/home/abui...N/claghe.f(3)

💖 CLAGHE 💖

Okay so this is the claghe.f page from the Library Functions Manual — header-path bestie is /home/abui...N/claghe.f(3). We are in LAPACK matrix-generation testing land, and this routine is about to make a complex hermitian matrix. It's giving A = U*D*U' energy, no cap. 💅

🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/MATGEN/claghe.f

✨ SYNOPSIS ✨

Functions/Subroutines

subroutine CLAGHE (n, k, d, a, lda, iseed, work, info)

CLAGHE — yes bestie, that's the whole vibe of the synopsis. 🦋

💫 Function/Subroutine Documentation 💫

subroutine CLAGHE (integer n, integer k, real, dimension( * ) d, complex,
       dimension( lda, * ) a, integer lda, integer, dimension( 4 ) iseed,
       complex, dimension( * ) work, integer info)
       CLAGHE

🎀 Purpose 🎀

CLAGHE generates a complex hermitian matrix A, by pre- and post-multiplying a real diagonal matrix D with a random unitary matrix:

A = U*D*U'

The semi-bandwidth may then be reduced to k by additional unitary transformations. Slay. 💖

🌈 Parameters 🌈

• N — N is INTEGER. The order of the matrix A. Constraint: N >= 0.
• K — K is INTEGER. The number of nonzero subdiagonals within the band of A. Constraint: 0 <= K <= N-1.
• D — D is REAL array, dimension (N). The diagonal elements of the diagonal matrix D.
• A — A is COMPLEX array, dimension (LDA,N). The generated n by n hermitian matrix A (the full matrix is stored).
• LDA — LDA is INTEGER. The leading dimension of the array A. Constraint: LDA >= N.
• ISEED — ISEED is INTEGER array, dimension (4). On entry, the seed of the random number generator; the array elements must be between 0 and 4095, and ISEED(4) must be odd. On exit, the seed is updated. 🎲
• WORK — WORK is COMPLEX array, dimension (2*N).
• INFO — INFO is INTEGER. = 0: successful exit. < 0: if INFO = -i, the i-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 claghe.f.

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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xoxo bestie, this page is from LAPACK Version 3.12.0, and the footer path is /home/abui...N/claghe.f(3). 💅✨