ZPOTF2(3)

🌸 zpotf2.f(3) — Library Functions Manual 🌸

hey bestie 💖 welcome to the zpotf2.f(3) page from the Library Functions Manual. We're doing unblocked Cholesky factorization today, and yes, it's giving main character energy. Stay with me, it's lowkey iconic.

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✨ NAME ✨

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zpotf2.f — that's the name, yes the entire path. She ate and left no crumbs.

🌈 SYNOPSIS 🌈

🧚 Functions/Subroutines 🧚

• subroutine ZPOTF2 (uplo, n, a, lda, info) — ZPOTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix (unblocked algorithm).

💅 Function/Subroutine Documentation 💅

subroutine ZPOTF2 (character uplo, integer n, complex*16, dimension( lda, * ) a, integer lda, integer info)

ZPOTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix (unblocked algorithm).

✨ Purpose ✨

Okay so the actual purpose is: ZPOTF2 computes the Cholesky factorization of a complex Hermitian positive definite matrix A. The factorization has the form:

A = U**H * U ,  if UPLO = 'U', or
A = L  * L**H,  if UPLO = 'L',

where U is an upper triangular matrix and L is lower triangular.

This is the unblocked version of the algorithm, calling Level 2 BLAS. Periodt. 💅

🎀 Parameters 🎀

• UPLO — UPLO is CHARACTER*1. She specifies whether the upper or lower triangular part of the Hermitian matrix A is stored.
  • = 'U': Upper triangular
  • = 'L': Lower triangular
• N — N is INTEGER. The order of the matrix A. N >= 0.
• A — A is COMPLEX*16 array, dimension (LDA,N). On entry, the Hermitian matrix A.
  • If UPLO = 'U', the leading n by n upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced.
  • If UPLO = 'L', the leading n by n lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced.
  • On exit, if INFO = 0, the factor U or L from the Cholesky factorization A = U**H *U or A = L*L**H.
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N).
• INFO — INFO is INTEGER. Here's the tea on the exit status:
  • = 0: successful exit
  • < 0: if INFO = -k, the k-th argument had an illegal value
  • > 0: if INFO = k, the leading principal minor of order k is not positive, and the factorization could not be completed.

🫶 Author 🫶

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

📍 Definition at line 108 of file zpotf2.f.

🫶 Author 🫶

Generated automatically by Doxygen for LAPACK from the source code.

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bye bestie 💖 the footer gives LAPACK Version 3.12.0 and the path /home/abui...RC/zpotf2.f(3). Slay responsibly. 🎀