SORM22(3)

🎀 SORM22(3) 🎀

okay so this is the Library Functions Manual page for SORM22(3), bestie. It’s giving “LAPACK source-file page,” and the file itself is literally:

💖 NAME 💖

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/sorm22.f

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✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

       subroutine SORM22 (side, trans, m, n, n1, n2, q, ldq, c, ldc, work,
           lwork, info)
           SORM22 multiplies a general matrix by a banded orthogonal matrix.

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🦋 Function/Subroutine Documentation 🦋

Here’s the full signature, no cap:

   subroutine SORM22 (character side, character trans, integer m, integer n,
       integer n1, integer n2, real, dimension( ldq, * ) q, integer ldq, real,
       dimension( ldc, * ) c, integer ldc, real, dimension( * ) work, integer
       lwork, integer info)

SORM22 multiplies a general matrix by a banded orthogonal matrix. slay.

🌸 Purpose 🌸

SORM22 overwrites the general real M-by-N matrix C with:

                 SIDE = 'L'     SIDE = 'R'
 TRANS = 'N':      Q * C          C * Q
 TRANS = 'T':      Q**T * C       C * Q**T

where Q is a real orthogonal matrix of order NQ, with NQ = M if SIDE = 'L' and NQ = N if SIDE = 'R'. The orthogonal matrix Q processes a 2-by-2 block structure:

        [  Q11  Q12  ]
    Q = [            ]
        [  Q21  Q22  ],

where Q12 is an N1-by-N1 lower triangular matrix and Q21 is an N2-by-N2 upper triangular matrix. iconic.

🎀 Parameters 🎀

💅 SIDE

SIDE is CHARACTER*1

• = 'L': apply Q or Q**T from the Left;
• = 'R': apply Q or Q**T from the Right.

💅 TRANS

TRANS is CHARACTER*1

• = 'N': apply Q (No transpose);
• = 'C': apply Q**T (Conjugate transpose).

🍓 M

M is INTEGER

The number of rows of the matrix C. M >= 0.

🍓 N

N is INTEGER

The number of columns of the matrix C. N >= 0.

🌼 N1, N2

N1 is INTEGER N2 is INTEGER

The dimension of Q12 and Q21, respectively. N1, N2 >= 0. The following requirement must be satisfied: N1 + N2 = M if SIDE = 'L' and N1 + N2 = N if SIDE = 'R'.

🦋 Q

Q is REAL array, dimension

(LDQ,M) if SIDE = 'L'
(LDQ,N) if SIDE = 'R'

🦋 LDQ

LDQ is INTEGER

The leading dimension of the array Q. LDQ >= max(1,M) if SIDE = 'L'; LDQ >= max(1,N) if SIDE = 'R'.

🧚 C

C is REAL array, dimension (LDC,N)

On entry, the M-by-N matrix C. On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q.

🧚 LDC

LDC is INTEGER

The leading dimension of the array C. LDC >= max(1,M).

👑 WORK

WORK is REAL array, dimension (MAX(1,LWORK))

On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

👑 LWORK

LWORK is INTEGER

The dimension of the array WORK. If SIDE = 'L', LWORK >= max(1,N); if SIDE = 'R', LWORK >= max(1,M). For optimum performance LWORK >= M*N.

If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA.

💜 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 161 of file sorm22.f.

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🌟 Author 🌟

Generated automatically by Doxygen for LAPACK from the source code.

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Signed off with LAPACK Version 3.12.0 and the source line /home/abui...RC/sorm22.f(3) — the footer didn’t hand us a date, so that’s the whole vibe. 💜