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| zlantp.f(3) | LAPACK | zlantp.f(3) | 
NAME¶
zlantp.f -SYNOPSIS¶
Functions/Subroutines¶
DOUBLE PRECISION function zlantp (NORM, UPLO, DIAG, N, AP, WORK)
Function/Subroutine Documentation¶
DOUBLE PRECISION function zlantp (characterNORM, characterUPLO, characterDIAG, integerN, complex*16, dimension( * )AP, double precision, dimension( * )WORK)¶
ZLANTP Purpose:ZLANTP returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a triangular matrix A, supplied in packed form.
ZLANTP
 
Parameters:
    ZLANTP = ( max(abs(A(i,j))), NORM = 'M' or 'm'
             (
             ( norm1(A),         NORM = '1', 'O' or 'o'
             (
             ( normI(A),         NORM = 'I' or 'i'
             (
             ( normF(A),         NORM = 'F', 'f', 'E' or 'e'
 where  norm1  denotes the  one norm of a matrix (maximum column sum),
 normI  denotes the  infinity norm  of a matrix  (maximum row sum) and
 normF  denotes the  Frobenius norm of a matrix (square root of sum of
 squares).  Note that  max(abs(A(i,j)))  is not a consistent matrix norm.
NORM
 
UPLO
 
DIAG
 
N
 
AP
 
WORK
 
Author:
          NORM is CHARACTER*1
          Specifies the value to be returned in ZLANTP as described
          above.
          UPLO is CHARACTER*1
          Specifies whether the matrix A is upper or lower triangular.
          = 'U':  Upper triangular
          = 'L':  Lower triangular
          DIAG is CHARACTER*1
          Specifies whether or not the matrix A is unit triangular.
          = 'N':  Non-unit triangular
          = 'U':  Unit triangular
          N is INTEGER
          The order of the matrix A.  N >= 0.  When N = 0, ZLANTP is
          set to zero.
          AP is COMPLEX*16 array, dimension (N*(N+1)/2)
          The upper or lower triangular matrix A, packed columnwise in
          a linear array.  The j-th column of A is stored in the array
          AP as follows:
          if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
          if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.
          Note that when DIAG = 'U', the elements of the array AP
          corresponding to the diagonal elements of the matrix A are
          not referenced, but are assumed to be one.
          WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
          where LWORK >= N when NORM = 'I'; otherwise, WORK is not
          referenced.
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
Author¶
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