SRC/zpotrf.f(3)

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version 3.12.1 · 4 versions
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okay so bestie, welcome to SRC/zpotrf.f(3) from the Library Functions Manual — this is the zpotrf page and it's lowkey giving main-character numerical linear algebra energy 💅✨

💖 NAME 💖

SRC/zpotrf.f — the file/page for the zpotrf subroutine. That's the name, bestie 🫶

🌸 SYNOPSIS 🌸

🧚 Functions/Subroutines 🧚

subroutine zpotrf (uplo, n, a, lda, info)
    ZPOTRF

🦋 Function/Subroutine Documentation 🦋

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

ZPOTRF

✨ Purpose ✨

okay so ZPOTRF computes the Cholesky factorization of a complex Hermitian positive definite matrix A. No cap, that's the whole vibe 🔥

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. Slay 💅

This is the block version of the algorithm, calling Level 3 BLAS. Periodt.

🌀 Parameters 🌀

  • UPLO
    • UPLO is CHARACTER*1
    • = 'U': Upper triangle of A is stored;
    • = 'L': Lower triangle of A is stored.
  • 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
    • = 0: successful exit
    • < 0: if INFO = -i, the i-th argument had an illegal value
    • > 0: if INFO = i, the leading principal minor of order i 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 106 of file zpotrf.f.

📝 Author 📝

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signing off with the footer vibes, bestie: LAPACK — Version 3.12.0 — page SRC/zpotrf.f(3) 💋🎀

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