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» The Complexity of the Annihilating Polynomial
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ATAL
2005
Springer
15 years 11 months ago
A polynomial algorithm for decentralized Markov decision processes with temporal constraints
One of the difficulties to adapt MDPs for the control of cooperative multi-agent systems, is the complexity issued from Decentralized MDPs. Moreover, existing approaches can not ...
Aurélie Beynier, Abdel-Illah Mouaddib
JAT
2010
39views more  JAT 2010»
15 years 4 months ago
On spectral polynomials of the Heun equation. I
The classical Heun equation has the form  Q(z) d2 dz2 + P (z) d dz + V (z) ff S(z) = 0, where Q(z) is a cubic complex polynomial, P (z) is a polynomial of degree at most 2 and ...
Boris Shapiro, Milos Tater
ISSAC
1998
Springer
101views Mathematics» more  ISSAC 1998»
15 years 10 months ago
Efficient Algorithms for Computing the Nearest Polynomial with Constrained Roots
Continuous changes of the coefficients of a polynomial move the roots continuously. We consider the problem finding the minimal perturbations to the coefficients to move a root to...
Markus A. Hitz, Erich Kaltofen
FOCS
1991
IEEE
15 years 9 months ago
Computing Sums of Radicals in Polynomial Time
For sums of radicals Pk i=1 i di p i, where i; i are elements of some real algebraic number eld Q( ); di p i 2 R; we present a deterministic polynomial time algorithm to decide wh...
Johannes Blömer
CORR
2010
Springer
147views Education» more  CORR 2010»
15 years 6 months 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