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TCS
2008
10 years 12 months ago
Extension of Brzozowski's derivation calculus of rational expressions to series over the free partially commutative monoids
We introduce an extension of the derivatives of rational expressions to expressions denoting formal power series over partially commuting variables. The expressions are purely non...
Jean Berstel, Christophe Reutenauer
ADCM
1998
94views more  ADCM 1998»
11 years 1 months ago
On a vector q-d algorithm
Using the framework provided by Clifford algebras, we consider a noncommutative quotient-difference algorithm for obtaining the elements of a continued fraction corresponding to...
D. E. Roberts
PE
2000
Springer
101views Optimization» more  PE 2000»
11 years 1 months ago
On the convergence of the power series algorithm
In this paper we study the convergence properties of the power series algorithm, which is a general method to determine (functions of) stationary distributions of Markov chains. W...
Gerard Hooghiemstra, Ger Koole
AAECC
2004
Springer
120views Algorithms» more  AAECC 2004»
11 years 1 months ago
The Middle Product Algorithm I
We present new algorithms for the inverse, division, and square root of power series. The key trick is a new algorithm
Guillaume Hanrot, Michel Quercia, Paul Zimmermann
JSC
2008
73views more  JSC 2008»
11 years 1 months ago
Standard bases in K
In this paper we study standard bases for submodules of K[[t1, . . . , tm]][x1, . . . , xn]s respectively of their localisation with respect to a t-local monomial ordering. The mai...
Thomas Markwig
EOR
2006
61views more  EOR 2006»
11 years 1 months ago
Workload minimization in re-entrant lines
This paper is concerned with workload minimization in re-entrant lines with exponential service times and preemptive control policies. Using a numerical algorithm called the power...
Ger Koole, Auke Pot
CORR
2008
Springer
107views Education» more  CORR 2008»
11 years 1 months ago
Power Series Composition and Change of Basis
Efficient algorithms are known for many operations on truncated power series (multiplication, powering, exponential, . . . ). Composition is a more complex task. We isolate a larg...
Alin Bostan, Bruno Salvy, Éric Schost
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