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A New Algorithm to Compute the Square Roots of r -circulant Matrices
r-circulant matrices primary square root reduced form Schur decomposition
2011/12/27
A simplified form of r-circulant matrices is investigated , and a new algorithm to compute the square roots of r -circulant matrices is obtained using the properties of r -circulant matrices. In st...
Tight Approximation Ratio of a General Greedy Splitting Algorithm for the Minimum k-Way CutProblem
k-way cut Approximation algorithm
2011/6/15
For an edge-weighted connected undirected graph, the minimum k-way cut problem is to find a subset of edges of minimum total weight whose removal separates the graph into k connected components. The p...
An Algorithm to Recognise Small Seifert Fiber Spaces
small Seifert fibered space recognition algorithm Heegaard splitting almost normal surface
2010/2/26
The homeomorphism problem is, given two compact n-manifolds, is there an algorithm to decide if the manifolds are homeomorphic or not. The homeomorphism problem has been solved for many important clas...
Differential Rational Normal Forms and a Reduction Algorithm for Hyperexponential Functions
Normal forms Rational functions Hyperexponential functions Reduction algorithms
2004/7/4
We describe di®erential rational normal forms of a rational function and their properties. Based on these normal forms, we present an algorithm which, given a hyperexponential function T (x), con...
A modular algorithm for computing greatest common right divisors of Ore polynomials
modular algorithm computing greatest common right divisors Ore polynomials
1997/9/3
This paper presents a modular algorithm for computing the greatest common right divisor (gcrd) of two univariate Ore polynomials over Z[t]. The subresultants of Ore polynomials are used to compute the...