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A059831 Determinant of Wilkinson's eigenvalue test matrix of order 2n+1. 1
0, -2, -4, -20, -252, -5610, -187944, -8760272, -540315160, -42535905530, -4158250120140, -493938370048692, -70043599065844404, -11684931733886455730, -2264985487707963662992, -504752888883221450120000, -128137017404994234514023024 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

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.

LINKS

Table of n, a(n) for n=0..16.

EXAMPLE

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

MAPLE

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:

PROG

(MATLAB) for i = 0:7 a(i) = det(wilkinson(2*i+1)); end; a

CROSSREFS

Cf. A059834.

Sequence in context: A120388 A061348 A127103 * A064493 A145614 A145626

Adjacent sequences:  A059828 A059829 A059830 * A059832 A059833 A059834

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Feb 25 2001

EXTENSIONS

More terms from David Wasserman, May 24 2002

STATUS

approved

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Last modified September 26 20:34 EDT 2021. Contains 347672 sequences. (Running on oeis4.)