SRC/zlauum.f(3)

πŸ’… NAME

SRC/zlauum.f β€” bestie, this page lives in the Library Functions Manual, and it's all about one very specific Fortran subroutine. πŸŽ€


✨ SYNOPSIS ✨

Functions/Subroutines 🌸

  • subroutine zlauum (uplo, n, a, lda, info) β€” ZLAUUM computes the product UUH or LHL, where U and L are upper or lower triangular matrices (blocked algorithm).
subroutine zlauum (uplo, n, a, lda, info)

πŸ”₯ Function/Subroutine Documentation πŸ”₯

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

ZLAUUM computes the product UUH or LHL, where U and L are upper or lower triangular matrices (blocked algorithm). πŸ’–

Purpose πŸ¦‹

Okay so ZLAUUM 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 blocked form of the algorithm, calling Level 3 BLAS. Periodt. πŸ’…

Parameters πŸŽ€

  • UPLO β€” UPLO is CHARACTER*1. Specifies whether the triangular factor stored in the array A is upper or lower triangular:
    • = 'U': Upper triangular
    • = 'L': Lower triangular
  • N β€” N is INTEGER. The order of the triangular factor U or L. N >= 0.
  • A β€” 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 β€” LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N).
  • INFO β€” 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 zlauum.f.

Author πŸ¦‹

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