lauu2(3)

📦
version 3.12.1 · 9 versions
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💖 NAME 💖

Hey bestie, welcome to lauu2(3) from the Library Functions Manual. This page is all about lauu2 — literally lauu2: triangular multiply: U^H U, level 2. She’s giving major LAPACK energy and she’s here to do triangular multiply things. ✨

✨ SYNOPSIS ✨

🫶 Functions 🫶

  • subroutine clauu2 (uplo, n, a, lda, info) — CLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm).
  • subroutine dlauu2 (uplo, n, a, lda, info) — DLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm).
  • subroutine slauu2 (uplo, n, a, lda, info) — SLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm).
  • subroutine zlauu2 (uplo, n, a, lda, info) — ZLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm).

🦋 Detailed Description 🦋

Okay so this heading is in the source, but there’s no extra prose under it — it’s just vibing before the function docs. We’re going straight to the good stuff. 💅

🔥 Function Documentation 🔥

💅 subroutine clauu2 💅

subroutine clauu2 (character uplo, integer n, complex, dimension( lda, * ) a, integer lda, integer info)

What she does: CLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm).

Purpose:

CLAUU2 computes the product U * U**H or L**H * L, where the triangular factor U or L is stored in the upper or lower triangular part of the array A.

If UPLO = 'U' or 'u' then the upper triangle of the result is stored, overwriting the factor U in A.

If UPLO = 'L' or 'l' then the lower triangle of the result is stored, overwriting the factor L in A.

This is the unblocked form of the algorithm, calling Level 2 BLAS.

🌸 Parameters 🌸

  • UPLO — UPLO is CHARACTER*1. Tells us whether the triangular factor stored in the array A is upper or lower triangular: = 'U': Upper triangular; = 'L': Lower triangular.
  • N — N is INTEGER. The order of the triangular factor U or L. N >= 0.
  • A — A is COMPLEX array, dimension (LDA,N). On entry, the triangular factor U or L. On exit, if UPLO = 'U', the upper triangle of A is overwritten with the upper triangle of the product U * U**H; if UPLO = 'L', the lower triangle of A is overwritten with the lower triangle of the product L**H * L.
  • 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 at line 101 of file clauu2.f.

💅 subroutine dlauu2 💅

subroutine dlauu2 (character uplo, integer n, double precision, dimension( lda, * ) a, integer lda, integer info)

What she does: DLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm).

Purpose:

DLAUU2 computes the product U * U**T or L**T * L, where the triangular factor U or L is stored in the upper or lower triangular part of the array A.

If UPLO = 'U' or 'u' then the upper triangle of the result is stored, overwriting the factor U in A.

If UPLO = 'L' or 'l' then the lower triangle of the result is stored, overwriting the factor L in A.

This is the unblocked form of the algorithm, calling Level 2 BLAS.

🌸 Parameters 🌸

  • UPLO — UPLO is CHARACTER*1. Tells us whether the triangular factor stored in the array A is upper or lower triangular: = 'U': Upper triangular; = 'L': Lower triangular.
  • N — N is INTEGER. The order of the triangular factor U or L. N >= 0.
  • A — A is DOUBLE PRECISION array, dimension (LDA,N). On entry, the triangular factor U or L. On exit, if UPLO = 'U', the upper triangle of A is overwritten with the upper triangle of the product U * U**T; if UPLO = 'L', the lower triangle of A is overwritten with the lower triangle of the product L**T * L.
  • 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 at line 101 of file dlauu2.f.

💅 subroutine slauu2 💅

subroutine slauu2 (character uplo, integer n, real, dimension( lda, * ) a, integer lda, integer info)

What she does: SLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm).

Purpose:

SLAUU2 computes the product U * U**T or L**T * L, where the triangular factor U or L is stored in the upper or lower triangular part of the array A.

If UPLO = 'U' or 'u' then the upper triangle of the result is stored, overwriting the factor U in A.

If UPLO = 'L' or 'l' then the lower triangle of the result is stored, overwriting the factor L in A.

This is the unblocked form of the algorithm, calling Level 2 BLAS.

🌸 Parameters 🌸

  • UPLO — UPLO is CHARACTER*1. Tells us whether the triangular factor stored in the array A is upper or lower triangular: = 'U': Upper triangular; = 'L': Lower triangular.
  • N — N is INTEGER. The order of the triangular factor U or L. N >= 0.
  • A — A is REAL array, dimension (LDA,N). On entry, the triangular factor U or L. On exit, if UPLO = 'U', the upper triangle of A is overwritten with the upper triangle of the product U * U**T; if UPLO = 'L', the lower triangle of A is overwritten with the lower triangle of the product L**T * L.
  • 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 at line 101 of file slauu2.f.

💅 subroutine zlauu2 💅

subroutine zlauu2 (character uplo, integer n, complex*16, dimension( lda, * ) a, integer lda, integer info)

What she does: ZLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm).

Purpose:

ZLAUU2 computes the product U * U**H or L**H * L, where the triangular factor U or L is stored in the upper or lower triangular part of the array A.

If UPLO = 'U' or 'u' then the upper triangle of the result is stored, overwriting the factor U in A.

If UPLO = 'L' or 'l' then the lower triangle of the result is stored, overwriting the factor L in A.

This is the unblocked form of the algorithm, calling Level 2 BLAS.

🌸 Parameters 🌸

  • UPLO — UPLO is CHARACTER*1. Tells us whether the triangular factor stored in the array A is upper or lower triangular: = 'U': Upper triangular; = 'L': Lower triangular.
  • N — N is INTEGER. The order of the triangular factor U or L. N >= 0.
  • A — A is COMPLEX*16 array, dimension (LDA,N). On entry, the triangular factor U or L. On exit, if UPLO = 'U', the upper triangle of A is overwritten with the upper triangle of the product U * U**H; if UPLO = 'L', the lower triangle of A is overwritten with the lower triangle of the product L**H * L.
  • 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 at line 101 of file zlauu2.f.

👑 Author 👑

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

Okay bye bestie! This whole glow-up is from LAPACK, Version 3.12.0, and the manual-page name is lauu2(3). Mwah. 💅

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