/home/abui.../cunbdb6.f(3)

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💖 NAME 💖

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/cunbdb6.f

That’s the whole name, no cap — a full absolute path as the name. Iconic? Kinda unhinged? Both 🫶

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✨ SYNOPSIS ✨

🌸 Functions/Subroutines 🌸

subroutine CUNBDB6 (m1, m2, n, x1, incx1, x2, incx2, q1, ldq1, q2, ldq2, work, lwork, info)

CUNBDB6

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🦋 Function/Subroutine Documentation 🦋

🌟 subroutine CUNBDB6

subroutine CUNBDB6 (integer m1, integer m2, integer n, complex, dimension(*) x1, integer incx1, complex, dimension(*) x2, integer incx2, complex, dimension(ldq1,*) q1, integer ldq1, complex, dimension(ldq2,*) q2, integer ldq2, complex, dimension(*) work, integer lwork, integer info)

CUNBDB6

🌸 Purpose 🌸

CUNBDB6 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. Periodt. 🦋

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 💅

• M1 — INTEGER. The dimension of X1 and the number of rows in Q1. 0 <= M1.
• M2 — INTEGER. The dimension of X2 and the number of rows in Q2. 0 <= M2.
• N — INTEGER. The number of columns in Q1 and Q2. 0 <= N.
• X1 — COMPLEX array, dimension (M1). On entry, the top part of the vector to be orthogonalized. On exit, the top part of the projected vector.
• INCX1 — INTEGER. Increment for entries of X1.
• X2 — COMPLEX array, dimension (M2). On entry, the bottom part of the vector to be orthogonalized. On exit, the bottom part of the projected vector.
• INCX2 — INTEGER. Increment for entries of X2.
• Q1 — COMPLEX array, dimension (LDQ1, N). The top part of the orthonormal basis matrix.
• LDQ1 — INTEGER. The leading dimension of Q1. LDQ1 >= M1.
• Q2 — COMPLEX array, dimension (LDQ2, N). The bottom part of the orthonormal basis matrix.
• LDQ2 — INTEGER. The leading dimension of Q2. LDQ2 >= M2.
• WORK — COMPLEX array, dimension (LWORK).
• LWORK — INTEGER. The dimension of the array WORK. LWORK >= N.
• INFO — 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 cunbdb6.f.

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🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

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