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108
Voted
ISSAC
2009
Springer
150views Mathematics» more  ISSAC 2009»
15 years 7 months ago
On finding multiplicities of characteristic polynomial factors of black-box matrices
We present algorithms and heuristics to compute the characteristic polynomial of a matrix given its minimal polynomial. The matrix is represented as a black-box, i.e., by a functi...
Jean-Guillaume Dumas, Clément Pernet, B. Da...
101
Voted
TLCA
2007
Springer
15 years 7 months ago
Polynomial Size Analysis of First-Order Functions
We present a size-aware type system for first-order shapely function definitions. Here, a function definition is called shapely when the size of the result is determined exactly...
Olha Shkaravska, Ron van Kesteren, Marko C. J. D. ...
98
Voted
GMP
2008
IEEE
234views Solid Modeling» more  GMP 2008»
15 years 29 days ago
Parametric Polynomial Minimal Surfaces of Degree Six with Isothermal Parameter
Abstract. In this paper, parametric polynomial minimal surfaces of degree six with isothermal parameter are discussed. We firstly propose the sufficient and necessary condition of ...
Gang Xu, Guozhao Wang
117
Voted
CORR
2010
Springer
147views Education» more  CORR 2010»
15 years 28 days ago
Chunky and Equal-Spaced Polynomial Multiplication
Finding the product of two polynomials is an essential and basic problem in computer algebra. While most previous results have focused on the worst-case complexity, we instead emp...
Daniel S. Roche
108
Voted
ER
2006
Springer
102views Database» more  ER 2006»
15 years 4 months ago
Modeling Considerations for Product Ontology
An issue in utilizing ontology in product information domain is how to make it operational. This requires considering the features to be included in a pragmatic product information...
Hyunja Lee, Junho Shim, Suekyung Lee, Sang-goo Lee