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Search: id:A059831
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| A059831 |
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Determinant of Wilkinson's eigenvalue test matrix of order 2n+1. |
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+0
2
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| 0, -2, -4, -20, -252, -5610, -187944, -8760272, -540315160, -42535905530, -4158250120140, -493938370048692, -70043599065844404, -11684931733886455730, -2264985487707963662992, -504752888883221450120000, -128137017404994234514023024
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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P. Jansen and P. Weidner, High-accuracy arithmetic software - some tests of the ACRITH problem-solving routines, ACM Trans. Math. Software, 12 (1986), 62-70.
MathWorks, MATLAB Reference Guide, 1996.
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EXAMPLE
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The matrix of order 5:
2 1 0 0 0
1 1 1 0 0
0 1 0 1 0
0 0 1 1 1
0 0 0 1 2
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MAPLE
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with(LinearAlgebra): unprotect(D):
for n from 1 to 7 do N:=2*n+1; D:=Matrix(N, N, 0 );
for i from 1 to N-1 do D[i, i+1]:=1; D[i+1, i]:=1; od: for i from 1 to N do D[i, i]:=abs(n-i+1); od: lprint(Determinant(D)); od:
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PROGRAM
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(MATLAB) for i = 0:7 a(i) = det(wilkinson(2*i+1)); end; a
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CROSSREFS
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Cf. A059834.
Sequence in context: A120388 A061348 A127103 this_sequence A064493 A145614 A145626
Adjacent sequences: A059828 A059829 A059830 this_sequence A059832 A059833 A059834
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Feb 25 2001
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), May 24 2002
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