/home/abui...RC/zgesv.f(3)

📦 version 3.12.0, in opensuse-leap 16.0

You’re reading the zgesv.f(3) page from the Library Functions Manual. Bestie, this is the LAPACK subroutine that solves complex linear systems, and we’re keeping every detail exactly where it belongs. 💖

🌸 NAME 🌸

  • /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zgesv.f

✨ SYNOPSIS ✨

Functions/Subroutines

subroutine ZGESV (n, nrhs, a, lda, ipiv, b, ldb, info)

🫶 Function/Subroutine Documentation 🫶

subroutine ZGESV (integer n, integer nrhs, complex*16, dimension( lda, * )
       a, integer lda, integer, dimension( * ) ipiv, complex*16, dimension(
       ldb, * ) b, integer ldb, integer info)

🎯 Purpose 🎯

ZGESV computes the solution to a complex system of linear equations

A * X = B,

where A is an N-by-N matrix and X and B are N-by-NRHS 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.

🌸 Parameters 🌸

N

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 N-by-N 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 N-by-NRHS matrix of right hand side matrix B.

On exit, if INFO = 0, the N-by-NRHS 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 i-th 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.

💜 Author 💜

  • Univ. of Tennessee
  • Univ. of California Berkeley
  • Univ. of Colorado Denver
  • NAG Ltd.

📌 Definition at line 123 of file zgesv.f. 📌

🌈 Author 🌈

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