SRC/DEPRECATED/slatzm.f(3)

💖 SRC/DEPRECATED/slatzm.f(3) 💖

okay so bestie, welcome to the SRC/DEPRECATED/slatzm.f(3) page from the Library Functions Manual ✨ this one is a deprecated LAPACK routine and we're gonna read it together, no cap.

🌸 NAME 🌸

SRC/DEPRECATED/slatzm.f

✨ SYNOPSIS ✨

Functions/Subroutines

• subroutine slatzm (side, m, n, v, incv, tau, c1, c2, ldc, work) — SLATZM

🎀 Function/Subroutine Documentation 🎀

   subroutine slatzm (character side, integer m, integer n, real, dimension( *
       ) v, integer incv, real tau, real, dimension( ldc, * ) c1, real,
       dimension( ldc, * ) c2, integer ldc, real, dimension( * ) work)

SLATZM

🔥 Purpose 🔥

🚨 bestie, this routine is deprecated and has been replaced by routine SORMRZ.

SLATZM applies a Householder matrix generated by STZRQF to a matrix.

Let

P = I - tau*u*u**T,   u = ( 1 ),
                            ( v )

where v is an (m-1) vector if SIDE = 'L', or a (n-1) vector if SIDE = 'R'.

If SIDE equals 'L', let

C = [ C1 ] 1
    [ C2 ] m-1
      n

Then C is overwritten by P*C.

If SIDE equals 'R', let

C = [ C1, C2 ] m
       1  n-1

Then C is overwritten by C*P.

💅 Parameters 💅

SIDE

SIDE is CHARACTER*1
= 'L': form P * C
= 'R': form C * P

M

M is INTEGER
The number of rows of the matrix C.

N

N is INTEGER
The number of columns of the matrix C.

V

V is REAL array, dimension
        (1 + (M-1)*abs(INCV)) if SIDE = 'L'
        (1 + (N-1)*abs(INCV)) if SIDE = 'R'

The vector v in the representation of P. V is not used if TAU = 0.

INCV

INCV is INTEGER
The increment between elements of v. INCV <> 0

TAU

TAU is REAL
The value tau in the representation of P.

C1

C1 is REAL array, dimension
               (LDC,N) if SIDE = 'L'
               (M,1)   if SIDE = 'R'

On entry, the n-vector C1 if SIDE = 'L', or the m-vector C1 if SIDE = 'R'.

On exit, the first row of P*C if SIDE = 'L', or the first column of C*P if SIDE = 'R'.

C2

C2 is REAL array, dimension
               (LDC, N)   if SIDE = 'L'
               (LDC, N-1) if SIDE = 'R'

On entry, the (m - 1) x n matrix C2 if SIDE = 'L', or the m x (n - 1) matrix C2 if SIDE = 'R'.

On exit, rows 2:m of P*C if SIDE = 'L', or columns 2:m of C*P if SIDE = 'R'.

LDC

LDC is INTEGER
The leading dimension of the arrays C1 and C2. LDC >= (1,M).

WORK

WORK is REAL array, dimension
            (N) if SIDE = 'L'
            (M) if SIDE = 'R'

👑 Author 👑

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

Definition at line 150 of file slatzm.f.

🦋 Author 🦋

Generated automatically by Doxygen for LAPACK from the source code.

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okay that's the whole page bestie 🫶 it's SRC/DEPRECATED/slatzm.f(3) from LAPACK Version 3.12.0 — mwah, bye 💅✨