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A block rational Arnoldi algorithm for multipoint passive model-order reduction of multiport RLC networks

Elfadel, Ling
1997 Proceedings of IEEE International Conference on Computer Aided Design (ICCAD) ICCAD-97  
The novel passivity-preserving modelorder reduction scheme is a block version of the rational Arnoldi algorithm 6, 7 .  ...  Passivity is the one circuit-theoretic property that is vital for the successful simulation of a large circuit netlist containing reduced-order models of its interconnect networks.  ...  Acknowledgments: A model-order reduction tool based on a multipoint block rational Arnoldi algorithm, using both real and complex expansion points and including procedures for the automatic generation  ... 
doi:10.1109/iccad.1997.643368 dblp:conf/iccad/ElfadelL97 fatcat:v5qtcmqpufbbbfih2ugrll2pgy

Efficient full-wave electromagnetic analysis via model-order reduction of fast integral transforms

Joel R. Phillips, Eli Chiprout, David D. Ling
1996 Proceedings of the 33rd annual conference on Design automation conference - DAC '96  
In this paper we demonstrate that an algorithm based on application of a novel model-order reduction scheme directly to the sparse model generated by a fast integral transform has significant advantages  ...  for frequency-and time-domain simulation.  ...  Jacob White of MIT and with Dr. Albert Ruehli. JRP wishes to thank the electrical simulation and modeling group of the IBM T. J.  ... 
doi:10.1145/240518.240590 dblp:conf/dac/PhilippsCL96 fatcat:eyrvwttjzvhllpe6gxqmi5rbja

Krylov subspace restart scheme for solving large-scale Sylvester equations

Mian Ilyas Ahmad, Imad Jaimoukha, Michalis Frangos
2010 Proceedings of the 2010 American Control Conference  
The suggested method is a novel restart scheme which improves further the computation efficiency and storage requirements of the standard Krylov subspace methods for the solution of largescale Sylvester  ...  In this paper we suggest the use of a Krylov subspace technique for the efficient lowrank approximate solution to large-scale Sylvester equations.  ...  The quality of the approximation of the reduced model depends on the selection of the bases W m and V m .  ... 
doi:10.1109/acc.2010.5531144 fatcat:xmdhvek6sfaknfkk4mn7kggevq

A mathematical biography of Danny C. Sorensen

Peter Benner, Mark Embree, Richard B. Lehoucq, C.T. Kelley
2012 Linear Algebra and its Applications  
On the occasion of his 65th birthday, we briefly recount Dan Sorensen's profound contributions to optimization, numerical linear algebra, and model order reduction for dynamical systems.  ...  to Krylov subspace-based MOR methods for large-scale systems.  ...  "A structured quasi-Arnoldi procedure for model order reduction of second-order systems" by Bai, Lin, Li, and Su deals with a model reduction approach for second-order dynamical systems that arise, e.g  ... 
doi:10.1016/j.laa.2012.01.031 fatcat:hm3b7fqamvcxjphqletg7ze7va

MATEX

Hao Zhuang, Shih-Hung Weng, Jeng-Hau Lin, Chung-Kuan Cheng
2014 Proceedings of the The 51st Annual Design Automation Conference on Design Automation Conference - DAC '14  
First, the whole simulation task is divided into subtasks based on decompositions of current sources, in order to reduce the computational overheads.  ...  MATEX overcomes the stiff-ness hinder of previous matrix exponential-based circuit simulator by rational Krylov subspace method, which leads to larger step sizes with smaller dimensions of Krylov subspace  ...  Previous works [7, [14] [15] [16] have been made in order to improve circuit simulation by novel algorithms, parallel processing and distributed computing.  ... 
doi:10.1145/2593069.2593160 dblp:conf/dac/ZhuangWLC14 fatcat:zouipqyy2bbixmqaq6qx4lrxpq

Parameterized model order reduction via a two-directional Arnoldi process

Yung-Ta Li, Zhaojun Bai, Yangfeng Su, Xuan Zeng
2007 Computer-Aided Design (ICCAD), IEEE International Conference on  
This paper presents a multiparameter momentmatching based model order reduction technique for parameterized interconnect networks via a novel two-directional Arnoldi process.  ...  It is referred to as a PIMTAP algorithm, which stands for Parameterized Interconnect Macromodeling algorithm via a Two-directional Arnoldi Process.  ...  In summary, the following algorithm is for computing the reduced system (6) satisfying the moment-matching property (7) : PIMTAP ALGORITHM 1) Run Arnoldi algorithm with A [1] and b [1] to construct  ... 
doi:10.1109/iccad.2007.4397373 dblp:conf/iccad/LiBSZ07 fatcat:hvm4fiqhz5fc7gv4ay7m4loxh4

Mathematical Modeling of Transient Responses in a Large Scale Multiconductor System

Caiwang Sheng, Xiaoqing Zhang
2014 Journal of Applied Mathematics  
It is based on the block Arnoldi algorithm for calculating congruence transformation matrix.  ...  This paper proposes a reduced-order model for the large scale circuits representing the multiconductor systems.  ...  Reduced-Order Model For simplifying the lightning transient calculation of the large scale RLC network, the ROA is employed here. The algorithm is based on the block Arnoldi method.  ... 
doi:10.1155/2014/484189 fatcat:x4qfkwu23jgrzegc422uv5seey

A method for generating rational interpolant reduced order models of two-parameter linear systems

