ZGETRS(3)

πŸ“¦ version 3.12.0, in opensuse-leap 16.0

Hiii bestie πŸ’– welcome to the zgetrs.f(3) page in the LAPACK Library Functions Manual ✨


🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zgetrs.f β€” yup, that's the exact file this whole page is about, no cap.

✨ SYNOPSIS ✨

πŸŽ€ Functions/Subroutines πŸŽ€

  • subroutine ZGETRS (trans, n, nrhs, a, lda, ipiv, b, ldb, info) β€” the full call, bestie. Every single argument is part of the vibe.
  • ZGETRS β€” literally the name, main character energy.

πŸ¦‹ Function/Subroutine Documentation πŸ¦‹

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

ZGETRS β€” okay, now we get into the actual details πŸ‘‘

πŸ’œ Purpose πŸ’œ

ZGETRS solves a system of linear equations:

A * X = B,  A**T * X = B,  or  A**H * X = B

with a general N-by-N matrix A using the LU factorization computed by ZGETRF. Periodt. πŸ”₯

πŸ“ Parameters πŸ“

  • TRANS β€” TRANS is CHARACTER*1. It specifies the form of the system of equations:
    • = 'N': A * X = B (No transpose)
    • = 'T': A**T * X = B (Transpose)
    • = 'C': A**H * X = B (Conjugate transpose)
  • N β€” N is INTEGER. The order of the matrix A. N >= 0.
  • NRHS β€” NRHS is INTEGER. The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
  • A β€” A is COMPLEX*16 array, dimension (LDA,N). The factors L and U from the factorization A = P*L*U as computed by ZGETRF.
  • LDA β€” LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N).
  • IPIV β€” IPIV is INTEGER array, dimension (N). The pivot indices from ZGETRF; for 1<=i<=N, row i of the matrix was interchanged with row IPIV(i).
  • B β€” B is COMPLEX*16 array, dimension (LDB,NRHS). On entry, the right hand side matrix B. On exit, the solution matrix X.
  • LDB β€” LDB is INTEGER. The leading dimension of the array B. LDB >= max(1,N).
  • INFO β€” INFO is INTEGER.
    • = 0: successful exit
    • < 0: if INFO = -i, the i-th argument had an illegal value

πŸ‘‘ Author πŸ‘‘

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

Definition at line 120 of file zgetrs.f.

πŸ‘‘ Author πŸ‘‘

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okay that's the whole page, bestie 🫢 β€” it's from LAPACK, Version 3.12.0, and the footer path is /home/abui...RC/zgetrs.f(3). mwah πŸ’‹

πŸ“¦ where this page comes from