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

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💖 NAME 💖

The NAME is this absolute path, no cap:

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

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🌸 SYNOPSIS 🌸

✨ Functions/Subroutines ✨

       double precision function ZLA_GBRCOND_X (trans, n, kl, ku, ab, ldab,
           afb, ldafb, ipiv, x, info, work, rwork)

ZLA_GBRCOND_X computes the infinity norm condition number of op(A)*diag(x) for general banded matrices. periodt 🫶

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🦋 Function/Subroutine Documentation 🦋

   double precision function ZLA_GBRCOND_X (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, complex*16, dimension( * ) x, integer info,
       complex*16, dimension( * ) work, double precision, dimension( * ) rwork)

ZLA_GBRCOND_X computes the infinity norm condition number of op(A)*diag(x) for general banded matrices. iconic behavior, honestly 💅

🎀 Purpose 🎀

!>
!>    ZLA_GBRCOND_X Computes the infinity norm condition number of
!>    op(A) * diag(X) where X is a COMPLEX*16 vector.
!>

translation for the group chat: it computes the infinity norm condition number of op(A) * diag(X) where X is a COMPLEX*16 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.
• 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).
• X — X is COMPLEX*16 array, dimension (N). The vector X in the formula op(A) * diag(X).
• 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 152 of file zla_gbrcond_x.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 manual page, bestie 🫶 — LAPACK Version 3.12.0, page /home/abui...brcond_x.f(3), and that’s the wrap ✨💖