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TCS
2011
13 years 2 days ago
Dynamic normal forms and dynamic characteristic polynomial
Abstract. We present the first fully dynamic algorithm for computing the characteristic polynomial of a matrix. In the generic symmetric case our algorithm supports rank-one updat...
Gudmund Skovbjerg Frandsen, Piotr Sankowski
JSC
2010
155views more  JSC 2010»
13 years 3 months ago
Algorithms for solving linear systems over cyclotomic fields
We consider the problem of solving a linear system Ax = b over a cyclotomic field. What makes cyclotomic fields of special interest is that we can easily find a prime p that sp...
Liang Chen, Michael B. Monagan
ATAL
2010
Springer
13 years 6 months ago
Planning against fictitious players in repeated normal form games
Planning how to interact against bounded memory and unbounded memory learning opponents needs different treatment. Thus far, however, work in this area has shown how to design pla...
Enrique Munoz de Cote, Nicholas R. Jennings
ISSAC
1997
Springer
157views Mathematics» more  ISSAC 1997»
13 years 9 months ago
On the Worst-case Complexity of Integer Gaussian Elimination
Gaussian elimination is the basis for classical algorithms for computing canonical forms of integer matrices. Experimental results have shown that integer Gaussian elimination may...
Xin Gui Fang, George Havas