CTRTI2(3)

📦 version 3.12.0, in opensuse-leap 16.0

🌸 NAME 🌸

Okay bestie, this is the ctrti2.f(3) page from the Library Functions Manual, and it's all about the file /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/ctrti2.f. Lowkey iconic LAPACK source energy. 💅

🦋 SYNOPSIS 🦋

🧚 Functions/Subroutines 🧚

subroutine CTRTI2 (uplo, diag, n, a, lda, info)

CTRTI2 computes the inverse of a triangular matrix (unblocked algorithm). No cap, that's the whole vibe. ✨

💅 Function/Subroutine Documentation 💅

subroutine CTRTI2 (character uplo, character diag, integer n, complex,
     dimension( lda, * ) a, integer lda, integer info)

CTRTI2 computes the inverse of a triangular matrix (unblocked algorithm).

🎀 Purpose 🎀

Okay so, CTRTI2 computes the inverse of a complex upper or lower triangular matrix.

This is the Level 2 BLAS version of the algorithm. Periodt. 🔥

🌈 Parameters 🌈

🌸 UPLO

UPLO is CHARACTER*1.

It says whether the matrix A is upper or lower triangular:

  • = 'U': upper triangular
  • = 'L': lower triangular

🦋 DIAG

DIAG is CHARACTER*1.

It says whether or not the matrix A is unit triangular:

  • = 'N': non-unit triangular
  • = 'U': unit triangular

🍓 N

N is INTEGER.

It's the order of the matrix A. And N >= 0, bestie. 🫶

💜 A

A is a COMPLEX array, dimension (LDA,N).

On entry, this is the triangular matrix A. Here's the tea:

  • 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, it holds the (triangular) inverse of the original matrix, in the same storage format. Slay. 💫

🎀 LDA

LDA is INTEGER.

It's the leading dimension of the array A, and LDA >= max(1,N). Respect the boundary, okay? 😌

⭐ INFO

INFO is INTEGER.

  • = 0: successful exit
  • < 0: if INFO = -k, the k-th argument had an illegal value

👑 Author 👑

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

Definition at line 109 of file ctrti2.f.

🌟 Author 🌟

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