SRC/csytrs_rook.f(3)

πŸ’– csytrs_rook β€” CSYTRS_ROOK πŸ’–

okay bestie, welcome to SRC/csytrs_rook.f(3) from the Library Functions Manual πŸ’… this is the whole tea on the CSYTRS_ROOK subroutine, and we’re gonna make it make sense. No cap.


🌸 NAME 🌸

SRC/csytrs_rook.f β€” literally the page for CSYTRS_ROOK, fr fr. 🫢


✨ SYNOPSIS ✨

Functions/Subroutines

Here’s the function/subroutine lineup, exactly as written:

subroutine csytrs_rook (uplo, n, nrhs, a, lda, ipiv, b, ldb, info)
    CSYTRS_ROOK

The main character is CSYTRS_ROOK πŸ‘‘.


πŸ¦‹ Function/Subroutine Documentation πŸ¦‹

The full signature is giving very specific, very iconic:

subroutine csytrs_rook (character uplo, integer n, integer nrhs, complex,
    dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv,
    complex, dimension( ldb, * ) b, integer ldb, integer info)

CSYTRS_ROOK

πŸŽ€ Purpose πŸŽ€

CSYTRS_ROOK solves a system of linear equations A*X = B with a complex symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CSYTRF_ROOK. slay πŸ’–

πŸ’œ Parameters πŸ’œ

  • UPLO β€” UPLO is CHARACTER*1. Specifies whether the details of the factorization are stored as an upper or lower triangular matrix.
    • = 'U': Upper triangular, form is A = U*D*U**T;
    • = 'L': Lower triangular, form is A = L*D*L**T.
  • 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 array, dimension (LDA,N). The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by CSYTRF_ROOK.
  • LDA β€” LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N).
  • IPIV β€” IPIV is INTEGER array, dimension (N). Details of the interchanges and the block structure of D as determined by CSYTRF_ROOK.
  • B β€” B is COMPLEX 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.

🌈 Contributors 🌈

  • December 2016, Igor Kozachenko, Computer Science Division, University of California, Berkeley
  • September 2007, Sven Hammarling, Nicholas J. Higham, Craig Lucas, School of Mathematics, University of Manchester

Definition at line 134 of file csytrs_rook.f.


πŸ‘‘ Author πŸ‘‘

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πŸ’– That’s the whole page, bestie! LAPACK Version 3.12.0, source SRC/csytrs_rook.f(3) β€” go forth and solve those symmetric systems. πŸ«Άβœ¨πŸ’…

πŸ“¦ where this page comes from