1ZLANGT(1) LAPACK auxiliary routine (version 3.1) ZLANGT(1)
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6 ZLANGT - the value of the one norm, or the Frobenius norm, or the
7 infinity norm, or the element of largest absolute value of a complex
8 tridiagonal matrix A
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11 DOUBLE PRECISION FUNCTION ZLANGT( NORM, N, DL, D, DU )
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13 CHARACTER NORM
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15 INTEGER N
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17 COMPLEX*16 D( * ), DL( * ), DU( * )
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20 ZLANGT returns the value of the one norm, or the Frobenius norm, or
21 the infinity norm, or the element of largest absolute value of a
22 complex tridiagonal matrix A.
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26 ZLANGT returns the value
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28 ZLANGT = ( max(abs(A(i,j))), NORM = 'M' or 'm'
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30 ( norm1(A), NORM = '1', 'O' or 'o'
31 (
32 ( normI(A), NORM = 'I' or 'i'
33 (
34 ( normF(A), NORM = 'F', 'f', 'E' or 'e'
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36 where norm1 denotes the one norm of a matrix (maximum column sum),
37 normI denotes the infinity norm of a matrix (maximum row sum) and
38 normF denotes the Frobenius norm of a matrix (square root of sum of
39 squares). Note that max(abs(A(i,j))) is not a consistent matrix
40 norm.
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44 NORM (input) CHARACTER*1
45 Specifies the value to be returned in ZLANGT as described
46 above.
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48 N (input) INTEGER
49 The order of the matrix A. N >= 0. When N = 0, ZLANGT is set
50 to zero.
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52 DL (input) COMPLEX*16 array, dimension (N-1)
53 The (n-1) sub-diagonal elements of A.
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55 D (input) COMPLEX*16 array, dimension (N)
56 The diagonal elements of A.
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58 DU (input) COMPLEX*16 array, dimension (N-1)
59 The (n-1) super-diagonal elements of A.
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63 LAPACK auxiliary routine (versionNo3v.e1m)ber 2006 ZLANGT(1)