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» In Praise of Numerical Computation
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MCS
2008
Springer
15 years 6 months ago
Approximation of matrix operators applied to multiple vectors
In this paper we propose a numerical method for approximating the product of a matrix function with multiple vectors by Krylov subspace methods combined with a QR decomposition of...
Marlis Hochbruck, Jörg Niehoff
SIGMETRICS
2008
ACM
144views Hardware» more  SIGMETRICS 2008»
15 years 6 months ago
Co-designing the failure analysis and monitoring of large-scale systems
Large-scale distributed systems provide the backbone for numerous distributed applications and online services. These systems span over a multitude of computing nodes located at d...
Abhishek Chandra, Rohini Prinja, Sourabh Jain, Zhi...
EWC
2002
86views more  EWC 2002»
15 years 6 months ago
On Object-Oriented Frameworks and Coordinate Free Formulations of PDEs
An object-oriented (OO) framework for Partial tial Equations (PDEs) provides software abstractions for numerical simulation of PDEs. The design of such frameworks is not trivial, a...
Magne Haveraaen, Hans Z. Munthe-Kaas, Krister &Ari...
RC
2002
72views more  RC 2002»
15 years 6 months ago
Symbolic Preconditioning with Taylor Models: Some Examples
Deterministic global optimization with interval analysis involves - using interval enclosures for ranges of the constraints, objective, and gradient to reject infeasible regions, r...
R. Baker Kearfott, G. William Walster
NECO
2007
115views more  NECO 2007»
15 years 6 months ago
Training Recurrent Networks by Evolino
In recent years, gradient-based LSTM recurrent neural networks (RNNs) solved many previously RNN-unlearnable tasks. Sometimes, however, gradient information is of little use for t...
Jürgen Schmidhuber, Daan Wierstra, Matteo Gag...