TESTING/LIN/zqrt15.f(3)

🎀 NAME 🎀

TESTING/LIN/zqrt15.f — hey bestie, welcome to the TESTING/LIN/zqrt15.f(3) page 💖 it's a Library Functions Manual entry, and the manual name is literally right there. This whole page is about the zqrt15 routine. It's giving "test-matrix generator" energy, and we're gonna walk through every parameter, no cap. 💅

✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

       subroutine zqrt15 (scale, rksel, m, n, nrhs, a, lda, b, ldb, s, rank,
           norma, normb, iseed, work, lwork)
           ZQRT15

💖 Function/Subroutine Documentation 💖

Here's the full signature, exactly as the page gives it:

   subroutine zqrt15 (integer scale, integer rksel, integer m, integer n,
       integer nrhs, complex*16, dimension( lda, * ) a, integer lda,
       complex*16, dimension( ldb, * ) b, integer ldb, double precision,
       dimension( * ) s, integer rank, double precision norma, double precision
       normb, integer, dimension( 4 ) iseed, complex*16, dimension( lwork )
       work, integer lwork)
       ZQRT15

ZQRT15 is the routine name, and it's the main character here. 👑

🌟 Purpose 🌟

ZQRT15 generates a matrix with full or deficient rank and of various norms. That's it. That's the whole purpose. Slay. ✨

🎀 Parameters 🎀

• SCALE — SCALE is INTEGER. SCALE = 1: normally scaled matrix. SCALE = 2: matrix scaled up. SCALE = 3: matrix scaled down. Pick your scaling vibe. 💅
• RKSEL — RKSEL is INTEGER. RKSEL = 1: full rank matrix. RKSEL = 2: rank-deficient matrix.
• M — M is INTEGER. The number of rows of the matrix A. Rows, bestie. 📏
• N — N is INTEGER. The number of columns of A. Columns. Obsessed with dimensions. 🎀
• NRHS — NRHS is INTEGER. The number of columns of B.
• A — A is COMPLEX*16 array, dimension (LDA,N). The M-by-N matrix A.
• LDA — LDA is INTEGER. The leading dimension of the array A.
• B — B is COMPLEX*16 array, dimension (LDB, NRHS). A matrix that is in the range space of matrix A.
• LDB — LDB is INTEGER. The leading dimension of the array B.
• S — S is DOUBLE PRECISION array, dimension MIN(M,N). Singular values of A.
• RANK — RANK is INTEGER. number of nonzero singular values of A.
• NORMA — NORMA is DOUBLE PRECISION. one-norm norm of A.
• NORMB — NORMB is DOUBLE PRECISION. one-norm norm of B.
• ISEED — ISEED is integer array, dimension (4). seed for random number generator.
• WORK — WORK is COMPLEX*16 array, dimension (LWORK). That's the work array, periodt. 🫶
• LWORK — LWORK is INTEGER. length of work space required. LWORK >= MAX(M+MIN(M,N),NRHS*MIN(M,N),2*N+M).

👑 Author 👑

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

📌 Definition at line 147 📌

Definition at line 147 of file zqrt15.f.

💌 Author 💌

Generated automatically by Doxygen for LAPACK from the source code.

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💖 Cute sign-off, bestie: source/version is LAPACK Version 3.12.0, the manual page is TESTING/LIN/zqrt15.f(3), and there's no date listed in the footer — the page was generated automatically by Doxygen for LAPACK from the source code. 🫶✨