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» Matrix algebra and applicative programming
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SIAMSC
2008
148views more  SIAMSC 2008»
13 years 7 months ago
Multilevel Adaptive Aggregation for Markov Chains, with Application to Web Ranking
A multilevel adaptive aggregation method for calculating the stationary probability vector of an irreducible stochastic matrix is described. The method is a special case of the ada...
Hans De Sterck, Thomas A. Manteuffel, Stephen F. M...
NIPS
2003
13 years 9 months ago
Sparse Representation and Its Applications in Blind Source Separation
In this paper, sparse representation (factorization) of a data matrix is first discussed. An overcomplete basis matrix is estimated by using the K−means method. We have proved ...
Yuanqing Li, Andrzej Cichocki, Shun-ichi Amari, Se...
IPPS
2009
IEEE
14 years 2 months ago
Fast development of dense linear algebra codes on graphics processors
—We present an application programming interface (API) for the C programming language that facilitates the development of dense linear algebra algorithms on graphics processors a...
M. Jesús Zafont, Alberto F. Martín, ...
ECEASST
2006
103views more  ECEASST 2006»
13 years 7 months ago
Petri Nets and Matrix Graph Grammars: Reachability
This paper contributes in two directions. First, several concepts of our matrix approach to graph transformation [1,2] such as coherence and minimal initial digraph are applied to ...
Juan de Lara, Pedro Pablo Pérez Velasco
CDC
2008
IEEE
14 years 2 months ago
Strong solutions and maximal solutions of generalized algebraic Riccati equations
— In this paper, we present a comparison theorem for the solutions of two generalized algebraic Riccati equations (GAREs) coming from two different systems. We show that the so-c...
Xin Xin