TESTING/EIG/zsgt01.f(3)

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version 3.12.1 · 2 versions
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💖 NAME 💖

TESTING/EIG/zsgt01.f — that's literally the whole name, bestie. This page comes from the Library Functions Manual, and it's serving LAPACK testing-subroutine realness with zsgt01. 💅

✨ SYNOPSIS ✨

Functions/Subroutines

  • subroutine zsgt01 — the function, with all its args right here:
subroutine zsgt01 (itype, uplo, n, m, a, lda, b, ldb, z, ldz, d, work,
    rwork, result)

ZSGT01

🦋 Function/Subroutine Documentation 🦋

subroutine zsgt01

subroutine zsgt01 (integer itype, character uplo, integer n, integer m,
    complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension(
    ldb, * ) b, integer ldb, complex*16, dimension( ldz, * ) z, integer ldz,
    double precision, dimension( * ) d, complex*16, dimension( * ) work,
    double precision, dimension( * ) rwork, double precision, dimension( * )
    result)

ZSGT01

🌸 Purpose 🌸

okay so, CDGT01 checks a decomposition of the form

A Z   =  B Z D or
A B Z =  Z D or
B A Z =  Z D

where A is a Hermitian matrix, B is Hermitian positive definite, Z is unitary, and D is diagonal.

One of the following test ratios is computed:

  • ITYPE = 1: RESULT(1) = | A Z - B Z D | / ( |A| |Z| n ulp )
  • ITYPE = 2: RESULT(1) = | A B Z - Z D | / ( |A| |Z| n ulp )
  • ITYPE = 3: RESULT(1) = | B A Z - Z D | / ( |A| |Z| n ulp )

🎀 Parameters 🎀

ITYPE

ITYPE is INTEGER. The form of the Hermitian generalized eigenproblem.

  • = 1: A*z = (lambda)*B*z
  • = 2: A*B*z = (lambda)*z
  • = 3: B*A*z = (lambda)*z

UPLO

UPLO is CHARACTER*1. Specifies whether the upper or lower triangular part of the Hermitian matrices A and B is stored.

  • = 'U': Upper triangular
  • = 'L': Lower triangular

N

N is INTEGER. The order of the matrix A. N >= 0.

M

M is INTEGER. The number of eigenvalues found. M >= 0.

A

A is COMPLEX*16 array, dimension (LDA, N). The original Hermitian matrix A.

LDA

LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N).

B

B is COMPLEX*16 array, dimension (LDB, N). The original Hermitian positive definite matrix B.

LDB

LDB is INTEGER. The leading dimension of the array B. LDB >= max(1,N).

Z

Z is COMPLEX*16 array, dimension (LDZ, M). The computed eigenvectors of the generalized eigenproblem.

LDZ

LDZ is INTEGER. The leading dimension of the array Z. LDZ >= max(1,N).

D

D is DOUBLE PRECISION array, dimension (M). The computed eigenvalues of the generalized eigenproblem.

WORK

WORK is COMPLEX*16 array, dimension (N*N).

RWORK

RWORK is DOUBLE PRECISION array, dimension (N).

RESULT

RESULT is DOUBLE PRECISION array, dimension (1). The test ratio as described above.

👑 Author 👑

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

Definition at line 150 of file zsgt01.f.

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

💖 that's the whole page, bestie — from the LAPACK Version 3.12.0 footer and the TESTING/EIG/zsgt01.f(3) manual page. byeee! 🫶

📦 where this page comes from