SRC/cpotri.f(3)

Hey bestie! Welcome to the manual page for SRC/cpotri.f — it's part of the Library Functions Manual, and it's all about the CPOTRI subroutine. Let's get into the lore 💅✨

💖 NAME 💖

SRC/cpotri.f

🎀 SYNOPSIS 🎀

✨ Functions/Subroutines ✨

subroutine cpotri (uplo, n, a, lda, info)
    CPOTRI

🧚 Function/Subroutine Documentation 🧚

subroutine cpotri (character uplo, integer n, complex, dimension( lda, * )
    a, integer lda, integer info)
    CPOTRI

🌟 Purpose 🌟

Okay so CPOTRI computes the inverse of a complex Hermitian positive definite matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by CPOTRF. That's the whole main character energy of this routine. 💖

🎀 Parameters 🎀

🌸 UPLO 🌸

UPLO is CHARACTER*1. It's the "which triangle are we storing" flag: = 'U': Upper triangle of A is stored; = 'L': Lower triangle of A is stored. Slay. 💅

🌸 N 🌸

N is INTEGER. It's the order of the matrix A. The vibe check here is N >= 0.

🌸 A 🌸

A is a COMPLEX array, dimension (LDA,N). On entry, it's the triangular factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H, as computed by CPOTRF. On exit, the upper or lower triangle of the (Hermitian) inverse of A gets written here, overwriting the input factor U or L. So bestie, it's giving glow-up but make it linear algebra. ✨

🌸 LDA 🌸

LDA is INTEGER. It's the leading dimension of the array A. The rule is LDA >= max(1,N).

🌸 INFO 🌸

INFO is INTEGER. It's the status report:

• = 0: successful exit. We love a clean run. 🎉
• < 0: if INFO = -i, the i-th argument had an illegal value. Not cute. 😭
• > 0: if INFO = i, the (i,i) element of the factor U or L is zero, and the inverse could not be computed.

Heads up, bestie: if INFO > 0, the inverse could not be computed. That's a real vibe check fail, no cap. 🫶

👑 Author 👑

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

📍 Definition at line 94 of file cpotri.f 📍

Definition at line 94 of file cpotri.f.

🦋 Author 🦋

Generated automatically by Doxygen for LAPACK from the source code.

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That's the whole lore, bestie! This page is from LAPACK Version 3.12.0, file SRC/cpotri.f(3) — and yeah, it was generated automatically by Doxygen for LAPACK from the source code. Go off and invert those Hermitian positive definite matrices 💅✨