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TESTING/LIN/slavsp.f(3) LAPACK TESTING/LIN/slavsp.f(3)

TESTING/LIN/slavsp.f


subroutine slavsp (uplo, trans, diag, n, nrhs, a, ipiv, b, ldb, info)
SLAVSP

SLAVSP

Purpose:


SLAVSP performs one of the matrix-vector operations
x := A*x or x := A'*x,
where x is an N element vector and A is one of the factors
from the block U*D*U' or L*D*L' factorization computed by SSPTRF.
If TRANS = 'N', multiplies by U or U * D (or L or L * D)
If TRANS = 'T', multiplies by U' or D * U' (or L' or D * L' )
If TRANS = 'C', multiplies by U' or D * U' (or L' or D * L' )

Parameters

UPLO


UPLO is CHARACTER*1
Specifies whether the factor stored in A is upper or lower
triangular.
= 'U': Upper triangular
= 'L': Lower triangular

TRANS


TRANS is CHARACTER*1
Specifies the operation to be performed:
= 'N': x := A*x
= 'T': x := A'*x
= 'C': x := A'*x

DIAG


DIAG is CHARACTER*1
Specifies whether or not the diagonal blocks are unit
matrices. If the diagonal blocks are assumed to be unit,
then A = U or A = L, otherwise A = U*D or A = L*D.
= 'U': Diagonal blocks are assumed to be unit matrices.
= 'N': Diagonal blocks are assumed to be non-unit matrices.

N


N is INTEGER
The number of rows and columns of the matrix A. N >= 0.

NRHS


NRHS is INTEGER
The number of right hand sides, i.e., the number of vectors
x to be multiplied by A. NRHS >= 0.

A


A is REAL array, dimension (N*(N+1)/2)
The block diagonal matrix D and the multipliers used to
obtain the factor U or L, stored as a packed triangular
matrix as computed by SSPTRF.

IPIV


IPIV is INTEGER array, dimension (N)
The pivot indices from SSPTRF.

B


B is REAL array, dimension (LDB,NRHS)
On entry, B contains NRHS vectors of length N.
On exit, B is overwritten with the product A * B.

LDB


LDB is INTEGER
The leading dimension of the array B. LDB >= max(1,N).

INFO


INFO is INTEGER
= 0: successful exit
< 0: if INFO = -k, the k-th argument had an illegal value

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 128 of file slavsp.f.

Generated automatically by Doxygen for LAPACK from the source code.

Sun Jan 12 2025 15:13:35 Version 3.12.1

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