
NAMEzgesv.f SYNOPSISFunctions/Subroutinessubroutine zgesv (N, NRHS, A, LDA, IPIV, B, LDB, INFO) Function/Subroutine Documentationsubroutine zgesv (integerN, integerNRHS, complex*16, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex*16, dimension( ldb, * )B, integerLDB, integerINFO)ZGESV computes the solution to system of linear equations A * X = B for GE matrices (simple driver) Purpose:ZGESV computes the solution to a complex system of linear equations A * X = B, where A is an NbyN matrix and X and B are NbyNRHS matrices. The LU decomposition with partial pivoting and row interchanges is used to factor A as A = P * L * U, where P is a permutation matrix, L is unit lower triangular, and U is upper triangular. The factored form of A is then used to solve the system of equations A * X = B. N
Author:
N is INTEGER The number of linear equations, i.e., the order of the matrix A. N >= 0.NRHS NRHS is INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.A A is COMPLEX*16 array, dimension (LDA,N) On entry, the NbyN coefficient matrix A. On exit, the factors L and U from the factorization A = P*L*U; the unit diagonal elements of L are not stored.LDA LDA is INTEGER The leading dimension of the array A. LDA >= max(1,N).IPIV IPIV is INTEGER array, dimension (N) The pivot indices that define the permutation matrix P; row i of the matrix was interchanged with row IPIV(i).B B is COMPLEX*16 array, dimension (LDB,NRHS) On entry, the NbyNRHS matrix of right hand side matrix B. On exit, if INFO = 0, the NbyNRHS solution matrix X.LDB LDB is INTEGER The leading dimension of the array B. LDB >= max(1,N).INFO INFO is INTEGER = 0: successful exit < 0: if INFO = i, the ith argument had an illegal value > 0: if INFO = i, U(i,i) is exactly zero. The factorization has been completed, but the factor U is exactly singular, so the solution could not be computed. Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
Definition at line 123 of file zgesv.f.
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