ZPOT06(3)
π NAME
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β¨ SYNOPSIS
Functions/Subroutines
subroutine ZPOT06 (uplo, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
ZPOT06
π¦ Function/Subroutine Documentation
subroutine ZPOT06 (character uplo, integer n, integer nrhs, complex*16,
dimension( lda, * ) a, integer lda, complex*16, dimension( ldx, * ) x,
integer ldx, complex*16, dimension( ldb, * ) b, integer ldb, double
precision, dimension( * ) rwork, double precision resid)
ZPOT06 β thatβs the main character of this page, periodt π
πΈ Purpose
ZPOT06 computes the residual for a solution of a system of linear equations A*x = b :
RESID = norm(B - A*X,inf) / ( norm(A,inf) * norm(X,inf) * EPS ),
where EPS is the machine epsilon.
π₯ Parameters
UPLOβUPLOisCHARACTER*1. Specifies whether the upper or lower triangular part of the symmetric matrixAis stored:= 'U': Upper triangular;= 'L': Lower triangular.NβNisINTEGER. The number of rows and columns of the matrixA.N >= 0.NRHSβNRHSisINTEGER. The number of columns ofB, the matrix of right hand sides.NRHS >= 0.AβAisCOMPLEX*16array, dimension(LDA,N). The originalM x NmatrixA.LDAβLDAisINTEGER. The leading dimension of the arrayA.LDA >= max(1,N).XβXisCOMPLEX*16array, dimension(LDX,NRHS). The computed solution vectors for the system of linear equations.LDXβLDXisINTEGER. The leading dimension of the arrayX. IfTRANS = 'N',LDX >= max(1,N); ifTRANS = 'T'or'C',LDX >= max(1,N).BβBisCOMPLEX*16array, dimension(LDB,NRHS). On entry, the right hand side vectors for the system of linear equations. On exit,Bis overwritten with the differenceB - A*X.LDBβLDBisINTEGER. The leading dimension of the arrayB.IF TRANS = 'N',LDB >= max(1,M); ifTRANS = 'T'or'C',LDB >= max(1,N).RWORKβRWORKisDOUBLE PRECISIONarray, dimension(N).RESIDβRESIDisDOUBLE PRECISION. The maximum over the number of right hand sides ofnorm(B - A*X) / ( norm(A) * norm(X) * EPS ).
π Author
- Univ. of Tennessee
- Univ. of California Berkeley
- Univ. of Colorado Denver
- NAG Ltd.
Definition at line 125 of file zpot06.f.
π Author
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