potri(3)

✨ potri(3) — Library Functions Manual ✨

okay bestie, welcome to potri(3) from the Library Functions Manual 💅 this is the whole triangular inverse situation, and it's lowkey iconic. We're gonna go through every subroutine, every parameter, and every little INFO vibe. No cap, nothing skipped. 🫶

🌸 NAME 🌸

potri — potri: triangular inverse ✨

🦋 SYNOPSIS 🦋

Functions — here's the menu, bestie: four flavors, same energy:

• subroutine cpotri (uplo, n, a, lda, info) — CPOTRI
• subroutine dpotri (uplo, n, a, lda, info) — DPOTRI
• subroutine spotri (uplo, n, a, lda, info) — SPOTRI
• subroutine zpotri (uplo, n, a, lda, info) — ZPOTRI

💖 DETAILED DESCRIPTION 💖

This is the detailed description zone — no extra lore here, just the full function documentation below. Periodt. 🎀

🎀 FUNCTION DOCUMENTATION 🎀

💅 cpotri — aka CPOTRI

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

✨ Purpose

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. Slay. 💖

🧚 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 array, dimension (LDA,N). On entry, 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, overwriting the input factor U or L. 💜
• LDA — LDA is INTEGER; the leading dimension of the array A. LDA >= max(1,N). 🌸
• INFO — INFO is INTEGER; here's the status tea:
  • = 0: successful exit 👑
  • < 0: if INFO = -i, the i-th argument had an illegal value 🙈
  • > 0: if INFO = i, the (i,i) element of the factor U or L is zero, and the inverse could not be computed. 💀

👑 Author

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

Definition at line 94 of file cpotri.f. 🎀

💅 dpotri — aka DPOTRI

subroutine dpotri (character uplo, integer n, double precision, dimension( lda, * ) a, integer lda, integer info)
DPOTRI

✨ Purpose

DPOTRI computes the inverse of a real symmetric positive definite matrix A using the Cholesky factorization A = U**T*U or A = L*L**T computed by DPOTRF. Iconic. 🔥

🧚 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 DOUBLE PRECISION array, dimension (LDA,N). On entry, the triangular factor U or L from the Cholesky factorization A = U**T*U or A = L*L**T, as computed by DPOTRF. On exit, the upper or lower triangle of the (symmetric) inverse of A, overwriting the input factor U or L. 💜
• LDA — LDA is INTEGER; the leading dimension of the array A. LDA >= max(1,N). 🌸
• INFO — INFO is INTEGER; here's the status tea:
  • = 0: successful exit 👑
  • < 0: if INFO = -i, the i-th argument had an illegal value 🙈
  • > 0: if INFO = i, the (i,i) element of the factor U or L is zero, and the inverse could not be computed. 💀

👑 Author

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

Definition at line 94 of file dpotri.f. 🎀

💅 spotri — aka SPOTRI

subroutine spotri (character uplo, integer n, real, dimension( lda, * ) a, integer lda, integer info)
SPOTRI

✨ Purpose

SPOTRI computes the inverse of a real symmetric positive definite matrix A using the Cholesky factorization A = U**T*U or A = L*L**T computed by SPOTRF. Ate. 💖

🧚 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 REAL array, dimension (LDA,N). On entry, the triangular factor U or L from the Cholesky factorization A = U**T*U or A = L*L**T, as computed by SPOTRF. On exit, the upper or lower triangle of the (symmetric) inverse of A, overwriting the input factor U or L. 💜
• LDA — LDA is INTEGER; the leading dimension of the array A. LDA >= max(1,N). 🌸
• INFO — INFO is INTEGER; here's the status tea:
  • = 0: successful exit 👑
  • < 0: if INFO = -i, the i-th argument had an illegal value 🙈
  • > 0: if INFO = i, the (i,i) element of the factor U or L is zero, and the inverse could not be computed. 💀

👑 Author

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

Definition at line 94 of file spotri.f. 🎀

💅 zpotri — aka ZPOTRI

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

✨ Purpose

ZPOTRI 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 ZPOTRF. Main character energy fr fr. 🌈

🧚 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 triangular factor U or L from the Cholesky factorization A = U**H*U or A = L*L**H, as computed by ZPOTRF. On exit, the upper or lower triangle of the (Hermitian) inverse of A, overwriting the input factor U or L. 💜
• LDA — LDA is INTEGER; the leading dimension of the array A. LDA >= max(1,N). 🌸
• INFO — INFO is INTEGER; here's the status tea:
  • = 0: successful exit 👑
  • < 0: if INFO = -i, the i-th argument had an illegal value 🙈
  • > 0: if INFO = i, the (i,i) element of the factor U or L is zero, and the inverse could not be computed. 💀

👑 Author

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

Definition at line 94 of file zpotri.f. 🎀

👑 AUTHOR 👑

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

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okay that's the whole page, bestie — LAPACK Version 3.12.0 and potri(3), signing off with all the sparkle. 💖✨🎀🦋🌸💅🫶