79 search results - page 1 / 16 » On condition numbers of polynomial eigenvalue problems |
AMC
2010
13 years 4 months ago
2010
In this paper, we investigate condition numbers of eigenvalue problems of matrix polynomials with nonsingular leading coefficients, generalizing classical results of matrix pertur...
TCOM
2010
13 years 3 months ago
2010
Abstract—This paper investigates the distribution of the condition number of complex Wishart matrices. Two closely related measures are considered: the standard condition number ...
SIAMJO
2011
12 years 11 months ago
2011
Abstract. The condition number of a Gram matrix defined by a polynomial basis and a set of points is often used to measure the sensitivity of the least squares polynomial approxim...
SIAMSC
2010
12 years 11 months ago
2010
Abstract. The Arnoldi method is currently a very popular algorithm to solve large-scale eigenvalue problems. The main goal of this paper is to generalize the Arnoldi method to the ...
JC
2007
13 years 4 months ago
2007
We study the complexity of approximating the smallest eigenvalue of −∆ + q with Dirichlet boundary conditions on the d-dimensional unit cube. Here ∆ is the Laplacian, and th...