SRC/zpotf2.f(3)

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version 3.12.1 · 7 versions
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💖 NAME 💖

Okay bestie, this is the Library Functions Manual page for SRC/zpotf2.f(3) — the home of the zpotf2 subroutine. Slay. ✨

🌸 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). No cap. 🫶

💜 Purpose 💜

So ZPOTF2 computes the Cholesky factorization of a complex Hermitian positive definite matrix A. Iconic.

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. It 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. It’s the order of the matrix A. N >= 0. 💖
  • A — A is COMPLEX*16 array, dimension (LDA,N). On entry, it’s 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, it holds the factor U or L from the Cholesky factorization A = U**H *U or A = L*L**H. 🌸

  • LDA — LDA is INTEGER. It’s the leading dimension of the array A. LDA >= max(1,N). ⭐
  • INFO — INFO is INTEGER.
    • = 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 ⭐

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