ISSN:
0945-3245
Keywords:
AMS(MOS)
;
65H10
;
58C99
;
55M25
;
CR: G1.3
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary The homotopy method can be used to solve eigenvalue-eigenvector problems. The purpose of this paper is to report the numerical experience of the homotopy method of computing eigenpairs for real symmetric tridiagonal matrices together with a couple of new theoretical results. In practice, it is rerely of any interest to compute all the eigenvalues. The homotopy method, having the order preserving property, can provide any specific eigenvalue without calculating any other eigenvalues. Besides this advantage, we note that the homotopy algorithm is to a large degree a parallel algorithm. Numerical experimentation shows that the homotopy method can be very efficient especially for graded matrices.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01390054
