Recently Chu, Liu, and Mehrmann developed an O(n3) structure preserving method for computing the Hamiltonian real Schur form of a Hamiltonian matrix. This paper outlines an alternate derivation of the method and alternate explanation of why the method works. Our approach places emphasis eigenvalue swapping and relies less on matrix manipulations.

Abstmet-This paper introduces a frequency-weighted frequency-weighted balanced reduction method controller reduction scheme which offcrs good closed-loop (Enns, 1984a, b) and the idea of representing a stability under use of the reduced order controller. By combining the use of a stable fractional representation of the controller as a stable coprime factorization (Liu controller with a frequenc...

This article gives an introduction to arithmetic motivic integration in the context of p-adic integrals that arise in representation theory. A special case of the fundamental lemma is interpreted as an identity of Chow motives.

Seasonal dynamic pattern analysis on global FPAR derived from AVHRR GIMMS NDVI Dailiang Peng a b , Bing Zhang a b , Liangyun Liu a b , Dongmei Chen c , Hongliang Fang d & Yong Hu a a Center for Earth Observation and Digital Earth , Chinese Academy of Sciences , Beijing , China b Key Laboratory of Digital Earth , Chinese Academy of Sciences , Beijing , China c Department of Geography , Queen's U...

There are various types of uncertainty in the real world. This is a motivation to investigate the behavior of uncertain phenomena. Random phenomena is one class of objective uncertain phenomena which has been well studied. Probability theory is an efficient tool to study the behavior of random phenomena. Besides randomness, fuzziness is a basic type of subjective uncertainty initiated by Zadeh....

In [Z.Wei, S. Yao, L. Liu, The convergence properties of some new conjugate gradient methods, Applied Mathematics and Computation 183 (2006) 1341–1350], Wei et al. proposed a new conjugate gradient method called WYL method which has good numerical experiments and some excellent properties such as b k P 0. In this paper, we prove that while tk 6 1 c 2L kgkk kdkk , the sufficient descent conditio...

Two species groups (the grandiculus- and the metacarpalis-group) of genus Apanteles Foerster (Hymenoptera, Braconidae, Microgastrinae) from China are revised and keyed, with eight new species, namely, A. muticiculus Liu & Chen, sp. n., A. parvus Liu & Chen, sp. n. and A. flavicapus Liu & Chen, sp. n. of the grandiculus-group; A. transtergum Liu & Chen, sp. n., A. malleus Liu & Chen, sp. n., A. ...

The species of the genera Nipponoserica Nomura, 1973 and Paraserica Reitter, 1896 from China are revised. The following eight new species are described from China: Paraserica camillerii Ahrens, Fabrizi, & Liu, sp. n., P. mupuensis Ahrens, Fabrizi, & Liu, sp. n., P. wangi Ahrens, Fabrizi, & Liu, sp. n., Nipponoserica alloshanghaiensis Ahrens, Fabrizi, & Liu, sp. n., N. anjiensis Ahrens, Fabrizi,...

The lacteus-, mycetophilus- and laspeyresiella-groups of the genus Apanteles Foerster (Hymenoptera, Braconidae, Microgastrinae) are newly recorded from China with eight new species being described, namely A. basicavus Liu & Chen, sp. n. of the lacteus-group; A. brevivena Liu & Chen, sp. n. and A. parapholetesor Liu & Chen, sp. n. of the mycetophilus-group; A. artustigma Liu & Chen, sp. n., A. h...

The following new taxa of Meconematini from Guangxi province were described: Sinothaumaspis damingshanicus Wang, Liu, Li gen. & sp. nov., Aphlugiolopsis punctipennis Wang, Liu, Li gen. & sp. nov., Eoxizicus (Eoxizicus) curvicercus Wang, Liu, Li sp. nov., Meconemopsis paraquadrinotata Wang, Liu, Li sp. nov., Neocrytopsis? unicolor Wang, Liu, Li sp. nov., Xiphidiopsis (Dinoxiphidiopsis) expressa ...