/home/abui...brcond_c.f(3)

💅 NAME

okay so bestie, this is the Library Functions Manual page for /home/abui...brcond_c.f(3) — and the name it’s filed under is this full source path:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zla_gbrcond_c.f

---

✨ SYNOPSIS

🎀 Functions/Subroutines

double precision function ZLA_GBRCOND_C (trans, n, kl, ku, ab, ldab,
    afb, ldafb, ipiv, c, capply, info, work, rwork)
    ZLA_GBRCOND_C computes the infinity norm condition number of
    op(A)*inv(diag(c)) for general banded matrices.

This one is the group-chat summary: ZLA_GBRCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for general banded matrices. 💅

🫶 Function/Subroutine Documentation

double precision function ZLA_GBRCOND_C (character trans, integer n, integer
    kl, integer ku, complex*16, dimension( ldab, * ) ab, integer ldab,
    complex*16, dimension( ldafb, * ) afb, integer ldafb, integer,
    dimension( * ) ipiv, double precision, dimension( * ) c, logical capply,
    integer info, complex*16, dimension( * ) work, double precision,
    dimension( * ) rwork)
    ZLA_GBRCOND_C computes the infinity norm condition number of
    op(A)*inv(diag(c)) for general banded matrices.

bestie, that’s the full signature — no cap, every argument is right there and I’m not touching a single character of it. 🫶

🎯 Purpose

ZLA_GBRCOND_C computes the infinity norm condition number of op(A) * inv(diag(C)) where C is a DOUBLE PRECISION vector. That’s the whole purpose, and it ate. ✨

🧸 Parameters

• TRANS — TRANS is CHARACTER*1. It 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*16 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*16 array, dimension (LDAFB,N). Details of the LU factorization of the band matrix A, as computed by ZGBTRF. 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 ZGBTRF; 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 159 of file zla_gbrcond_c.f.

👑 Author

Generated automatically by Doxygen for LAPACK from the source code.

---

kisses bestie 💖 this page is from LAPACK Version 3.12.0, and the footer path is /home/abui...brcond_c.f(3). periodt. 🎀