl::lapack {
sycl::event getri(sycl::queue &queue, std::int64_t n, T *a, std::int64_t lda, std::int64_t *ipiv, T *scratchpad, std::int64_t scratchpad_size, const std::vector<sycl::event> &events = {})
}
Input Parameters
- queue
The queue where the routine should be executed.
- n
The order of the matrix \(A\) \((0 \le n)\).
- a
The array as returned by getrf. Must be of size at least \(\text{lda} \cdot \max(1,n)\).
- lda
The leading dimension of
a\((n \le \text{lda})\).- ipiv
The array as returned by getrf. The dimension of
ipivmust be at least \(\max(1, n)\).- 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 getri_scratchpad_size function.- events
List of events to wait for before starting computation. Defaults to empty list.
Output Parameters
- a
Overwritten by the \(n \times n\) matrix \(A\).
- scratchpad
Pointer to scratchpad memory to be used by routine for storing intermediate results.
Return Values
Output event to wait on to ensure computation is complete.
Parent topic: LAPACK Linear Equation Routines