TESTING/EIG/zbdt02.f(3)

🌸 TESTING/EIG/zbdt02.f(3) — Library Functions Manual 🌸

okay so this is the whole page for TESTING/EIG/zbdt02.f, bestie. Manual name folded in, vibes immaculate, facts intact 💅

---

✨ NAME ✨

TESTING/EIG/zbdt02.f — like, the file/page we're talking about, periodt 🎀

🦋 SYNOPSIS 🦋

💅 Functions/Subroutines 💅

subroutine zbdt02 (m, n, b, ldb, c, ldc, u, ldu, work, rwork, resid)
        ZBDT02

🌈 Function/Subroutine Documentation 🌈

subroutine zbdt02 (integer m, integer n, complex*16, dimension( ldb, * ) b,
    integer ldb, complex*16, dimension( ldc, * ) c, integer ldc, complex*16,
    dimension( ldu, * ) u, integer ldu, complex*16, dimension( * ) work,
    double precision, dimension( * ) rwork, double precision resid)
    ZBDT02

🎀 Purpose 🎀

ZBDT02 tests the change of basis C = U**H * B by computing the residual:

RESID = norm(B - U * C) / ( max(m,n) * norm(B) * EPS ),

where B and C are M by N matrices, U is an M by M orthogonal matrix, and EPS is the machine precision. That's the whole little math moment, and it ate 💖

🍓 Parameters 🍓

• M — M is INTEGER. The number of rows of the matrices B and C and the order of the matrix Q. Yes, the page says Q here, and I'm keeping every letter, no cap 👀
• N — N is INTEGER. The number of columns of the matrices B and C.
• B — B is COMPLEX*16 array, dimension (LDB,N). The m by n matrix B.
• LDB — LDB is INTEGER. The leading dimension of the array B. LDB >= max(1,M).
• C — C is COMPLEX*16 array, dimension (LDC,N). The m by n matrix C, assumed to contain U**H * B.
• LDC — LDC is INTEGER. The leading dimension of the array C. LDC >= max(1,M).
• U — U is COMPLEX*16 array, dimension (LDU,M). The m by m orthogonal matrix U.
• LDU — LDU is INTEGER. The leading dimension of the array U. LDU >= max(1,M).
• WORK — WORK is COMPLEX*16 array, dimension (M).
• RWORK — RWORK is DOUBLE PRECISION array, dimension (M).
• RESID — RESID is DOUBLE PRECISION. RESID = norm(B - U * C) / ( max(m,n) * norm(B) * EPS ), — iconic formula, no notes 🫶

👑 Author 👑

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

Definition at line 118 of file zbdt02.f. Slay, line 118 🌟

💜 Author 💜

Generated automatically by Doxygen for LAPACK from the source code. Very "the tooling did this, bestie" energy 🧚

---

okay bye bestie 💖 — this footer moment is brought to you by LAPACK, Version 3.12.0, and the page tag TESTING/EIG/zbdt02.f(3). Mwah 💋