CLANHE(3F) CLANHE(3F)
CLANHE - return the value of the one norm, or the Frobenius norm, or the
infinity norm, or the element of largest absolute value of a complex
hermitian matrix A
REAL FUNCTION CLANHE( NORM, UPLO, N, A, LDA, WORK )
CHARACTER NORM, UPLO
INTEGER LDA, N
REAL WORK( * )
COMPLEX A( LDA, * )
CLANHE returns the value of the one norm, or the Frobenius norm, or the
infinity norm, or the element of largest absolute value of a complex
hermitian matrix A.
CLANHE returns the value
CLANHE = ( 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 matrix norm.
NORM (input) CHARACTER*1
Specifies the value to be returned in CLANHE as described above.
UPLO (input) CHARACTER*1
Specifies whether the upper or lower triangular part of the
hermitian matrix A is to be referenced. = 'U': Upper triangular
part of A is referenced
= 'L': Lower triangular part of A is referenced
N (input) INTEGER
The order of the matrix A. N >= 0. When N = 0, CLANHE is set to
zero.
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CLANHE(3F) CLANHE(3F)
A (input) COMPLEX array, dimension (LDA,N)
The hermitian matrix A. If UPLO = 'U', the leading n by n upper
triangular part of A contains the upper triangular part of the
matrix A, and the strictly lower triangular part of A is not
referenced. If UPLO = 'L', the leading n by n lower triangular
part of A contains the lower triangular part of the matrix A, and
the strictly upper triangular part of A is not referenced. Note
that the imaginary parts of the diagonal elements need not be set
and are assumed to be zero.
LDA (input) INTEGER
The leading dimension of the array A. LDA >= max(N,1).
WORK (workspace) REAL array, dimension (LWORK),
where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise, WORK
is not referenced.
CLANHE(3F) CLANHE(3F)
CLANHE - return the value of the one norm, or the Frobenius norm, or the
infinity norm, or the element of largest absolute value of a complex
hermitian matrix A
REAL FUNCTION CLANHE( NORM, UPLO, N, A, LDA, WORK )
CHARACTER NORM, UPLO
INTEGER LDA, N
REAL WORK( * )
COMPLEX A( LDA, * )
CLANHE returns the value of the one norm, or the Frobenius norm, or the
infinity norm, or the element of largest absolute value of a complex
hermitian matrix A.
CLANHE returns the value
CLANHE = ( 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 matrix norm.
NORM (input) CHARACTER*1
Specifies the value to be returned in CLANHE as described above.
UPLO (input) CHARACTER*1
Specifies whether the upper or lower triangular part of the
hermitian matrix A is to be referenced. = 'U': Upper triangular
part of A is referenced
= 'L': Lower triangular part of A is referenced
N (input) INTEGER
The order of the matrix A. N >= 0. When N = 0, CLANHE is set to
zero.
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CLANHE(3F) CLANHE(3F)
A (input) COMPLEX array, dimension (LDA,N)
The hermitian matrix A. If UPLO = 'U', the leading n by n upper
triangular part of A contains the upper triangular part of the
matrix A, and the strictly lower triangular part of A is not
referenced. If UPLO = 'L', the leading n by n lower triangular
part of A contains the lower triangular part of the matrix A, and
the strictly upper triangular part of A is not referenced. Note
that the imaginary parts of the diagonal elements need not be set
and are assumed to be zero.
LDA (input) INTEGER
The leading dimension of the array A. LDA >= max(N,1).
WORK (workspace) REAL array, dimension (LWORK),
where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise, WORK
is not referenced.
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