TESTING/LIN/zsyt02.f(3)

🎀 NAME 🎀

Bestie, this is the manual page for TESTING/LIN/zsyt02.f 💖 The actual function inside is zsyt02, and it's giving “tiny testing helper with main character energy,” no cap.

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✨ SYNOPSIS ✨

🧸 Functions/Subroutines 🧸

This page documents exactly one subroutine, and here's the signature lineup, copied fresh:

subroutine zsyt02 (uplo, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
    ZSYT02

The all-caps name is ZSYT02, iykyk 👑

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🧚 Function/Subroutine Documentation 🧚

Here's the full documented signature, character-for-character so nobody's fave argument gets lost:

subroutine zsyt02 (character uplo, integer n, integer nrhs, complex*16,
     dimension( lda, * ) a, integer lda, complex*16, dimension( ldx, * ) x,
     integer ldx, complex*16, dimension( ldb, * ) b, integer ldb, double
     precision, dimension( * ) rwork, double precision resid)
    ZSYT02

And the routine name is ZSYT02 again — consistent queen ✨

🌸 Purpose 🌸

ZSYT02 computes the residual for a solution to a complex symmetric system of linear equations A*x = b:

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

where EPS is the machine epsilon. That's the formula, untouched, periodt 💅

💜 Parameters 💜

UPLO

UPLO is CHARACTER*1. It specifies whether the upper or lower triangular part of the symmetric matrix A is stored:

• = 'U': upper triangular
• = 'L': lower triangular

N

N is INTEGER. It's the number of rows and columns of the matrix A. N >= 0.

NRHS

NRHS is INTEGER. It's the number of columns of B, the matrix of right hand sides. NRHS >= 0.

A

A is COMPLEX*16 array, dimension (LDA,N). It's the original complex symmetric matrix A.

LDA

LDA is INTEGER. It's the leading dimension of the array A. LDA >= max(1,N)

X

X is COMPLEX*16 array, dimension (LDX,NRHS). These are the computed solution vectors for the system of linear equations.

LDX

LDX is INTEGER. It's the leading dimension of the array X. LDX >= max(1,N).

B

B is COMPLEX*16 array, dimension (LDB,NRHS). On entry, these are 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. It's the leading dimension of the array B. LDB >= max(1,N).

RWORK

RWORK is DOUBLE PRECISION array, dimension (N) 🫶

RESID

RESID is DOUBLE PRECISION. It's the maximum over the number of right hand sides of norm(B - A*X) / ( norm(A) * norm(X) * EPS ).

👑 Author 👑

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

Definition at line 125 of file zsyt02.f.

💖 Author 💖

Generated automatically by Doxygen for LAPACK from the source code.

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Okay that's the whole vibe check, bestie 💅 The footer energy is LAPACK Version 3.12.0, and the page tag is TESTING/LIN/zsyt02.f(3). The date field is literally not printed on this footer, so I'm not inventing one — periodt 🎀✨