Here first we collect and develop necessary background on time scales required for this article. Then we present time scales integral inequalities of types: Poincaré, Sobolev, Opial, Ostrowski and Hilbert–Pachpatte. We give also the generalized analogs of all these inequalities involving high order delta derivatives of functions on time scales. We finish with lots of applications: all these ine...

In the Q,Z algorithm the eigenvalues of Ax = ABx are computed via a reduction to the form & = AEx where A" and E are upper triangular. The eigenvalues are given by hi = aii/bii . It is shown that when the pencil A" hg is singular or nearly -_ N singular a value of hi may have no significance even when aii and cii are of full size.

Recently, a kind of eigensolvers based on contour integral were developed for computing the eigenvalues inside a given region in the complex plane. The CIRR method is a classic example among this kind of methods. In this paper, we propose a contour-integral based QZ method which is also devoted to computing partial spectrum of generalized eigenvalue problems. Our new method takes advantage of t...

Gene expression profiles of Digitaria sanguinalis infected by Curvularia eragrostidis strain QZ-2000 at two concentrations of conidia and two dew durations were analyzed by cDNA amplified fragment length polymorphisms (cDNA-AFLP). Inoculum strength was more determinant of gene expression than dew duration. A total of 256 primer combinations were used for selective amplification and 1214 transcr...

The basement of eastern Mexico comprises Grenvillian-age granulite-facies metamorphic rocks. Oaxacan Complex represents the largest outcrop belt this in Mexico. In work, southwestern garnets are studied from a petrographical, geochemical, and geothermobarometrical perspective for first time. display different grain sizes nucleated polyphase evolution. almandine end member proportion is similar ...

Abstract The quality of the Colli Albani volcanic soils has certainly contributed to vine cultivars hence name one oldest wines (i.e., Alban wine). alkali up 15 wt%, SiO2 ≤ 52 wt% and emplacement at high temperature (≤ 600 °C) are bedrock features that have deeply influenced soil-forming processes in vineyards. However, peculiar not well known. Field survey textural, mineralogical, chemical dat...

Abstract We identify a relationship between the solutions of nonsymmetric algebraic $$T$$ T -Riccati equation ( -NARE) and deflating subspaces palindromic matrix pencil, obtained by arranging coefficients -NARE. The interplay -NAREs pencils allows one to derive both theoretical properties equation, new methods ...

We consider the problem of approximating the generalized Schur decomposition of a matrix pencil A XB by a family of differentiable orthogonal transformations. It is shown that when B is nonsingular this approach is feasible and can be fully expressed as an autonomous differential system. When B is singular, we show that the location of zero diagonal entries of B affects the feasibility of such ...