/home/abui...RC/dsfrk.f(3)

💖 NAME 💖

Bestie, welcome to /home/abui...RC/dsfrk.f(3) — it's a page in the Library Functions Manual, and it lives at /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/dsfrk.f. The whole page is about DSFRK, which performs a symmetric rank-k operation for a matrix in RFP format. Periodt. 💅

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✨ SYNOPSIS ✨

Functions/Subroutines

• subroutine DSFRK (transr, uplo, trans, n, k, alpha, a, lda, beta, c) — DSFRK performs a symmetric rank-k operation for matrix in RFP format.

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🎀 Function/Subroutine Documentation 🎀

subroutine DSFRK (character transr, character uplo, character trans, integer
       n, integer k, double precision alpha, double precision, dimension( lda,
       * ) a, integer lda, double precision beta, double precision, dimension(
       * ) c)

DSFRK performs a symmetric rank-k operation for matrix in RFP format. Iconic. ✨

🌸 Purpose 🌸

The official purpose section is giving:

Level 3 BLAS like routine for C in RFP Format.

DSFRK performs one of the symmetric rank--k operations:

C := alpha*A*A**T + beta*C,

or

C := alpha*A**T*A + beta*C,

where alpha and beta are real scalars, C is an n--by--n symmetric matrix and A is an n--by--k matrix in the first case and a k--by--n matrix in the second case. Math bestie behavior. 🧮💜

💅 Parameters 💅

🦋 TRANSR 🦋

TRANSR is CHARACTER*1

• = 'N': The Normal Form of RFP A is stored;
• = 'T': The Transpose Form of RFP A is stored.

🌈 UPLO 🌈

UPLO is CHARACTER*1

On entry, UPLO specifies whether the upper or lower triangular part of the array C is to be referenced as follows:

• UPLO = 'U' or 'u' — Only the upper triangular part of C is to be referenced.
• UPLO = 'L' or 'l' — Only the lower triangular part of C is to be referenced.

Unchanged on exit. ✨

🍓 TRANS 🍓

TRANS is CHARACTER*1

On entry, TRANS specifies the operation to be performed as follows:

• TRANS = 'N' or 'n' — C := alpha*A*A**T + beta*C.
• TRANS = 'T' or 't' — C := alpha*A**T*A + beta*C.

Unchanged on exit. 💫

👑 N 👑

N is INTEGER

On entry, N specifies the order of the matrix C. N must be at least zero.

Unchanged on exit.

🎀 K 🎀

K is INTEGER

On entry with TRANS = 'N' or 'n', K specifies the number of columns of the matrix A, and on entry with TRANS = 'T' or 't', K specifies the number of rows of the matrix A. K must be at least zero.

Unchanged on exit.

🌟 ALPHA 🌟

ALPHA is DOUBLE PRECISION

On entry, ALPHA specifies the scalar alpha.

Unchanged on exit.

🧚 A 🧚

A is DOUBLE PRECISION array, dimension (LDA,ka)

where KA is K when TRANS = 'N' or 'n', and is N otherwise. Before entry with TRANS = 'N' or 'n', the leading N--by--K part of the array A must contain the matrix A, otherwise the leading K--by--N part of the array A must contain the matrix A.

Unchanged on exit. 🫶

💜 LDA 💜

LDA is INTEGER

On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. When TRANS = 'N' or 'n' then LDA must be at least max( 1, n ), otherwise LDA must be at least max( 1, k ).

Unchanged on exit.

🦋 BETA 🦋

BETA is DOUBLE PRECISION

On entry, BETA specifies the scalar beta.

Unchanged on exit.

🌸 C 🌸

C is DOUBLE PRECISION array, dimension (NT)

NT = N*(N+1)/2. On entry, the symmetric matrix C in RFP Format. RFP Format is described by TRANSR, UPLO and N. RFP lore secured. ✅

📜 Author 📜

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

Definition at line 164 of file dsfrk.f.

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🌟 Author 🌟

Generated automatically by Doxygen for LAPACK from the source code. Doxygen did its lil thing. 🛠️✨

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Footer check, bestie: the source/version sign-off is LAPACK Version 3.12.0, and the page path is /home/abui...RC/dsfrk.f(3). No separate date listed in the footer — just that version and path — so that's the whole cute sign-off. Mwah. 💋🎀