Householder's method for symmetric matrices
Householder's method for symmetric matrices
Householder's method for symmetric matrices
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J. H. WILKINSON: <strong>Householder's</strong> <strong>method</strong> <strong>for</strong> <strong>symmetric</strong> <strong>matrices</strong> 36t<br />
Eigenvectors of the matrix A<br />
-- 5.47t 727952ao-- f<br />
3.12569920610-- t<br />
--0.618112077<br />
1 A 560659371o--t<br />
4.5549374641o-- 1<br />
3.4to1304181o--I<br />
- - t. 1643462OOlo-- t<br />
--o.1959o67121o--1<br />
--o.682o43o35<br />
6.36o71214Olo -- t<br />
4.6935807241o-- t<br />
--0.542212195<br />
- - 5.4445240331o-- t<br />
4.2586566t91o--1<br />
8.8988503651o--2<br />
R e f e r e n c e s<br />
Eigenvectors of the matrix B<br />
6.6954556761o--t<br />
--3.9533t735010--t<br />
1.36726362t io-- 1<br />
--0.288372768<br />
4.63372192810 -- t<br />
- - 2.808 t 098561o-- 1<br />
0.t3164t89tlo--t<br />
2.5928612341o-- 1<br />
--1.995t 543031o--t<br />
--0.728887389<br />
5.5tt 5485651o--t<br />
--2.40296694tlo--t<br />
5.0395 t 79731o- 1<br />
o. 740322901 lo-- t<br />
- - 5.2916056301o-- t<br />
--3.t320230781o--t<br />
-- 5.2138969241o-- t<br />
3.0o99502941o--t<br />
3.9101568851o--1<br />
--0.8087821031o--t<br />
--4.t 868566571o-- t<br />
- - 4.4628447191o--<br />
--0.520371701<br />
4.4t 94029251o-- t<br />
I1] BAUER, F. L., and HOUSEHOLDER, A. S. : On certain <strong>method</strong>s <strong>for</strong> expanding the<br />
characteristic polynomial. Numer, Math. 1, 29-- 37 (t 959).<br />
[2] BAUER, F. L.: Sequential reduction to tri-diagonal <strong>for</strong>m. J. Soc. Indust. Appl.<br />
Math, 7, 107--113 (t959).<br />
[3] WILKINSON, J. H. : <strong>Householder's</strong> <strong>method</strong> <strong>for</strong> the solution of the algebraic eigen-<br />
problem. Computer J. 3, 23 (1960).<br />
National Physical Laboratory<br />
Teddington, Middlesex