| langt(3) | LAPACK | langt(3) |
langt - langt: general matrix, tridiagonal
real function clangt (norm, n, dl, d, du)
CLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm,
or the largest absolute value of any element of a general tridiagonal
matrix. double precision function dlangt (norm, n, dl, d, du)
DLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm,
or the largest absolute value of any element of a general tridiagonal
matrix. real function slangt (norm, n, dl, d, du)
SLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm,
or the largest absolute value of any element of a general tridiagonal
matrix. double precision function zlangt (norm, n, dl, d, du)
ZLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm,
or the largest absolute value of any element of a general tridiagonal
matrix.
CLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general tridiagonal matrix.
Purpose:
CLANGT 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 tridiagonal matrix A.
Returns
CLANGT = ( 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 is CHARACTER*1
Specifies the value to be returned in CLANGT as described
above.
N
N is INTEGER
The order of the matrix A. N >= 0. When N = 0, CLANGT is
set to zero.
DL
DL is COMPLEX array, dimension (N-1)
The (n-1) sub-diagonal elements of A.
D
D is COMPLEX array, dimension (N)
The diagonal elements of A.
DU
DU is COMPLEX array, dimension (N-1)
The (n-1) super-diagonal elements of A.
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
DLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general tridiagonal matrix.
Purpose:
DLANGT 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 tridiagonal matrix A.
Returns
DLANGT = ( 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 is CHARACTER*1
Specifies the value to be returned in DLANGT as described
above.
N
N is INTEGER
The order of the matrix A. N >= 0. When N = 0, DLANGT is
set to zero.
DL
DL is DOUBLE PRECISION array, dimension (N-1)
The (n-1) sub-diagonal elements of A.
D
D is DOUBLE PRECISION array, dimension (N)
The diagonal elements of A.
DU
DU is DOUBLE PRECISION array, dimension (N-1)
The (n-1) super-diagonal elements of A.
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
SLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general tridiagonal matrix.
Purpose:
SLANGT 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 tridiagonal matrix A.
Returns
SLANGT = ( 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 is CHARACTER*1
Specifies the value to be returned in SLANGT as described
above.
N
N is INTEGER
The order of the matrix A. N >= 0. When N = 0, SLANGT is
set to zero.
DL
DL is REAL array, dimension (N-1)
The (n-1) sub-diagonal elements of A.
D
D is REAL array, dimension (N)
The diagonal elements of A.
DU
DU is REAL array, dimension (N-1)
The (n-1) super-diagonal elements of A.
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
ZLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general tridiagonal matrix.
Purpose:
ZLANGT 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 tridiagonal matrix A.
Returns
ZLANGT = ( 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 is CHARACTER*1
Specifies the value to be returned in ZLANGT as described
above.
N
N is INTEGER
The order of the matrix A. N >= 0. When N = 0, ZLANGT is
set to zero.
DL
DL is COMPLEX*16 array, dimension (N-1)
The (n-1) sub-diagonal elements of A.
D
D is COMPLEX*16 array, dimension (N)
The diagonal elements of A.
DU
DU is COMPLEX*16 array, dimension (N-1)
The (n-1) super-diagonal elements of A.
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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| Thu Aug 7 2025 17:26:25 | Version 3.12.0 |