LAPACK
3.4.2
LAPACK: Linear Algebra PACKage

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Functions/Subroutines  
subroutine  cla_heamv (UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) 
CLA_HEAMV computes a matrixvector product using a Hermitian indefinite matrix to calculate error bounds. 
subroutine cla_heamv  (  integer  UPLO, 
integer  N,  
real  ALPHA,  
complex, dimension( lda, * )  A,  
integer  LDA,  
complex, dimension( * )  X,  
integer  INCX,  
real  BETA,  
real, dimension( * )  Y,  
integer  INCY  
) 
CLA_HEAMV computes a matrixvector product using a Hermitian indefinite matrix to calculate error bounds.
Download CLA_HEAMV + dependencies [TGZ] [ZIP] [TXT]CLA_SYAMV performs the matrixvector operation y := alpha*abs(A)*abs(x) + beta*abs(y), where alpha and beta are scalars, x and y are vectors and A is an n by n symmetric matrix. This function is primarily used in calculating error bounds. To protect against underflow during evaluation, components in the resulting vector are perturbed away from zero by (N+1) times the underflow threshold. To prevent unnecessarily large errors for blockstructure embedded in general matrices, "symbolically" zero components are not perturbed. A zero entry is considered "symbolic" if all multiplications involved in computing that entry have at least one zero multiplicand.
[in]  UPLO  UPLO is INTEGER On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows: UPLO = BLAS_UPPER Only the upper triangular part of A is to be referenced. UPLO = BLAS_LOWER Only the lower triangular part of A is to be referenced. Unchanged on exit. 
[in]  N  N is INTEGER On entry, N specifies the number of columns of the matrix A. N must be at least zero. Unchanged on exit. 
[in]  ALPHA  ALPHA is REAL . On entry, ALPHA specifies the scalar alpha. Unchanged on exit. 
[in]  A  A is COMPLEX array of DIMENSION ( LDA, n ). Before entry, the leading m by n part of the array A must contain the matrix of coefficients. Unchanged on exit. 
[in]  LDA  LDA is INTEGER On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA must be at least max( 1, n ). Unchanged on exit. 
[in]  X  X is COMPLEX array, dimension ( 1 + ( n  1 )*abs( INCX ) ) Before entry, the incremented array X must contain the vector x. Unchanged on exit. 
[in]  INCX  INCX is INTEGER On entry, INCX specifies the increment for the elements of X. INCX must not be zero. Unchanged on exit. 
[in]  BETA  BETA is REAL . On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input. Unchanged on exit. 
[in,out]  Y  Y is REAL array, dimension ( 1 + ( n  1 )*abs( INCY ) ) Before entry with BETA nonzero, the incremented array Y must contain the vector y. On exit, Y is overwritten by the updated vector y. 
[in]  INCY  INCY is INTEGER On entry, INCY specifies the increment for the elements of Y. INCY must not be zero. Unchanged on exit. 
Level 2 Blas routine.  Written on 22October1986. Jack Dongarra, Argonne National Lab. Jeremy Du Croz, Nag Central Office. Sven Hammarling, Nag Central Office. Richard Hanson, Sandia National Labs.  Modified for the absolutevalue product, April 2006 Jason Riedy, UC Berkeley
Definition at line 178 of file cla_heamv.f.