GNU/Linux man pages
Livre :
Expressions régulières,
Syntaxe et mise en oeuvre :
GNU/Linux |
CentOS 4.8 |
i386 |
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zlanhb(l) |
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ZLANHB - return the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of an n by n hermitian band matrix A, with k super-diagonals
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DOUBLE PRECISION |
FUNCTION ZLANHB( NORM, UPLO, N, K, AB, LDAB, WORK ) | ||
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CHARACTER |
NORM, UPLO | ||
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INTEGER |
K, LDAB, N | ||
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DOUBLE |
PRECISION WORK( * ) | ||
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COMPLEX*16 |
AB( LDAB, * ) |
ZLANHB returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of an n by n hermitian band matrix A, with k super-diagonals.
ZLANHB returns the value
ZLANHB = (
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 ZLANHB as described above.
UPLO (input) CHARACTER*1
Specifies whether the upper or
lower triangular part of the band matrix A is supplied. =
’U’: Upper triangular
= ’L’: Lower triangular
N (input) INTEGER
The order of the matrix A. N >= 0. When N = 0, ZLANHB is set to zero.
K (input) INTEGER
The number of super-diagonals or sub-diagonals of the band matrix A. K >= 0.
AB (input) COMPLEX*16 array, dimension (LDAB,N)
The upper or lower triangle of the hermitian band matrix A, stored in the first K+1 rows of AB. The j-th column of A is stored in the j-th column of the array AB as follows: if UPLO = ’U’, AB(k+1+i-j,j) = A(i,j) for max(1,j-k)<=i<=j; if UPLO = ’L’, AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+k). Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero.
LDAB (input) INTEGER
The leading dimension of the array AB. LDAB >= K+1.
WORK (workspace) DOUBLE PRECISION array, dimension (LWORK),
where LWORK >= N when NORM = ’I’ or ’1’ or ’O’; otherwise, WORK is not referenced.
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zlanhb(l) | |