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

💖 NAME 💖

Okay so bestie, welcome to the Library Functions Manual entry for /home/abui...con_rook.f(3). The name on this page is literally the full path, no cap:

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

It's giving LAPACK source-file realness. 🌸

✨ SYNOPSIS ✨

Functions/Subroutines

Here's the subroutine lineup:

       subroutine CSYCON_ROOK (uplo, n, a, lda, ipiv, anorm, rcond, work, info)
            CSYCON_ROOK

🫶 Function/Subroutine Documentation 🫶

This is the doc block for the subroutine, and yes, it's CSYCON_ROOK again:

   subroutine CSYCON_ROOK (character uplo, integer n, complex, dimension( lda,
       * ) a, integer lda, integer, dimension( * ) ipiv, real anorm, real
       rcond, complex, dimension( * ) work, integer info)
        CSYCON_ROOK

Purpose:

CSYCON_ROOK estimates the reciprocal of the condition number (in the 1-norm) of a complex symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CSYTRF_ROOK.

An estimate is obtained for norm(inv(A)), and the reciprocal of the condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).

Lowkey iconic. 💅

Parameters

• UPLO — UPLO is CHARACTER*1. It says whether the details of the factorization are stored as an upper or lower triangular matrix.
  • = 'U': Upper triangular, form is A = U*D*U**T;
  • = 'L': Lower triangular, form is A = L*D*L**T.
• N — N is INTEGER. The order of the matrix A. N >= 0.
• A — A is COMPLEX array, dimension (LDA,N). The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by CSYTRF_ROOK.
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N).
• IPIV — IPIV is INTEGER array, dimension (N). Details of the interchanges and the block structure of D as determined by CSYTRF_ROOK.
• ANORM — ANORM is REAL. The 1-norm of the original matrix A.
• RCOND — RCOND is REAL. The reciprocal of the condition number of the matrix A, computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an estimate of the 1-norm of inv(A) computed in this routine.
• WORK — WORK is COMPLEX array, dimension (2*N).
• INFO — INFO is INTEGER.
  • = 0: successful exit
  • < 0: if INFO = -i, the i-th argument had an illegal value

Author

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

Contributors:

• April 2012, Igor Kozachenko, Computer Science Division, University of California, Berkeley
• September 2007, Sven Hammarling, Nicholas J. Higham, Craig Lucas, School of Mathematics, University of Manchester

Definition at line 137 of file csycon_rook.f.

😭 Author 😭

The page-level author note says: Generated automatically by Doxygen for LAPACK from the source code.

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