TCS
2008
13 years 10 months ago
2008
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...
ADCM
1998
13 years 11 months ago
1998
Using the framework provided by Clifford algebras, we consider a noncommutative quotient-difference algorithm for obtaining the elements of a continued fraction corresponding to...
PE
2000
Springer
13 years 11 months ago
2000
Springer
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...
AAECC
2004
Springer
13 years 11 months ago
2004
Springer
We present new algorithms for the inverse, division, and square root of power series. The key trick is a new algorithm
JSC
2008
13 years 11 months ago
2008
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...
EOR
2006
13 years 11 months ago
2006
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...
CORR
2008
Springer
13 years 11 months ago
2008
Springer
Efficient algorithms are known for many operations on truncated power series (multiplication, powering, exponential, . . . ). Composition is a more complex task. We isolate a larg...