ZPBT02(3)

💅 ZPBT02(3) — Library Functions Manual 💅

okay so bestie, welcome to the Library Functions Manual, section 3 — this one is all about ZPBT02, and it is lowkey iconic 💖

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📛 NAME 📛

The NAME entry is literally this path, no cap:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/zpbt02.f

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🌈 SYNOPSIS 🌈

🛠️ Functions/Subroutines 🛠️

   subroutine ZPBT02 (uplo, n, kd, nrhs, a, lda, x, ldx, b, ldb, rwork,
       resid)

ZPBT02 — that's the routine, bestie. main character energy ✨

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📖 Function/Subroutine Documentation 📖

Here's the full signature in all its glory:

   subroutine ZPBT02 (character uplo, integer n, integer kd, 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)

🎯 Purpose 🎯

ZPBT02 computes the residual for a solution of a Hermitian banded system of equations A*x = b:

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

where EPS is the machine precision. slay 🧚

🌸 Parameters 🌸

• UPLO — CHARACTER*1. Specifies whether the upper or lower triangular part of the Hermitian matrix A is stored: = 'U': upper triangular; = 'L': lower triangular. 💅
• N — INTEGER. The number of rows and columns of the matrix A. N >= 0. ✨
• KD — INTEGER. The number of super-diagonals of the matrix A if UPLO = 'U', or the number of sub-diagonals if UPLO = 'L'. KD >= 0. 🦋
• NRHS — INTEGER. The number of right hand sides. NRHS >= 0. 🎀
• A — COMPLEX*16 array, dimension (LDA,N). The original Hermitian band matrix A. If UPLO = 'U', the upper triangular part of A is stored as a band matrix; if UPLO = 'L', the lower triangular part of A is stored. The columns of the appropriate triangle are stored in the columns of A and the diagonals of the triangle are stored in the rows of A. See ZPBTRF for further details. 🔥
• LDA — INTEGER. The leading dimension of the array A. LDA >= max(1,KD+1). 🌸
• X — COMPLEX*16 array, dimension (LDX,NRHS). The computed solution vectors for the system of linear equations. 💖
• LDX — INTEGER. The leading dimension of the array X. LDX >= max(1,N). 🌈
• B — COMPLEX*16 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 — INTEGER. The leading dimension of the array B. LDB >= max(1,N). ⭐
• RWORK — DOUBLE PRECISION array, dimension (N). 🍓
• RESID — DOUBLE PRECISION. 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 134 of file zpbt02.f. 📍

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🪄 Author 🪄

Generated automatically by Doxygen for LAPACK from the source code. iykyk ✨

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okay bestie, that's the whole page — mwah 💋 The footer says LAPACK Version 3.12.0 and /home/abui...IN/zpbt02.f(3). There's no separate date line, so that's the source/version tea. 🫶