trti2(3)

📦
version 3.12.1 · 9 versions
, in arch rolling

💖 trti2(3) — Library Functions Manual 💖

Okay bestie, welcome to the trti2(3) page — this is the Library Functions Manual vibe, and we're about to get into triangular inverses, Level 2 BLAS style. No cap, it's giving math but make it cute. 💅✨

🌸 NAME 🌸

trti2 — trti2: triangular inverse, level 2 🦋

✨ SYNOPSIS ✨

🫶 Functions 🫶

  • subroutine ctrti2 (uplo, diag, n, a, lda, info) — CTRTI2 computes the inverse of a triangular matrix (unblocked algorithm). 💖
  • subroutine dtrti2 (uplo, diag, n, a, lda, info) — DTRTI2 computes the inverse of a triangular matrix (unblocked algorithm). 💖
  • subroutine strti2 (uplo, diag, n, a, lda, info) — STRTI2 computes the inverse of a triangular matrix (unblocked algorithm). 💖
  • subroutine ztrti2 (uplo, diag, n, a, lda, info) — ZTRTI2 computes the inverse of a triangular matrix (unblocked algorithm). 💖

🦋 Detailed Description 🦋

The source page literally just drops this heading with no extra prose underneath — no cap. The real tea is all in the Function Documentation section right below. 💅

🌈 Function 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

CTRTI2 computes the inverse of a complex upper or lower triangular matrix. ✨

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

🧮 Parameters

  • UPLO — UPLO is CHARACTER*1. It specifies whether the matrix A is upper or lower triangular.
    • = 'U': Upper triangular
    • = 'L': Lower triangular
  • DIAG — DIAG is CHARACTER*1. It specifies whether or not the matrix A is unit triangular.
    • = 'N': Non-unit triangular
    • = 'U': Unit triangular
  • N — N is INTEGER. The order of the matrix A. N >= 0.
  • A — A is COMPLEX 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 = -k, the k-th argument had an illegal value

👑 Author

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

📍 Definition

Definition at line 109 of file ctrti2.f.

💅 subroutine dtrti2 (character uplo, character diag, integer n, double precision, dimension( lda, * ) a, integer lda, integer info) 💅

DTRTI2 computes the inverse of a triangular matrix (unblocked algorithm). 🎀

🎯 Purpose

DTRTI2 computes the inverse of a real upper or lower triangular matrix. ✨

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

🧮 Parameters

  • UPLO — UPLO is CHARACTER*1. It specifies whether the matrix A is upper or lower triangular.
    • = 'U': Upper triangular
    • = 'L': Lower triangular
  • DIAG — DIAG is CHARACTER*1. It specifies whether or not the matrix A is unit triangular.
    • = 'N': Non-unit triangular
    • = 'U': Unit triangular
  • 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 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 = -k, the k-th argument had an illegal value

👑 Author

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

📍 Definition

Definition at line 109 of file dtrti2.f.

💅 subroutine strti2 (character uplo, character diag, integer n, real, dimension( lda, * ) a, integer lda, integer info) 💅

STRTI2 computes the inverse of a triangular matrix (unblocked algorithm). 🎀

🎯 Purpose

STRTI2 computes the inverse of a real upper or lower triangular matrix. ✨

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

🧮 Parameters

  • UPLO — UPLO is CHARACTER*1. It specifies whether the matrix A is upper or lower triangular.
    • = 'U': Upper triangular
    • = 'L': Lower triangular
  • DIAG — DIAG is CHARACTER*1. It specifies whether or not the matrix A is unit triangular.
    • = 'N': Non-unit triangular
    • = 'U': Unit triangular
  • N — N is INTEGER. The order of the matrix A. N >= 0.
  • A — A is REAL 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 = -k, the k-th argument had an illegal value

👑 Author

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

📍 Definition

Definition at line 109 of file strti2.f.

💅 subroutine ztrti2 (character uplo, character diag, integer n, complex*16, dimension( lda, * ) a, integer lda, integer info) 💅

ZTRTI2 computes the inverse of a triangular matrix (unblocked algorithm). 🎀

🎯 Purpose

ZTRTI2 computes the inverse of a complex upper or lower triangular matrix. ✨

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

🧮 Parameters

  • UPLO — UPLO is CHARACTER*1. It specifies whether the matrix A is upper or lower triangular.
    • = 'U': Upper triangular
    • = 'L': Lower triangular
  • DIAG — DIAG is CHARACTER*1. It specifies whether or not the matrix A is unit triangular.
    • = 'N': Non-unit triangular
    • = 'U': 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 = -k, the k-th argument had an illegal value

👑 Author

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

📍 Definition

Definition at line 109 of file ztrti2.f.

👑 Author 👑

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

That's the whole page, bestie: LAPACK, Version 3.12.0, trti2(3). Stay triangular, stay iconic. 💖✨🍓

📦 where this page comes from