Visible to Intel only — GUID: GUID-BCC7FBF6-311F-437A-B9C9-F2529EE175A8
Visible to Intel only — GUID: GUID-BCC7FBF6-311F-437A-B9C9-F2529EE175A8
mkl_?getrinp
Computes the inverse of an LU-factored general matrix without pivoting.
Syntax
call mkl_sgetrinp( n, a, lda, work, lwork, info )
call mkl_dgetrinp( n, a, lda, work, lwork, info )
call mkl_cgetrinp( n, a, lda, work, lwork, info )
call mkl_zgetrinp( n, a, lda, work, lwork, info )
Include Files
mkl.fi
Description
The routine computes the inverse inv(A) of a general matrix A. Before calling this routine, call mkl_?getrfnp to factorize A.
Input Parameters
n |
INTEGER. The order of the matrix A; n≥ 0. |
a, work |
REAL for mkl_sgetrinp DOUBLE PRECISION for mkl_dgetrinp COMPLEX for mkl_cgetrinp DOUBLE COMPLEX for mkl_zgetrinp. Arrays: a(lda,*), work(*). a(lda,*) contains the factorization of the matrix A, as returned by mkl_?getrfnp: A = L*U. The second dimension of a must be at least max(1,n). work(*) is a workspace array of dimension at least max(1,lwork). |
lda |
INTEGER. The leading dimension of a; lda≥ max(1, n). |
lwork |
INTEGER. The size of the work array; lwork≥n. If lwork = -1, then a workspace query is assumed; the routine only calculates the optimal size of the work array, returns this value as the first entry of the work array, and no error message related to lwork is issued by xerbla. |
See Application Notes below for the suggested value of lwork.
Output Parameters
a |
Overwritten by the n-by-n matrix inv(A). |
work(1) |
If info = 0, on exit work(1) contains the minimum value of lwork required for optimum performance. Use this lwork for subsequent runs. |
info |
INTEGER. If info = 0, the execution is successful. If info = -i, the i-th parameter had an illegal value. If info = i, the i-th diagonal element of the factor U is zero, U is singular, and the inversion could not be completed. |
Application Notes
The total number of floating-point operations is approximately (4/3)n3 for real flavors and (16/3)n3 for complex flavors.