ZQRT15(3)

🌸 NAME 🌸

hey bestie, welcome to the zqrt15.f(3) page from the Library Functions Manual 💅

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/zqrt15.f

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✨ SYNOPSIS ✨

okay so here’s the group-chat intro, literally:

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

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💖 Function/Subroutine Documentation 💖

🫶 the full signature, slay 🫶

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

🎀 Purpose 🎀

bestie, the whole point is this: ZQRT15 generates a matrix with full or deficient rank and of various norms. that’s the vibe 💖

🧚 Parameters 🧚

• SCALE — SCALE is INTEGER. SCALE = 1: normally scaled matrix; SCALE = 2: matrix scaled up; SCALE = 3: matrix scaled down. choose your scaling era ✨
• RKSEL — RKSEL is INTEGER. RKSEL = 1: full rank matrix; RKSEL = 2: rank-deficient matrix. rank drama, but make it intentional 💅
• M — M is INTEGER. The number of rows of the matrix A.
• N — N is INTEGER. The number of columns of A.
• 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).
• LWORK — LWORK is INTEGER. length of work space required. LWORK >= MAX(M+MIN(M,N),NRHS*MIN(M,N),2*N+M)

no cap, that LWORK formula is the main-character constraint — respect it 🫡

👑 Author 👑

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

📍 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: this iconic footer says LAPACK, Version 3.12.0, and /home/abui...IN/zqrt15.f(3) — no date printed, but the vibes are timeless 💖✨🎀