SRC/sorbdb6.f(3)

🌸 NAME 🌸

Bestie, this is the manual page for SRC/sorbdb6.f, and it comes from the Library Functions Manual. Short name section, iconic energy 💅.

✨ SYNOPSIS ✨

💅 Functions/Subroutines 💅

Okay so, the function list is literally just one little legend:

subroutine sorbdb6 (m1, m2, n, x1, incx1, x2, incx2, q1, ldq1, q2, ldq2,
    work, lwork, info)

SORBDB6 periodt.

🫶 Function/Subroutine Documentation 🫶

Full signature ate:

subroutine sorbdb6 (integer m1, integer m2, integer n, real, dimension(*)
    x1, integer incx1, real, dimension(*) x2, integer incx2, real,
    dimension(ldq1,*) q1, integer ldq1, real, dimension(ldq2,*) q2, integer
    ldq2, real, dimension(*) work, integer lwork, integer info)

SORBDB6 slay.

🎀 Purpose 🎀

okay so the tea is: SORBDB6 orthogonalizes the column vector

X = [ X1 ]
    [ X2 ]

with respect to the columns of

Q = [ Q1 ] .
    [ Q2 ]

The columns of Q must be orthonormal. The orthogonalized vector will be zero if and only if it lies entirely in the range of Q.

The projection is computed with at most two iterations of the classical Gram-Schmidt algorithm, see

• L. Giraud, J. Langou, M. Rozložník. 2002. CERFACS Technical Report No. TR/PA/02/33. URL: https://www.cerfacs.fr/algor/reports/2002/TR_PA_02_33.pdf

🔥 Parameters 🔥

Every single parameter, no skipping:

• M1 — M1 is INTEGER. The dimension of X1 and the number of rows in Q1. 0 <= M1.
• M2 — M2 is INTEGER. The dimension of X2 and the number of rows in Q2. 0 <= M2.
• N — N is INTEGER. The number of columns in Q1 and Q2. 0 <= N.
• X1 — X1 is REAL array, dimension (M1). On entry, the top part of the vector to be orthogonalized. On exit, the top part of the projected vector.
• INCX1 — INCX1 is INTEGER. Increment for entries of X1.
• X2 — X2 is REAL array, dimension (M2). On entry, the bottom part of the vector to be orthogonalized. On exit, the bottom part of the projected vector.
• INCX2 — INCX2 is INTEGER. Increment for entries of X2.
• Q1 — Q1 is REAL array, dimension (LDQ1, N). The top part of the orthonormal basis matrix.
• LDQ1 — LDQ1 is INTEGER. The leading dimension of Q1. LDQ1 >= M1.
• Q2 — Q2 is REAL array, dimension (LDQ2, N). The bottom part of the orthonormal basis matrix.
• LDQ2 — LDQ2 is INTEGER. The leading dimension of Q2. LDQ2 >= M2.
• WORK — WORK is REAL array, dimension (LWORK).
• LWORK — LWORK is INTEGER. The dimension of the array WORK. LWORK >= 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 157 of file sorbdb6.f.

🦋 Author 🦋

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xoxo, your SRC/sorbdb6.f(3) bestie, signing off from LAPACK Version 3.12.0 💅✨