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» Monotone complexity and the rank of matrices
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IPPS
1994
IEEE
13 years 10 months ago
Efficient Matrix Chain Ordering in Polylog Time
The matrix chain ordering problem is to find the cheapest way to multiply a chain of n matrices, where the matrices are pairwise compatible but of varying dimensions. Here we give ...
Phillip G. Bradford, Gregory J. E. Rawlins, Gregor...
CORR
2008
Springer
107views Education» more  CORR 2008»
13 years 6 months ago
The MIMO Iterative Waterfilling Algorithm
Abstract--This paper considers the noncooperative maximization of mutual information in the vector Gaussian interference channel in a fully distributed fashion via game theory. Thi...
Gesualdo Scutari, Daniel Pérez Palomar, Ser...
FSTTCS
2009
Springer
14 years 1 months ago
Arithmetic Circuits and the Hadamard Product of Polynomials
Motivated by the Hadamard product of matrices we define the Hadamard product of multivariate polynomials and study its arithmetic circuit and branching program complexity. We also...
Vikraman Arvind, Pushkar S. Joglekar, Srikanth Sri...
ISAAC
2007
Springer
158views Algorithms» more  ISAAC 2007»
14 years 22 days ago
On the Expressive Power of Planar Perfect Matching and Permanents of Bounded Treewidth Matrices
Valiant introduced some 25 years ago an algebraic model of computation along with the complexity classes VP and VNP, which can be viewed as analogues of the classical classes P and...
Uffe Flarup, Pascal Koiran, Laurent Lyaudet
DAGSTUHL
2006
13 years 8 months ago
Using fast matrix multiplication to solve structured linear systems
Structured linear algebra techniques enable one to deal at once with various types of matrices, with features such as Toeplitz-, Hankel-, Vandermonde- or Cauchy-likeness. Following...
Éric Schost, Alin Bostan, Claude-Pierre Jea...