SRC/csytrs2.f(3)

🌸 NAME 🌸

SRC/csytrs2.f

okay so welcome to the SRC/csytrs2.f(3) page from the Library Functions Manual, bestie πŸ’– this is the manual page for the csytrs2 subroutine situation, and we are gonna go through every single detail together, no cap ✨


✨ SYNOPSIS ✨

Functions/Subroutines

       subroutine csytrs2 (uplo, n, nrhs, a, lda, ipiv, b, ldb, work, info)
           CSYTRS2

πŸ’… Function/Subroutine Documentation πŸ’…

   subroutine csytrs2 (character uplo, integer n, integer nrhs, complex,
       dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv,
       complex, dimension( ldb, * ) b, integer ldb, complex, dimension( * )
       work, integer info)
       CSYTRS2

πŸŽ€ Purpose πŸŽ€

okay so the whole main-character point of this subroutine is that CSYTRS2 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 and converted by CSYCONV. slay πŸ’…

🌈 Parameters 🌈

  • UPLO β€” UPLO is CHARACTER*1. It 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.
Note that A is input / output. This might be counter-intuitive, and one may think that A is input only. A is input / output. This is because, at the start of the subroutine, we permute A in a form and then we permute A back to its original form at the end.
  • 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.
  • 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).
  • WORK β€” WORK is COMPLEX array, dimension (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 130 of file csytrs2.f.

πŸ’œ Author πŸ’œ

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