SRC/cla_gercond_c.f(3)

💖 SRC/cla_gercond_c.f(3) 💖

okay bestie, this is the SRC/cla_gercond_c.f page from the Library Functions Manual, and she is literally here to compute a condition number. No cap. 💅

bestie, every parameter, dimension, and caveat is down there — we are not skipping anything, periodt.

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🌸 NAME 🌸

• SRC/cla_gercond_c.f

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✨ SYNOPSIS ✨

🧚 Functions/Subroutines

• real function cla_gercond_c (trans, n, a, lda, af, ldaf, ipiv, c, capply, info, work, rwork) — CLA_GERCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for general matrices.

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📚 Function/Subroutine Documentation 📚

🧮 Signature

real function cla_gercond_c (character trans, integer n, complex, dimension(
      lda, * ) a, integer lda, complex, dimension( ldaf, * ) af, integer ldaf,
      integer, dimension( * ) ipiv, real, dimension( * ) c, logical capply,
      integer info, complex, dimension( * ) work, real, dimension( * ) rwork)

CLA_GERCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for general matrices.

🎯 Purpose

CLA_GERCOND_C computes the infinity norm condition number of op(A) * inv(diag(C)) where C is a REAL vector. slay. ✨

🧸 Parameters

• TRANS — TRANS is CHARACTER*1. Specifies the form of the system of equations:
  • = 'N': A * X = B (No transpose)
  • = 'T': A**T * X = B (Transpose)
  • = 'C': A**H * X = B (Conjugate Transpose = Transpose)
• N — N is INTEGER. The number of linear equations, i.e., the order of the matrix A. N >= 0.
• A — A is COMPLEX array, dimension (LDA,N). On entry, the N-by-N matrix A.
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N).
• AF — AF is COMPLEX array, dimension (LDAF,N). The factors L and U from the factorization A = P*L*U as computed by CGETRF.
• LDAF — LDAF is INTEGER. The leading dimension of the array AF. LDAF >= max(1,N).
• IPIV — IPIV is INTEGER array, dimension (N). The pivot indices from the factorization A = P*L*U as computed by CGETRF; row i of the matrix was interchanged with row IPIV(i).
• C — C is REAL array, dimension (N). The vector C in the formula op(A) * inv(diag(C)).
• CAPPLY — CAPPLY is LOGICAL. If .TRUE. then access the vector C in the formula above.
• INFO — INFO is INTEGER
  • = 0: Successful exit.
  • i > 0: The ith argument is invalid.
• WORK — WORK is COMPLEX array, dimension (2*N). Workspace.
• RWORK — RWORK is REAL array, dimension (N). Workspace.

👑 Author

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

Definition at line 140 of file cla_gercond_c.f.

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🤖 Author

Generated automatically by Doxygen for LAPACK from the source code.

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okay that’s the whole page, bestie! Signing off with LAPACK, Version 3.12.0, page SRC/cla_gercond_c.f(3) 💜✨