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ISSAC
2011
Springer
225views Mathematics» more  ISSAC 2011»
12 years 7 months ago
On the structure of compatible rational functions
A finite number of rational functions are compatible if they satisfy the compatibility conditions of a first-order linear functional system involving differential, shift and q-...
Shaoshi Chen, Ruyong Feng, Guofeng Fu, Ziming Li
JAT
2010
60views more  JAT 2010»
13 years 3 months ago
Growth properties of Nevanlinna matrices for rational moment problems
We consider rational moment problems on the real line with their associated orthogonal rational functions. There exists a Nevanlinna type parameterization relating to the problem,...
Adhemar Bultheel, Pablo González-Vera, Erik...
SIAMCO
2002
70views more  SIAMCO 2002»
13 years 4 months ago
Lossless and Dissipative Distributed Systems
This paper deals with linear shift-invariant distributed systems. By this we mean systems described by constant coefficient linear partial differential equations. We define dissipa...
Harish K. Pillai, Jan C. Willems
AUTOMATICA
2002
81views more  AUTOMATICA 2002»
13 years 4 months ago
A convex approach to the characterization of the frequency response of ellipsoidal plants
This paper deals with the frequency domain properties of an ellipsoidal family of rational functions, i.e. a family of rational functions whose coefficients depend affinely on an ...
Graziano Chesi, Andrea Garulli, Alberto Tesi, Anto...
JMIV
2006
58views more  JMIV 2006»
13 years 4 months ago
On the Probability of the Number of Solutions for the P4P Problem
This paper studies the multi-solution phenomenon for the perspective four point (P4P) problem from geometric and algebraic aspects. We give a pure geometric proof that the P4P pro...
Xiao-Shan Gao, Jianliang Tang
JGO
2008
83views more  JGO 2008»
13 years 4 months ago
Global minimization of rational functions and the nearest GCDs
This paper discusses the global minimization of rational functions with or without constraints. We studied the sum of squares (SOS) relaxations and their properties to solve this ...
Jiawang Nie, James Demmel, Ming Gu
DCG
2006
82views more  DCG 2006»
13 years 4 months ago
Volume Computation for Polytopes and Partition Functions for Classical Root Systems
This paper presents an algorithm to compute the value of the inverse Laplace transforms of rational functions with poles on arrangements of hyperplanes. As an application, we prese...
M. Welleda Baldoni-Silva, Matthias Beck, Charles C...
CAGD
2006
73views more  CAGD 2006»
13 years 4 months ago
Rational surfaces with linear normals and their convolutions with rational surfaces
It is shown that polynomial (or rational) parametric surfaces with a linear field of normal vectors are dual to graphs bivariate polynomials (or rational functions). We discuss th...
Maria Lucia Sampoli, Martin Peternell, Bert Jü...
CORR
2008
Springer
99views Education» more  CORR 2008»
13 years 4 months ago
Decomposing replicable functions
We describe an algorithm to decompose rational functions from which we determine the poset of groups fixing these functions.
John McKay, David Sevilla
ASAP
2008
IEEE
199views Hardware» more  ASAP 2008»
13 years 6 months ago
An efficient method for evaluating polynomial and rational function approximations
In this paper we extend the domain of applicability of the E-method [7, 8], as a hardware-oriented method for evaluating elementary functions using polynomial and rational functio...
Nicolas Brisebarre, Sylvain Chevillard, Milos D. E...