SLASCL(3)

🌸 NAME 🌸

okay bestie, welcome to the slascl.f(3) page from the Library Functions Manual — the header path is /home/abui...RC/slascl.f(3). The NAME section is literally just this file path:

/home/abuild/rpmbuild/BUILD/lapack-
static-3.12.0-build/lapack-3.12.0/SRC/slascl.f

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✨ SYNOPSIS ✨

Under Functions/Subroutines, the synopsis drops this signature:

subroutine SLASCL (type, kl, ku, cfrom, cto, m, n, a, lda, info)

and the one-liner is: SLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom.

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🦋 Function/Subroutine Documentation 🦋

The full signature is:

subroutine SLASCL (character type, integer kl, integer ku, real cfrom, real
    cto, integer m, integer n, real, dimension( lda, * ) a, integer lda,
    integer info)

And yes, the one-liner repeats: SLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom.

🎀 Purpose 🎀

The purpose is the whole vibe: SLASCL multiplies the M by N real matrix A by the real scalar CTO/CFROM. This is done without over/underflow as long as the final result CTO*A(I,J)/CFROM does not over/underflow. TYPE specifies that A may be full, upper triangular, lower triangular, upper Hessenberg, or banded.

💅 Parameters 💅

🌟 TYPE 🌟

TYPE is CHARACTER*1 and it indices the storage type of the input matrix. The values are:

• = 'G': A is a full matrix.
• = 'L': A is a lower triangular matrix.
• = 'U': A is an upper triangular matrix.
• = 'H': A is an upper Hessenberg matrix.
• = 'B': A is a symmetric band matrix with lower bandwidth KL and upper bandwidth KU and with the only the lower half stored.
• = 'Q': A is a symmetric band matrix with lower bandwidth KL and upper bandwidth KU and with the only the upper half stored.
• = 'Z': A is a band matrix with lower bandwidth KL and upper bandwidth KU. See SGBTRF for storage details.

🌈 KL 🌈

KL is INTEGER — the lower bandwidth of A. Referenced only if TYPE = 'B', 'Q' or 'Z'.

🦋 KU 🦋

KU is INTEGER — the upper bandwidth of A. Referenced only if TYPE = 'B', 'Q' or 'Z'.

🍓 CFROM 🍓

CFROM is REAL. That's the entire note, bestie.

💜 CTO 💜

CTO is REAL. The matrix A is multiplied by CTO/CFROM. A(I,J) is computed without over/underflow if the final result CTO*A(I,J)/CFROM can be represented without over/underflow. CFROM must be nonzero.

⭐ M ⭐

M is INTEGER — the number of rows of the matrix A. M >= 0.

🧚 N 🧚

N is INTEGER — the number of columns of the matrix A. N >= 0.

🎀 A 🎀

A is REAL array, dimension (LDA,N) — the matrix to be multiplied by CTO/CFROM. See TYPE for the storage type.

🔥 LDA 🔥

LDA is INTEGER — the leading dimension of the array A.

If TYPE = 'G', 'L', 'U', 'H', LDA >= max(1,M);
   TYPE = 'B', LDA >= KL+1;
   TYPE = 'Q', LDA >= KU+1;
   TYPE = 'Z', LDA >= 2*KL+KU+1.

💀 INFO 💀

INFO is INTEGER and the statuses are:

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 142 of file slascl.f.

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🧚 Author 🧚

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bye bestie 💖 — LAPACK Version 3.12.0, and this page lives at /home/abui...RC/slascl.f(3). periodt. 💅