SIAMMAX
2011
12 years 7 months ago
2011
This paper studies existence and uniqueness results and interlacing properties of nonlinear modifications of small rank of symmetric eigenvalue problems. Approximation properties ...
SIAMMAX
2011
12 years 7 months ago
2011
A sufficient condition for the convexity of a finite product of positive definite quadratic forms is given in terms of the condition numbers of the underlying matrices. When only...
SIAMMAX
2011
12 years 7 months ago
2011
We investigate an acceleration technique for restarted Krylov subspace methods for computing the action of a function of a large sparse matrix on a vector. Its effect is to ultima...
SIAMMAX
2011
12 years 7 months ago
2011
Higher-order tensors are used in many application fields, such as statistics, signal processing, and scientific computing. Efficient and reliable algorithms for manipulating thes...
SIAMMAX
2011
12 years 11 months ago
2011
We introduce a methodology for obtaining inventories of error results for families of numerical dense linear algebra algorithms. The approach for deriving the analyses is goal-orie...
SIAMMAX
2011
12 years 11 months ago
2011
Rational eigenvalue problems (REPs) are an emerging class of nonlinear eigenvalue problems that arise from a variety of physical applications. In this paper, we propose a lineariz...
SIAMMAX
2011
12 years 11 months ago
2011
Abstract. This paper concerns the computation of the coefficients ck of the characteristic polynomial of a real or complex matrix A. We analyze the forward error in the coefficient...
SIAMMAX
2011
12 years 11 months ago
2011
Abstract. Ergodicity coefficients for stochastic matrices determine inclusion regions for subdominant eigenvalues; estimate the sensitivity of the stationary distribution to change...