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» Computing the Permanent of (Some) Complex Matrices
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COCO
2005
Springer
106views Algorithms» more  COCO 2005»
13 years 10 months ago
The Complexity of the Inertia and Some Closure Properties of GapL
The inertia of an n × n matrix A is defined as the triple (i+(A), i−(A), i0(A)), where i+(A), i−(A), and i0(A) are the number of eigenvalues of A, counting multiplicities, w...
Thanh Minh Hoang, Thomas Thierauf
ECCC
2002
103views more  ECCC 2002»
13 years 4 months ago
Monotone complexity and the rank of matrices
We shall give simpler proofs of some lower bounds on monotone computations. We describe a simple condition on combinatorial structures, such that the rank of the matrix associated...
Pavel Pudlák
ISSAC
2007
Springer
131views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Some recent progress in exact linear algebra and related questions
We describe some major recent progress in exact and symbolic linear algebra. These advances concern the improvement of complexity estimates for fundamental problems such as linear...
Gilles Villard
ISSAC
1997
Springer
142views Mathematics» more  ISSAC 1997»
13 years 9 months ago
The Structure of Sparse Resultant Matrices
Resultants characterize the existence of roots of systems of multivariate nonlinear polynomial equations, while their matrices reduce the computation of all common zeros to a prob...
Ioannis Z. Emiris, Victor Y. Pan
NIPS
2007
13 years 6 months ago
What makes some POMDP problems easy to approximate?
Point-based algorithms have been surprisingly successful in computing approximately optimal solutions for partially observable Markov decision processes (POMDPs) in high dimension...
David Hsu, Wee Sun Lee, Nan Rong