104views more  CAGD 2008»
9 years 6 months ago
Local energy-optimizing subdivision algorithms
In this paper a method is presented to fair the limit surface of a subdivision algorithm locally around an extraordinary point. The dominant six eigenvalues of the subdivision mat...
Ingo Ginkel, Georg Umlauf
81views more  SIAMCO 2002»
9 years 6 months ago
Stability of Planar Switched Systems: The Linear Single Input Case
Abstract. We study the stability of the origin for the dynamical system x(t) = u(t)Ax(t)+(1u(t))Bx(t), where A and B are two 2
Ugo V. Boscain
106views more  MOC 1998»
9 years 6 months ago
Bounds for eigenvalues and condition numbers in the p-version of the finite element method
In this paper, we present a theory for bounding the minimum eigenvalues, maximum eigenvalues, and condition numbers of stiffness matrices arising from the p-version of finite ele...
Ning Hu, Xian-Zhong Guo, I. Norman Katz
128views more  AMC 1999»
9 years 6 months ago
An elementary result in the stability theory of time-invariant nonlinear discrete dynamical systems
The stability of the equilibria of time-invariant nonlinear dynamical systems with discrete time scale is investigated. We present an elementary proof showing that in the case of ...
Weiye Li, Ferenc Szidarovszky
63views more  APPML 2005»
9 years 6 months ago
A fourth-order eigenvalue problem arising in viscoelastic flow
We consider a fourth-order eigenvalue problem on a semi-infinite strip which arises in the study of viscoelastic shear flow. The eigenvalues and eigenfunctions are computed by a s...
David O. Olagunju
132views more  JMLR 2006»
9 years 6 months ago
Accurate Error Bounds for the Eigenvalues of the Kernel Matrix
The eigenvalues of the kernel matrix play an important role in a number of kernel methods, in particular, in kernel principal component analysis. It is well known that the eigenva...
Mikio L. Braun
130views more  ISCI 2008»
9 years 7 months ago
Unified eigen analysis on multivariate Gaussian based estimation of distribution algorithms
Multivariate Gaussian models are widely adopted in continuous Estimation of Distribution Algorithms (EDAs), and covariance matrix plays the essential role in guiding the evolution...
Weishan Dong, Xin Yao
9 years 7 months ago
Laplace-Beltrami spectra as 'Shape-DNA' of surfaces and solids
This paper introduces a method to extract `Shape-DNA', a numerical fingerprint or signature, of any 2d or 3d manifold (surface or solid) by taking the eigenvalues (i.e. the s...
Martin Reuter, Franz-Erich Wolter, Niklas Peinecke
80views more  APPML 2006»
9 years 7 months ago
Unicyclic graphs with exactly two main eigenvalues
An eigenvalue of a graph G is called a main eigenvalue if it has an eigenvector the sum of whose entries is not equal to zero, and it is well known that a graph has exactly one ma...
Yaoping Hou, Feng Tian
141views more  WSCG 2001»
9 years 8 months ago
Exploiting Eigenvalues of the Hessian Matrix for Volume Decimation
In recent years the Hessian matrix and its eigenvalues became important in pattern recognition. Several algorithms based on the information they provide have been introduced. We r...
Jirí Hladuvka, Andreas König, Eduard G...