CSPTRS(3)

CSPTRS(3) Library Functions Manual 🎀

🌸 NAME 🌸

Bestie, this manual page is for the file at /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/csptrs.f — that's the whole NAME situation, and yes, it's giving very "source file, but make it a manual page." 💅

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✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

• subroutine CSPTRS (uplo, n, nrhs, ap, ipiv, b, ldb, info) — CSPTRS itself, the main character. 👑

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💫 Function/Subroutine Documentation 💫

Here's the full signature, copied exactly so nobody comes for me:

subroutine CSPTRS (character uplo, integer n, integer nrhs, complex,
       dimension( * ) ap, integer, dimension( * ) ipiv, complex, dimension(
       ldb, * ) b, integer ldb, integer info)

🧠 Purpose 🧠

Okay so CSPTRS solves a system of linear equations A*X = B where A is a complex symmetric matrix stored in packed format, using the factorization A = U*D*U**T or A = L*D*L**T that was computed by CSPTRF. That's the whole vibe: CSPTRF did the factorization, and CSPTRS comes through to solve. ✨

🎀 Parameters 🎀

• UPLO — CHARACTER*1. This tells you 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 — INTEGER. The order of the matrix A. N >= 0.
• NRHS — INTEGER. The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
• AP — COMPLEX array, dimension (N*(N+1)/2). The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by CSPTRF, stored as a packed triangular matrix. Iconic packed-format behavior, no cap. 🫶
• IPIV — INTEGER array, dimension (N). Details of the interchanges and the block structure of D as determined by CSPTRF.
• B — COMPLEX array, dimension (LDB,NRHS). On entry, the right hand side matrix B. On exit, the solution matrix X.
• LDB — INTEGER. The leading dimension of the array B. LDB >= max(1,N).
• INFO — INTEGER.
  • = 0: successful exit
  • < 0: if INFO = -i, the i-th argument had an illegal value

👑 Author 👑

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

Definition at line 114 of file csptrs.f.

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🦋 Author 🦋

This page was generated automatically by Doxygen for LAPACK from the source code.

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Signed off with love: LAPACK • Version 3.12.0 • footer path /home/abui...RC/csptrs.f(3) — and no separate date was printed on that footer line, so I'm not inventing one, bestie. 💖