cpotrf.f(3)

💖 cpotrf.f(3) — LAPACK bestie edition 💖

okay bestie, you clicked into cpotrf.f(3) from LAPACK, and we are about to make this Cholesky factorization page make sense. no cap, the vibes are very “top-looking block version” today. 💅

---

✨ NAME ✨

cpotrf.f — that’s the name, periodt. 🎀

---

🌸 SYNOPSIS 🌸

Functions/Subroutines

       subroutine cpotrf (UPLO, N, A, LDA, INFO)
           CPOTRF VARIANT: top-looking block version of the algorithm, calling
           Level 3 BLAS.

---

🎀 Function/Subroutine Documentation 🎀

💅 subroutine cpotrf 💅

   subroutine cpotrf (character UPLO, integer N, complex, dimension( lda, * )
       A, integer LDA, integer INFO)

CPOTRF VARIANT: top-looking block version of the algorithm, calling Level 3 BLAS.

🌟 Purpose 🌟

CPOTRF computes the Cholesky factorization of a real symmetric positive definite matrix A. slay. ✨

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 top-looking block version of the algorithm, calling Level 3 BLAS. 🫶

🌸 Parameters: 🌸

• UPLO — is CHARACTER*1
  • = 'U': Upper triangle of A is stored;
  • = 'L': Lower triangle of A is stored.
• N — is INTEGER The order of the matrix A. N >= 0.
• A — is COMPLEX array, dimension (LDA,N)
  • On entry, the symmetric 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 — is INTEGER The leading dimension of the array A. LDA >= max(1,N).
• INFO — is INTEGER
  • = 0: successful exit
  • < 0: if INFO = -i, the i-th argument had an illegal value
  • > 0: if INFO = i, the leading minor of order i is not positive definite, and the factorization could not be completed.

👑 Author: 👑

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

📅 Date: 📅

December 2016

📍 Definition at line: 📍

Definition at line 102 of file VARIANTS/cholesky/TOP/cpotrf.f.

---

Author

Generated automatically by Doxygen for LAPACK from the source code.

---

xoxo, your LAPACK bestie 💖 — this iconic page is Version 3.8.0, dated Tue Nov 14 2017, and the file is cpotrf.f(3). bye bestie, go slay those matrices! 🎀✨