SRC/csytri_rook.f(3)

🌸 NAME 🌸

SRC/csytri_rook.f — okay bestie, this page lives in the Library Functions Manual, and it's all about CSYTRI_ROOK. 💖

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✨ SYNOPSIS ✨

Functions/Subroutines

       subroutine csytri_rook (uplo, n, a, lda, ipiv, work, info)
           CSYTRI_ROOK

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💅 Function/Subroutine Documentation 💅

   subroutine csytri_rook (character uplo, integer n, complex, dimension( lda,
       * ) a, integer lda, integer, dimension( * ) ipiv, complex, dimension( *
       ) work, integer info)
       CSYTRI_ROOK

🎯 Purpose: 🎯

CSYTRI_ROOK computes the inverse of a complex symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CSYTRF_ROOK. That's the whole mission, and it ate. 🔥

🧚 Parameters 🧚

• UPLO — is CHARACTER*1. Specifies 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 — is INTEGER. The order of the matrix A. N >= 0.
• A — is COMPLEX array, dimension (LDA,N).
  • On entry, the block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by CSYTRF_ROOK.
  • On exit, if INFO = 0, the (symmetric) inverse of the original matrix. If UPLO = 'U', the upper triangular part of the inverse is formed and the part of A below the diagonal is not referenced; if UPLO = 'L', the lower triangular part of the inverse is formed and the part of A above the diagonal is not referenced.
• LDA — is INTEGER. The leading dimension of the array A. LDA >= max(1,N).
• IPIV — is INTEGER array, dimension (N). Details of the interchanges and the block structure of D as determined by CSYTRF_ROOK.
• WORK — is COMPLEX array, dimension (N). That's it, no extra lore, bestie. 🫶
• INFO — is INTEGER.
  • = 0: successful exit
  • < 0: if INFO = -i, the i-th argument had an illegal value
  • > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its inverse could not be computed.

👑 Author 👑

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

🫶 Contributors: 🫶

• December 2016, 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 128 of file csytri_rook.f 📍

Definition at line 128 of file csytri_rook.f. Easy. ✨

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🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code. 💻✨

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That's the whole page, bestie: LAPACK, Version 3.12.0, SRC/csytri_rook.f(3). Now go forth and invert, you icon. 💅🦋