CSPT02(3)

💖 CSPT02(3) 💖

hii bestie 🫶 welcome to the Library Functions Manual page for CSPT02(3). the manual name is folded in right here at the top, and the full path is down in NAME because that's literally what NAME says. iconic. 💅

🎀 NAME 🎀

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/cspt02.f

periodt. that's the whole NAME vibe. 🫶

✨ SYNOPSIS ✨

Functions/Subroutines

okay so here's the quick signature vibe:

subroutine CSPT02 (uplo, n, nrhs, a, x, ldx, b, ldb, rwork, resid)
    CSPT02

💅 Function/Subroutine Documentation 💅

here's the full signature, bestie — every type and dimension exactly as it says, no cap:

subroutine CSPT02 (character uplo, integer n, integer nrhs, complex,
     dimension( * ) a, complex, dimension( ldx, * ) x, integer ldx, complex,
     dimension( ldb, * ) b, integer ldb, real, dimension( * ) rwork, real
     resid)

yep, that's CSPT02 again. main character energy fr fr. 🌟

🦋 Purpose 🦋

okay so CSPT02 computes the residual in the solution of a complex symmetric system of linear equations A*x = b when packed storage is used for the coefficient matrix. the ratio computed is:

RESID = norm( B - A*X ) / ( norm(A) * norm(X) * EPS).

where EPS is the machine precision. no cap, that's the whole purpose. 💖

🌸 Parameters 🌸

vibe check on every parameter, one by one:

• UPLO — UPLO is CHARACTER*1. Specifies whether the upper or lower triangular part of the complex symmetric matrix A is stored:
  • = 'U': Upper triangular
  • = 'L': Lower triangular
• N — N is INTEGER. The number of rows and columns of the matrix A. N >= 0.
• NRHS — NRHS is INTEGER. The number of columns of B, the matrix of right hand sides. NRHS >= 0.
• A — A is COMPLEX array, dimension (N*(N+1)/2). The original complex symmetric matrix A, stored as a packed triangular matrix.
• X — X is COMPLEX array, dimension (LDX,NRHS). The computed solution vectors for the system of linear equations.
• LDX — LDX is INTEGER. The leading dimension of the array X. LDX >= max(1,N).
• B — B is COMPLEX array, dimension (LDB,NRHS). On entry, the right hand side vectors for the system of linear equations. On exit, B is overwritten with the difference B - A*X.
• LDB — LDB is INTEGER. The leading dimension of the array B. LDB >= max(1,N).
• RWORK — RWORK is REAL array, dimension (N).
• RESID — RESID is REAL. The maximum over the number of right hand sides of norm(B - A*X) / ( norm(A) * norm(X) * EPS ).

👑 Author 👑

the author squad is:

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

Definition at line 121 of file cspt02.f.

🤖 Author (the auto-generated one) 🤖

Generated automatically by Doxygen for LAPACK from the source code.

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k bye bestie 💖 this footer vibe is from LAPACK, Version 3.12.0, and the path /home/abui...IN/cspt02.f(3). slay. 🎀