BLAS/SRC/ctrsm.f(3)

📦
version 3.12.0 · 7 versions
, in centos-stream 10, fedora 43, fedora 44

💖 BLAS/SRC/ctrsm.f — bestie edition 💖

okay so. this is the page for BLAS/SRC/ctrsm.f, and it's a lot, but we're gonna get through it together because honestly? it's giving iconic linear algebra. no cap.

✨ SYNOPSIS ✨

Functions/Subroutines

  • subroutine ctrsm (side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb)
    • CTRSM

🫶 Function/Subroutine Documentation 🫶

subroutine ctrsm (character side, character uplo, character transa, character diag, integer m, integer n, complex alpha, complex, dimension(lda,*) a, integer lda, complex, dimension(ldb,*) b, integer ldb)

CTRSM

🎀 Purpose 🎀

CTRSM solves one of the matrix equations

op( A )*X = alpha*B,   or   X*op( A ) = alpha*B,

where alpha is a scalar, X and B are m by n matrices, A is a unit, or non-unit, upper or lower triangular matrix and op( A ) is one of

op( A ) = A   or   op( A ) = A**T   or   op( A ) = A**H.

The matrix X is overwritten on B. that's the whole vibe. 💅

🌸 Parameters 🌸

  • SIDE
    • SIDE is CHARACTER*1
    • On entry, SIDE specifies whether op( A ) appears on the left or right of X as follows:
      • SIDE = 'L' or 'l' — op( A )*X = alpha*B.
      • SIDE = 'R' or 'r' — X*op( A ) = alpha*B.
  • UPLO
    • UPLO is CHARACTER*1
    • On entry, UPLO specifies whether the matrix A is an upper or lower triangular matrix as follows:
      • UPLO = 'U' or 'u' — A is an upper triangular matrix.
      • UPLO = 'L' or 'l' — A is a lower triangular matrix.
  • TRANSA
    • TRANSA is CHARACTER*1
    • On entry, TRANSA specifies the form of op( A ) to be used in the matrix multiplication as follows:
      • TRANSA = 'N' or 'n' — op( A ) = A.
      • TRANSA = 'T' or 't' — op( A ) = A**T.
      • TRANSA = 'C' or 'c' — op( A ) = A**H.
  • DIAG
    • DIAG is CHARACTER*1
    • On entry, DIAG specifies whether or not A is unit triangular as follows:
      • DIAG = 'U' or 'u' — A is assumed to be unit triangular.
      • DIAG = 'N' or 'n' — A is not assumed to be unit triangular.
  • M
    • M is INTEGER
    • On entry, M specifies the number of rows of B. M must be at least zero.
  • N
    • N is INTEGER
    • On entry, N specifies the number of columns of B. N must be at least zero.
  • ALPHA
    • ALPHA is COMPLEX
    • On entry, ALPHA specifies the scalar alpha. When alpha is zero then A is not referenced and B need not be set before entry. (slay, free real estate ✨)
  • A
    • A is COMPLEX array, dimension ( LDA, k ), where k is m when SIDE = 'L' or 'l' and k is n when SIDE = 'R' or 'r'.
    • Before entry with UPLO = 'U' or 'u', the leading k by k upper triangular part of the array A must contain the upper triangular matrix and the strictly lower triangular part of A is not referenced.
    • Before entry with UPLO = 'L' or 'l', the leading k by k lower triangular part of the array A must contain the lower triangular matrix and the strictly upper triangular part of A is not referenced.
    • Note that when DIAG = 'U' or 'u', the diagonal elements of A are not referenced either, but are assumed to be unity.
  • LDA
    • LDA is INTEGER
    • On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. When SIDE = 'L' or 'l' then LDA must be at least max( 1, m ), when SIDE = 'R' or 'r' then LDA must be at least max( 1, n ).
  • B
    • B is COMPLEX array, dimension ( LDB, N )
    • Before entry, the leading m by n part of the array B must contain the right-hand side matrix B, and on exit is overwritten by the solution matrix X.
  • LDB
    • LDB is INTEGER
    • On entry, LDB specifies the first dimension of B as declared in the calling (sub) program. LDB must be at least max( 1, m ).

👑 Author 👑

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

🦋 Further Details 🦋

Level 3 Blas routine.

-- Written on 8-February-1989.
   Jack Dongarra, Argonne National Laboratory.
   Iain Duff, AERE Harwell.
   Jeremy Du Croz, Numerical Algorithms Group Ltd.
   Sven Hammarling, Numerical Algorithms Group Ltd.

Definition at line 179 of file ctrsm.f.

💜 Author 💜

Generated automatically by Doxygen for LAPACK from the source code.

and that's the whole page, bestie!! 🌈 this was Version 3.12.0, dated Tue Nov 28 2023 12:08:41, and it lives in BLAS/SRC/ctrsm.f(3). mwah 💋 go solve a triangular system, you got this 🫶✨

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