SIAMMAX
2011
13 years 3 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
13 years 3 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
13 years 3 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
13 years 3 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
13 years 7 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
13 years 7 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
13 years 7 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
13 years 7 months ago
2011
Abstract. Ergodicity coefficients for stochastic matrices determine inclusion regions for subdominant eigenvalues; estimate the sensitivity of the stationary distribution to change...