SRC/zla_gercond_c.f(3)

💅 SRC/zla_gercond_c.f(3)

okay so bestie, this page is from the Library Functions Manual and it's all about one lil' LAPACK function. No cap, it's giving “math girlie with a clipboard” energy. ✨

📛 NAME

• SRC/zla_gercond_c.f — that's the file, periodt.

🌈 SYNOPSIS

✨ Functions/Subroutines

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

🌟 Function/Subroutine Documentation

double precision function zla_gercond_c (character trans, integer n,
    complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension(
    ldaf, * ) af, integer ldaf, integer, dimension( * ) ipiv, double
    precision, dimension( * ) c, logical capply, integer info, complex*16,
    dimension( * ) work, double precision, dimension( * ) rwork)

ZLA_GERCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for general matrices. iconic behavior, honestly. 🫶

💖 Purpose

bestie, the purpose is literally this: ZLA_GERCOND_C computes the infinity norm condition number of op(A) * inv(diag(C)) where C is a DOUBLE PRECISION vector. that's the whole vibe. 🎀

🎀 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*16 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*16 array, dimension (LDAF,N). The factors L and U from the factorization A = P*L*U as computed by ZGETRF.
• 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 ZGETRF; row i of the matrix was interchanged with row IPIV(i).
• C — C is DOUBLE PRECISION 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*16 array, dimension (2*N). Workspace.
• RWORK — RWORK is DOUBLE PRECISION array, dimension (N). Workspace.

👑 Author

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

Definition at line 140 of file zla_gercond_c.f.

🪄 Author

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xoxo, your girl 💅 — footer tea: LAPACK Version 3.12.0 SRC/zla_gercond_c.f(3). periodt.