Nonnegative realization of complex spectra

Nonnegative realization of complex spectra

Symmetric nonnegative realization of spectra

A perturbation result, due to R. Rado and presented by H. Perfect in 1955, shows how to modify r eigenvalues of a matrix of order n, r ≤ n, via a perturbation of rank r, without changing any of the n − r remaining eigenvalues. This result extended a previous one, due to Brauer, on perturbations of rank r = 1. Both results have been exploited in connection with the nonnegative inverse eigenvalue...

On nonnegative realization of partitioned spectra

We consider partitioned lists of real numbers Λ = {λ1, λ2, . . . , λn}, and give efficient and constructive sufficient conditions for the existence of nonnegative and symmetric nonnegative matrices with spectrum Λ. Our results extend the ones given in [R.L. Soto and O. Rojo. Applications of a Brauer theorem in the nonnegative inverse eigenvalue problem. Linear Algebra Appl., 416:844– 856, 2006....

Software realization of the complex spectra analysis algorithm in R

Software realization of complex spectra analysis algorithm is proposed, which is based on using the non-linear minimization of the sum of squared residuals and set of criteria, which check their statistical properties.

Controlled Realization of Complex Objects

This paper Is astudy in the tactics of content selection and realization at the micro-planning level. It presents a .technique for controlling the content and phrasing of complex sentences through• the use of data derived from a parser that has read through a corpus and taken note of which variations do and do not occur in the realization of the concepts in the genre the corpus is taken from. T...