SRC/cla_gbrcond_c.f(3)

💖 NAME 💖

okay so this page is for SRC/cla_gbrcond_c.f, straight out of the Library Functions Manual, and it's giving “I know banded matrices and I'm not scared to say it” energy 💅

✨ SYNOPSIS ✨

🫶 Functions/Subroutines 🫶

real function cla_gbrcond_c (trans, n, kl, ku, ab, ldab, afb, ldafb,
    ipiv, c, capply, info, work, rwork)

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

🌸 Function/Subroutine Documentation 🌸

okay bestie, here's the whole signature in all its glory:

real function cla_gbrcond_c (character trans, integer n, integer kl, integer
    ku, complex, dimension( ldab, * ) ab, integer ldab, complex, dimension(
    ldafb, * ) afb, integer ldafb, integer, dimension( * ) ipiv, real,
    dimension( * ) c, logical capply, integer info, complex, dimension( * )
    work, real, dimension( * ) rwork)

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

🎀 Purpose 🎀

CLA_GBRCOND_C Computes the infinity norm condition number of op(A) * inv(diag(C)) where C is a REAL vector.

🧚 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.
• KL — KL is INTEGER. The number of subdiagonals within the band of A. KL >= 0.
• KU — KU is INTEGER. The number of superdiagonals within the band of A. KU >= 0.
• AB — AB is COMPLEX array, dimension (LDAB,N). On entry, the matrix A in band storage, in rows 1 to KL+KU+1. The j-th column of A is stored in the j-th column of the array AB as follows: AB(KU+1+i-j,j) = A(i,j) for max(1,j-KU)<=i<=min(N,j+kl)
• LDAB — LDAB is INTEGER. The leading dimension of the array AB. LDAB >= KL+KU+1.
• AFB — AFB is COMPLEX array, dimension (LDAFB,N). Details of the LU factorization of the band matrix A, as computed by CGBTRF. U is stored as an upper triangular band matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, and the multipliers used during the factorization are stored in rows KL+KU+2 to 2*KL+KU+1.
• LDAFB — LDAFB is INTEGER. The leading dimension of the array AFB. LDAFB >= 2*KL+KU+1.
• IPIV — IPIV is INTEGER array, dimension (N). The pivot indices from the factorization A = P*L*U as computed by CGBTRF; 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 158 of file cla_gbrcond_c.f.

💜 Author 💜

Generated automatically by Doxygen for LAPACK from the source code.

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okay that's the whole page, bestie 💅 — huge cute sign-off to LAPACK Version 3.12.0, source SRC/cla_gbrcond_c.f(3). The page doesn't list a date, so no invented date from me 🎀✨