SRC/DEPRECATED/zlatzm.f(3)

okay bestie, welcome to the SRC/DEPRECATED/zlatzm.f(3) page from the Library Functions Manual — this one is a deprecated LAPACK routine, so buckle up 🎀.

🌸 NAME

SRC/DEPRECATED/zlatzm.f — that's the file, no cap.

✨ SYNOPSIS

🧚 Functions/Subroutines

subroutine zlatzm (side, m, n, v, incv, tau, c1, c2, ldc, work)
    ZLATZM

ZLATZM — yes, the icon itself.

🫶 Function/Subroutine Documentation

subroutine zlatzm (character side, integer m, integer n, complex*16,
    dimension( * ) v, integer incv, complex*16 tau, complex*16, dimension(
    ldc, * ) c1, complex*16, dimension( ldc, * ) c2, integer ldc,
    complex*16, dimension( * ) work)

ZLATZM

🎀 Purpose

🚨 deprecated alert: this routine is deprecated and has been replaced by routine ZUNMRZ.

ZLATZM applies a Householder matrix generated by ZTZRQF to a matrix.

Let:

P = I - tau*u*u**H,   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 COMPLEX*16 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 COMPLEX*16. The value tau in the representation of P.

C1

C1 is COMPLEX*16 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 COMPLEX*16 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 >= max(1,M).

WORK

WORK is COMPLEX*16 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 151 of file zlatzm.f.

🧚 Author

Generated automatically by Doxygen for LAPACK from the source code.

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okay that's the whole page, bestie 💖 — LAPACK Version 3.12.0, source page SRC/DEPRECATED/zlatzm.f(3). The footer doesn't list a date, so no invented date here 🎀.