DQRT15(3)

💅 DQRT15(3) 💅

okay bestie, welcome to the DQRT15(3) page from the Library Functions Manual. This one is literally about generating a matrix with full or deficient rank and various norms — math but make it fashion ✨💖

🌟 NAME 🌟

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/dqrt15.f

That’s the exact path, no cap. It’s giving “deep in the LAPACK testing folder” and we respect it 🫶.

✨ SYNOPSIS ✨

Functions/Subroutines

   subroutine DQRT15 (scale, rksel, m, n, nrhs, a, lda, b, ldb, s, rank,
       norma, normb, iseed, work, lwork)

DQRT15

That’s the subroutine name, periodt 💅.

🦋 FUNCTION/SUBROUTINE DOCUMENTATION 🦋

   subroutine DQRT15 (integer scale, integer rksel, integer m, integer n,
       integer nrhs, double precision, dimension( lda, * ) a, integer lda,
       double precision, dimension( ldb, * ) b, integer ldb, double precision,
       dimension( * ) s, integer rank, double precision norma, double precision
       normb, integer, dimension( 4 ) iseed, double precision, dimension( lwork
       ) work, integer lwork)

DQRT15

🌸 Purpose 🌸

DQRT15 generates a matrix with full or deficient rank and of various norms. That’s the whole assignment, and it ate 💅✨.

🎀 Parameters 🎀

• SCALE — SCALE is INTEGER, and it controls the scaling vibe:
  • SCALE = 1: normally scaled matrix
  • SCALE = 2: matrix scaled up
  • SCALE = 3: matrix scaled down
• RKSEL — RKSEL is INTEGER, and it picks the rank behavior:
  • RKSEL = 1: full rank matrix
  • RKSEL = 2: rank-deficient matrix
• 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 DOUBLE PRECISION array, dimension (LDA,N); the M-by-N matrix A. main character matrix energy 👑
• LDA — LDA is INTEGER; the leading dimension of the array A.
• B — B is DOUBLE PRECISION 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 of A.
• NORMB — NORMB is DOUBLE PRECISION; one-norm of B.
• ISEED — ISEED is integer array, dimension (4); seed for random number generator.
• WORK — WORK is DOUBLE PRECISION array, dimension (LWORK).
• LWORK — LWORK is INTEGER; length of work space required. And bestie, the requirement is exactly:

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 146 of file dqrt15.f.

💜 AUTHOR (AUTOGENERATED) 💜

This one is auto-generated, bestie: Generated automatically by Doxygen for LAPACK from the source code. ✨

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okay that’s the whole page 🫶 footer source/version/path vibes: LAPACK, Version 3.12.0, and /home/abui...IN/dqrt15.f(3) — no separate date text was in the footer, so we’re not inventing one, periodt 🙈💖