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  • Search: subject:"Krylov subspace"
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Year of publication
Subject
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Krylov subspace methods 5 Krylov subspace 4 large indefinite linear systems 3 large scale nonconvex optimization 3 Model order reduction 2 preconditioners 2 Adaptive truncation criterion 1 Arnoldi Process 1 CAR 1 CR 1 Exponential integrators 1 Fractional differential equation 1 Global Krylov subspace 1 Krylov-subspace methods 1 LQ factorization 1 LSMR 1 Lanczos process 1 Large scale nonconvex optimization 1 Large scale optimization 1 Linesearch-based truncated Newton methods 1 MINARES 1 MINRES 1 Mathematical programming 1 Mathematische Optimierung 1 Matrix function 1 Matrix functions 1 Model-order reduction 1 Moment matching 1 Multiple points moment matching 1 Multiple right-hand sides 1 Newton–Krylov methods 1 Nonconvex problems 1 Padé approximations 1 Parameter system 1 Preconditioners 1 Preconditioning 1 Projection technique 1 QR decomposition 1 QR factorization 1 Rational Krylov subspace 1
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Online availability
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Undetermined 7 Free 4
Type of publication
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Article 7 Book / Working Paper 4
Type of publication (narrower categories)
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Arbeitspapier 1 Article in journal 1 Aufsatz in Zeitschrift 1 Graue Literatur 1 Non-commercial literature 1 Working Paper 1
Language
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Undetermined 7 English 4
Author
All
Fasano, Giovanni 5 Roma, Massimo 5 Caliciotti, Andrea 1 Chu, Chia-Chi 1 Faßbender, Heike 1 Feng, Lihong 1 Feng, Wu-Shiung 1 Garrappa, Roberto 1 Hochbruck, Marlis 1 Lai, Ming-Hong 1 Montoison, Alexis 1 Nash, Stephen G. 1 Niehoff, Jörg 1 Orban, Dominique 1 Popolizio, Marina 1 Saunders, Michael A. 1 Soppa, Andreas 1
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Institution
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Dipartimento di Management, Università Ca' Foscari Venezia 2 Dipartimento di Ingegneria Informatica, Automatica e Gestionale "Antonio Ruberti", Facoltà di Ingegneria dell'Informazione Informatica e Statistica 1
Published in...
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Mathematics and Computers in Simulation (MATCOM) 5 Working Papers / Dipartimento di Management, Università Ca' Foscari Venezia 2 Computational Optimization and Applications 1 DIAG Technical Reports 1 Les cahiers du GERAD 1 Operations research letters 1
Source
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RePEc 9 ECONIS (ZBW) 2
Showing 1 - 10 of 11
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MINARES : an iterative solver for symmetric linear systems
Montoison, Alexis; Orban, Dominique; Saunders, Michael A. - 2023
Persistent link: https://www.econbiz.de/10014368430
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An estimation of the condition number for a class of indefinite preconditioned matrices
Fasano, Giovanni; Roma, Massimo - Dipartimento di Ingegneria Informatica, Automatica e … - 2015
-product of Krylov-subspace solvers, as well as by applying L-BFGS updates. Moreover, our proposal is also suited for the solution …
Persistent link: https://www.econbiz.de/10011155355
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An adaptive truncation criterion, for linesearch-based truncated Newton methods in large scale nonconvex optimization
Caliciotti, Andrea; Fasano, Giovanni; Nash, Stephen G.; … - In: Operations research letters 46 (2018) 1, pp. 7-12
Persistent link: https://www.econbiz.de/10011807847
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A Class of Preconditioners for Large Indefinite Linear Systems, as by-product of Krylov subspace Methods: Part I
Fasano, Giovanni; Roma, Massimo - Dipartimento di Management, Università Ca' Foscari Venezia - 2011
-product of Krylov subspace solvers. Each preconditioner in our class is identified by setting the values of a pair of parameters …
Persistent link: https://www.econbiz.de/10009151011
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A Class of Preconditioners for Large Indefinite Linear Systems, as by-product of Krylov subspace Methods: Part II
Fasano, Giovanni; Roma, Massimo - Dipartimento di Management, Università Ca' Foscari Venezia - 2011
latter was constructed by using information from a Krylov subspace method, adopted to solve the large symmetric linear system … independent of the choice of the Krylov subspace method adopted, proved to be effective also when solving sequences of slowly …
Persistent link: https://www.econbiz.de/10009151012
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Model-order reductions for MIMO systems using global Krylov subspace methods
Chu, Chia-Chi; Lai, Ming-Hong; Feng, Wu-Shiung - In: Mathematics and Computers in Simulation (MATCOM) 79 (2008) 4, pp. 1153-1164
This paper presents theoretical foundations of global Krylov subspace methods for model order reductions. This method … is an extension of the standard Krylov subspace method for multiple-inputs multiple-outputs (MIMO) systems. By employing …
Persistent link: https://www.econbiz.de/10010748734
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Preconditioning Newton–Krylov methods in nonconvex large scale optimization
Fasano, Giovanni; Roma, Massimo - In: Computational Optimization and Applications 56 (2013) 2, pp. 253-290
solution of large scale indefinite linear systems by using a Krylov subspace method, and describe the iterative construction of … Krylov subspace method is used, as by product, to provide an approximate inverse preconditioner. Then, we experience our … use a Krylov subspace method to both approximately solve the Newton equation and to construct the preconditioner to be …
Persistent link: https://www.econbiz.de/10010998360
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Machine tool simulation based on reduced order FE models
Faßbender, Heike; Soppa, Andreas - In: Mathematics and Computers in Simulation (MATCOM) 82 (2011) 3, pp. 404-413
considered here. Several Krylov subspace methods for first or second-order systems were tested. Numerical examples comparing our … systems emerged. This work concentrates on the reduction of certain FE systems arising in machine tool simulation with Krylov … subspace methods. The main goal of this work is to discuss whether these methods are suitable for the type of application …
Persistent link: https://www.econbiz.de/10011050174
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On the use of matrix functions for fractional partial differential equations
Garrappa, Roberto; Popolizio, Marina - In: Mathematics and Computers in Simulation (MATCOM) 81 (2011) 5, pp. 1045-1056
The main focus of this paper is the solution of some partial differential equations of fractional order. Promising methods based on matrix functions are taken in consideration. The features of different approaches are discussed and compared with results provided by classical convolution...
Persistent link: https://www.econbiz.de/10010749728
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Approximation of matrix operators applied to multiple vectors
Hochbruck, Marlis; Niehoff, Jörg - In: Mathematics and Computers in Simulation (MATCOM) 79 (2008) 4, pp. 1270-1283
Krylov subspace methods combined with a QR decomposition of these vectors. This problem arises in the implementation of …
Persistent link: https://www.econbiz.de/10011051231
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