lanht(3) LAPACK lanht(3)
NAME
lanht - lan{ht,st}: Hermitian/symmetric matrix, tridiagonal
SYNOPSIS
Functions
real function clanht (norm, n, d, e)
CLANHT returns the value of the 1-norm, or the Frobenius norm, or
the infinity norm, or the element of largest absolute value of a
complex Hermitian tridiagonal matrix.
double precision function dlanst (norm, n, d, e)
DLANST returns the value of the 1-norm, or the Frobenius norm, or
the infinity norm, or the element of largest absolute value of a
real symmetric tridiagonal matrix.
real function slanst (norm, n, d, e)
SLANST returns the value of the 1-norm, or the Frobenius norm, or
the infinity norm, or the element of largest absolute value of a
real symmetric tridiagonal matrix.
double precision function zlanht (norm, n, d, e)
ZLANHT returns the value of the 1-norm, or the Frobenius norm, or
the infinity norm, or the element of largest absolute value of a
complex Hermitian tridiagonal matrix.
Detailed Description
Function Documentation
real function clanht (character norm, integer n, real, dimension( * ) d,
complex, dimension( * ) e)
CLANHT returns the value of the 1-norm, or the Frobenius norm, or the
infinity norm, or the element of largest absolute value of a complex
Hermitian tridiagonal matrix.
Purpose:
CLANHT 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 tridiagonal matrix A.
Returns
CLANHT
CLANHT = ( 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.
Parameters
NORM
NORM is CHARACTER*1
Specifies the value to be returned in CLANHT as described
above.
N
N is INTEGER
The order of the matrix A. N >= 0. When N = 0, CLANHT is
set to zero.
D
D is REAL array, dimension (N)
The diagonal elements of A.
E
E is COMPLEX array, dimension (N-1)
The (n-1) sub-diagonal or super-diagonal elements of A.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
double precision function dlanst (character norm, integer n, double
precision, dimension( * ) d, double precision, dimension( * ) e)
DLANST returns the value of the 1-norm, or the Frobenius norm, or the
infinity norm, or the element of largest absolute value of a real
symmetric tridiagonal matrix.
Purpose:
DLANST returns the value of the one norm, or the Frobenius norm, or
the infinity norm, or the element of largest absolute value of a
real symmetric tridiagonal matrix A.
Returns
DLANST
DLANST = ( 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.
Parameters
NORM
NORM is CHARACTER*1
Specifies the value to be returned in DLANST as described
above.
N
N is INTEGER
The order of the matrix A. N >= 0. When N = 0, DLANST is
set to zero.
D
D is DOUBLE PRECISION array, dimension (N)
The diagonal elements of A.
E
E is DOUBLE PRECISION array, dimension (N-1)
The (n-1) sub-diagonal or super-diagonal elements of A.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
real function slanst (character norm, integer n, real, dimension( * ) d,
real, dimension( * ) e)
SLANST returns the value of the 1-norm, or the Frobenius norm, or the
infinity norm, or the element of largest absolute value of a real
symmetric tridiagonal matrix.
Purpose:
SLANST returns the value of the one norm, or the Frobenius norm, or
the infinity norm, or the element of largest absolute value of a
real symmetric tridiagonal matrix A.
Returns
SLANST
SLANST = ( 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.
Parameters
NORM
NORM is CHARACTER*1
Specifies the value to be returned in SLANST as described
above.
N
N is INTEGER
The order of the matrix A. N >= 0. When N = 0, SLANST is
set to zero.
D
D is REAL array, dimension (N)
The diagonal elements of A.
E
E is REAL array, dimension (N-1)
The (n-1) sub-diagonal or super-diagonal elements of A.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
double precision function zlanht (character norm, integer n, double
precision, dimension( * ) d, complex*16, dimension( * ) e)
ZLANHT returns the value of the 1-norm, or the Frobenius norm, or the
infinity norm, or the element of largest absolute value of a complex
Hermitian tridiagonal matrix.
Purpose:
ZLANHT 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 tridiagonal matrix A.
Returns
ZLANHT
ZLANHT = ( 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.
Parameters
NORM
NORM is CHARACTER*1
Specifies the value to be returned in ZLANHT as described
above.
N
N is INTEGER
The order of the matrix A. N >= 0. When N = 0, ZLANHT is
set to zero.
D
D is DOUBLE PRECISION array, dimension (N)
The diagonal elements of A.
E
E is COMPLEX*16 array, dimension (N-1)
The (n-1) sub-diagonal or super-diagonal elements of A.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Author
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