p?lawil

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 10/15/2026

Version

Public

p?lawil

Forms the Wilkinson transform.

Syntax

void pslawil(const MKL_INT *ii, const MKL_INT *jj, const MKL_INT *m, const float *a,
             const MKL_INT *desca, const float *h44, const float *h33,
             const float *h43h34, float *v);

void pdlawil(const MKL_INT *ii, const MKL_INT *jj, const MKL_INT *m, const double *a,
             const MKL_INT *desca, const double *h44, const double *h33,
             const double *h43h34, double *v);

void pclawil(const MKL_INT *ii, const MKL_INT *jj, const MKL_INT *m,
             const MKL_Complex8 *a, const MKL_INT *desca, const MKL_Complex8 *h44,
             const MKL_Complex8 *h33, const MKL_Complex8 *h43h34, MKL_Complex8 *v);

void pzlawil(const MKL_INT *ii, const MKL_INT *jj, const MKL_INT *m,
             const MKL_Complex16 *a, const MKL_INT *desca, const MKL_Complex16 *h44,
             const MKL_Complex16 *h33, const MKL_Complex16 *h43h34, MKL_Complex16 *v);

Include Files

mkl_scalapack.h

Description

pslawil pdlawil pclawil pzlawil The p?lawil routine function gets the transform given by h44 , h33 , and h43h34 into v starting at row m .

Input Parameters

ii

(global)

Number of the process row which owns the matrix element A ( m +2, m +2).

jj

(global)

Number of the process column which owns the matrix element A ( m +2, m +2).

m

(global)

On entry, the location from where the transform starts (row m ). Unchanged on exit.

a

(local) REAL for pslawil DOUBLE PRECISION for pdlawil COMPLEX for pclawil DOUBLE COMPLEX for pzlawil

Array of size (lld_a,LOCc(n_a))lld_a * LOCc ( n_a ) .

On entry, the Hessenberg matrix. Unchanged on exit.

desca

(global and local) INTEGER Array of size dlen_ . The array descriptor for the distributed matrix A . Unchanged on exit.

h44 , h33 , h43h34

(global) REAL for pslawil DOUBLE PRECISION for pdlawil COMPLEX for pclawil DOUBLE COMPLEX for pzlawil These three values are for the double shift QR iteration. Unchanged on exit.

Output Parameters

v: (global) REAL for pslawil DOUBLE PRECISION for pdlawil COMPLEX for pclawil DOUBLE COMPLEX for pzlawil Array of size 3 that contains the transform on output.

NOTE:

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Developer Reference for Intel® oneAPI Math Kernel Library for C

p?lawil

Syntax

Include Files

Description

Input Parameters

Output Parameters