SRC/clascl.f(3)

SRC/clascl.f(3) · Library Functions Manual · okay bestie, this is the whole iconic page, and yes, we’re keeping all the facts 💅✨

🌸 NAME 🌸

SRC/clascl.f

🦋 SYNOPSIS 🦋

Functions/Subroutines

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

CLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom.

💖 Function/Subroutine Documentation 💖

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

CLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom.

🌟 Purpose 🌟

okay so here’s the tea: CLASCL multiplies the M by N complex matrix A by the real scalar CTO/CFROM. It does this 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 — is CHARACTER*1. TYPE indices the storage type of the input matrix.
  • = '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 CGBTRF for storage details.
• KL — is INTEGER. The lower bandwidth of A. Referenced only if TYPE = 'B', 'Q' or 'Z'.
• KU — is INTEGER. The upper bandwidth of A. Referenced only if TYPE = 'B', 'Q' or 'Z'.
• CFROM — is REAL.
• 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 — is INTEGER. The number of rows of the matrix A. M >= 0.
• N — is INTEGER. The number of columns of the matrix A. N >= 0.
• A — is COMPLEX array, dimension (LDA,N). The matrix to be multiplied by CTO/CFROM. See TYPE for the storage type.
• 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 — is INTEGER.
  • 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 clascl.f.

🫶 Author 🫶

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