Results 141 to 150 of about 14,496,760 (259)
Fast sampling from a Gaussian Markov random field using Krylov subspace approaches [PDF]
Many applications in spatial statistics, geostatistics and image analysis require efficient techniques for sampling from large Gaussian Markov random fields (GMRFs).
Simpson, Daniel P. +2 more
core
Connecting randomized iterative methods with Krylov subspaces
Randomized iterative methods, such as the randomized Kaczmarz method, have gained significant attention for solving large-scale linear systems due to their simplicity and efficiency. Meanwhile, Krylov subspace methods have emerged as a powerful class of algorithms, known for their robust theoretical foundations and rapid convergence properties. Despite
Yonghan Sun, Deren Han, Jiaxin Xie
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Integral equation analysis of complex (M)MIC-structures with optimized system matrix decomposition and novel quadrature techniques [PDF]
Using integral equation methods for the analysis of complex (M)MIC structures, the computation and storage effort for the solution of the linear systems of equations with their fully populated matrices still forms the main bottleneck.
T. Vaupel, V. Hansen
doaj
An Introduction to Krylov Subspace Methods
Nowadays, many fields of study are have to deal with large and sparse data matrixes, but the most important issue is finding the inverse of these matrixes. Thankfully, Krylov subspace methods can be used in solving these types of problem. However, it is difficult to understand mathematical principles behind these methods.
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Forecasting linear dynamical systems using subspace methods [PDF]
A new procedure to predict with subspace methods is presented in this paper. It is based on combining multiple forecasts obtained from setting a range of values for a specic parameter that is typically xed by the user in the subspace methods literature ...
Alfredo García-Hiernaux
core
Information Retrieval Using Krylov Subspace Methods
In this dissertation we discuss how simple Krylov subspace methods can be used for information retrieval (IR). The dissertation consists of two parts.
Blom, Katarina
core
Krylov subspace methods for computing hydrodynamic interactions in brownian dynamics simulations. [PDF]
Ando T, Chow E, Saad Y, Skolnick J.
europepmc +1 more source
Regularization properties of Krylov subspace methods
The aim of this thesis is to study and describe regularizing properties of iterative Krylov subspace methods for finding a solution of linear algebraic ill- posed problems contaminated by white noise. First we explain properties of this kind of problems,
Kučerová, Andrea
core
Deflated Krylov Subspace Methods for Nearly Singular Linear Systems
This paper concerns the use of Krylov subspace methods for the solution of nearly singular nonsymmetric linear systems. We show that the Incomplete Orthogonalization Methods (IOM) in conjunction with certain deflation techniques of Stewart and Chan can ...
Symes, W.W., Meza,Juan Camilo
core
Fault tolerance in Krylov subspace methods [PDF]
The increasing complexity of modern high-performance computing (HPC) systems, with their vast number of processing units and extensive memory hierarchies, introduces significant challenges to system resilience, particularly in the face of soft errors ...
Pandit, Sandesh
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