ZTRTRI(3)

💖 NAME 💖

Okay so bestie, this is ztrtri.f(3) from the Library Functions Manual — the main character file is literally:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/ztrtri.f

Slay. That's the whole NAME section. 🫶

🌸 SYNOPSIS 🌸

✨ Functions/Subroutines ✨

• subroutine ZTRTRI (uplo, diag, n, a, lda, info) — the one and only ZTRTRI, serving looks and computing inverse triangular matrices. No cap. 💅

🦋 Function/Subroutine Documentation 🦋

Here's the full signature, bestie — copy it exactly, don't @ me:

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

🦋 Purpose 🦋

So ZTRTRI computes the inverse of a complex upper or lower triangular matrix A. Periodt. It's literally the Level 3 BLAS version of the algorithm. 🔥

🎀 Parameters 🎀

💜 UPLO 💜

• UPLO is CHARACTER*1
  • = 'U': A is upper triangular;
  • = 'L': A is lower triangular.

🍓 DIAG 🍓

• DIAG is CHARACTER*1
  • = 'N': A is non-unit triangular;
  • = 'U': A is unit triangular.

🌈 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 matrix A. If UPLO = 'U', the leading N-by-N upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading N-by-N lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = 'U', the diagonal elements of A are also not referenced and are assumed to be 1.
• On exit, the (triangular) inverse of the original matrix, in the same storage format.

💀 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, A(i,i) is exactly zero. The triangular matrix is singular and its inverse can not be computed.

👑 Author 👑

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

📍 Definition at line 108 of file ztrtri.f. 📍

That's the exact line, bestie — 108, file ztrtri.f.

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

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Okayyy, cute sign-off time: this footer is brought to you by LAPACK, Version 3.12.0, and the path /home/abui...RC/ztrtri.f(3) — no date on this one, just version-number main character energy. 💅✨