A new derivation of eigenvalue inequalities for the multinomial distribution

A New Inexact Inverse Subspace Iteration for Generalized Eigenvalue Problems

In this paper, we represent an inexact inverse subspace iteration method for computing a few eigenpairs of the generalized eigenvalue problem Ax = Bx [Q. Ye and P. Zhang, Inexact inverse subspace iteration for generalized eigenvalue problems, Linear Algebra and its Application, 434 (2011) 1697-1715 ]. In particular, the linear convergence property of the inverse subspace iteration is preserved.

Several new inequalities for the minimum eigenvalue of M-matrices

investigating the feasibility of a proposed model for geometric design of deployable arch structures

deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...

New inequalities for a class of differentiable functions

In this paper, we use the Riemann-Liouville fractionalintegrals to establish some new integral inequalities related toChebyshev's functional in the case of two differentiable functions.

Automatic Derivation of the Multinomial PCA Algorithm

Machine learning has reached a point where probabilistic methods can be understood as variations, extensions, and combinations of a small set of abstract themes, e.g., as different instances of the EM algorithm, or as exponential family methods. This allows the automatic derivation of algorithms customized for different models. One interesting new model is a multinomial version of PCA which has...