D.S. Weile, E. Michielssen, E. Grimme, K. Gallivan
1999 Applied Mathematics Letters  
The new technique is a generalization of recently developed algorithms for one-parameter systems that are based on projections onto Krylov subspaces defined by the descriptor matrices. (~)  ...  A model order reduction technique for systems depending on two parameters is developed.  ...  For instance, the Rational Krylov family for one-parameter problems includes: the multipoint Rational Arnoldi, Rational Lanczos, Dual Rational Arnoldi, and Rational Power methods.  ... 
doi:10.1016/s0893-9659(99)00063-4 fatcat:7pa6p4mud5ghfimjfixonw4zlu

Fast simulation of transient temperature distributions in power modules using multi-parameter model reduction

Xiaojun Dong, Antonio Griffo, Jiabin Wang
2019 The Journal of Engineering  
The method, based on the block Arnoldi method, is illustrated with reference to a multi-chip SiC power module mounted on a forced air-cooled finned heat sink with a variable mass flow rate.  ...  Abstract: In this study, a three-dimensional model with multi-parameter order reduction is applied to the thermal modelling of power electronics modules with complex geometries.  ...  the block Krylov subspaces, Arnoldi's orthogonalisation, which is shown in Table 1 , is carried to extend the classical Arnoldi algorithm to block Krylov subspaces.  ... 
doi:10.1049/joe.2018.8094 fatcat:oira5gtpzndkxhwve54f3c5bwe

Robust Formulations of the Cauchy Method Suitable for Microwave Duplexers Modeling

D. Traina, G. Macchiarella, T.K. Sarkar
2007 IEEE transactions on microwave theory and techniques  
A novel formulation using the QR algorithm on the two characteristic functions of the duplexer and a suitable combination of the QR method and the precondition technique are then presented.  ...  The techniques employed are: the change of polynomial basis into the Krylov subspace and the precondition technique, both acting on the system matrix of the classic Cauchy method formulation.  ...  Van Loan, Cornell University, Ithaca, NY, for the precious discussions on numerical methods and all the reviewers for their valuable comments.  ... 
doi:10.1109/tmtt.2007.895394 fatcat:2kumwm3xpvcf5g6hocdthq25xi

Approximation of large-scale dynamical systems for Bench-mark Collection

S K S
2019 JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES  
In this contribution, this process done by using some four algorithms: modal techniques, balanced truncation, IRKA (Iterative Rational Krylov Algorithm) and RK (Rational Krylov). a motivation of this section  ...  So, there is nevertheless want for novel model order reduction approach [XXXIX]. This paper gives innovative MOR procedures based on fully MATLAB envirinment for the linear systems and non-linear.  ...  In this analysis, we have been used four algorithms: modal techniques, balanced truncation, IRKA (Iterative Rational Krylov Algorithm) and RK (Rational Krylov) for model order reduction.  ... 
doi:10.26782/jmcms.2019.06.00016 fatcat:3vviq533xzfybhxgdaefrie4y4

Basic principles and aims of model order reduction in compliant mechanisms

M. Rösner, R. Lammering
2011 Mechanical Sciences  
Based on system theory, underlying representations of the dynamical system are introduced from which the general reduced order model is derived by projection.  ...  Singular value decomposition, condensation-based and Krylov subspace methods representing three order reduction methods are reviewed and their advantages and disadvantages are outlined in this paper.  ...  This work is supported by the German Research Foundation (DFG) as part of the research project "SPP 1476 -Small machine tools for small workpieces" which is gratefully acknowledged. Edited by: J. A.  ... 
doi:10.5194/ms-2-197-2011 fatcat:z33deog5qnbeznqs6rvqjbwwga

A thick-restarted block Arnoldi algorithm with modified Ritz vectors for large eigenproblems

Wei Jiang, Gang Wu
2010 Computers and Mathematics with Applications  
In this paper, we exploit certain modified Ritz vectors to take the place of Ritz vectors in the thick-restarted block Arnoldi algorithm, and propose a modified thickrestarted block Arnoldi algorithm for  ...  The block Arnoldi method is one of the most commonly used techniques for large eigenproblems.  ...  James Baglama and Prof. Yunkai Zhou for providing us MATLAB files of the augmented block Householder Arnoldi algorithm [10] and the block Krylov-Schur algorithm [17] . We also thank Prof.  ... 
doi:10.1016/j.camwa.2010.05.034 fatcat:x2m5iu3lnjdznptzcexmrxsdii

Passivity preserving model reduction via a structured Lanczos method

Heike Fassbender, Peter Benner
2006 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control  
In order to guarantee a numerical simulation in reasonable time, the dynamical system is reduced to one of the same form which allows simulation of and control-design for the reduced-order state-space  ...  Usually one would like to obtain a reduced-order system that has the same properties as the original system. In this paper, we will consider stable and passive systems.  ...  The unused degrees of freedom in the approximation are used to generate a passive reduced-order model for a passive RLC network. This method is based on the Arnoldi algorithm [21] .  ... 
doi:10.1109/cacsd-cca-isic.2006.4776616 fatcat:hs6nrupumvfibjanuqpbw257ka

Time Integration and Steady-State Continuation for 2d Lubrication Equations

Philippe Beltrame, Uwe Thiele
2010 SIAM Journal on Applied Dynamical Systems  
In particular, we present a time integration algorithm based on exponential propagation and an algorithm for steady-state continuation.  ...  Lubrication equations allow to describe many structurin processes of thin liquid films. We develop and apply numerical tools suitable for their analysis employing a dynamical systems approach.  ...  Tuckerman for fruitful discussions.  ... 
doi:10.1137/080718619 fatcat:qgxfyveodrhgjnlk4ey7bhlz34
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