BLAS/SRC/ctrmm.f(3)

✨ NAME ✨

BLAS/SRC/ctrmm.f(3) — hiii bestie 💖 welcome to the manual page for BLAS/SRC/ctrmm.f. This is the ctrmm BLAS situation, and yes, it’s giving main-character linear algebra energy. 🎀

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🌸 SYNOPSIS 🌸

🧩 Functions/Subroutines 🧩

• subroutine ctrmm (side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb) — CTRMM 👑

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🦋 Function/Subroutine Documentation 🦋

💅 subroutine ctrmm 💅

   subroutine ctrmm (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)

CTRMM 💖

🎯 Purpose 🎯

okay so listen: CTRMM performs one of the matrix-matrix operations 🔥

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

where alpha is a scalar, B is an m by n matrix, 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.

No cap, that’s the whole vibe. 🌈

🧚 Parameters 🧚

• SIDE — SIDE is CHARACTER*1. On entry, SIDE specifies whether op( A ) multiplies B from the left or right as follows:
  • SIDE = 'L' or 'l' → B := alpha*op( A )*B.
  • SIDE = 'R' or 'r' → B := alpha*B*op( A ).
• 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. 🙈✨
• A — A is COMPLEX array, dimension ( LDA, k ), where k is m when SIDE = 'L' or 'l' and 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 matrix B, and on exit is overwritten by the transformed matrix. 🔥
• 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 176 of file ctrmm.f. 📌

🌟 Author 🌟

Generated automatically by Doxygen for LAPACK from the source code. 🫶

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💖 That’s the whole page, bestie — LAPACK Version 3.12.0, BLAS/SRC/ctrmm.f(3). Stay iconic! 💖