A Survey on Methods for Computing Matrix Exponentials in Numerical Schemes for ODEs

机译：ODE数值方案中矩阵指数的计算方法综述

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摘要

This paper takes a look at numerical procedures for computing approximation of the exponential of a matrix of large dimension. Existing approximation methods to evaluate the exponentiation of a matrix will be reviewed paying more attention to Krylov subspace methods and Schur factorization techniques. Some theoretical results on the bounds for the entries of the exponential matrix and some implementation details will be also discussed.

机译：本文研究了用于计算大尺寸矩阵的指数近似值的数值程序。将审查现有的近似方法来评估矩阵的幂，重点是Krylov子空间方法和Schur因式分解技术。还将讨论有关指数矩阵项边界的一些理论结果以及一些实现细节。

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《International Conference on Computational Science - ICCA 2003 Pt.2 Jun 2-4, 2003 Melbourne, Australia and St. Petersburg, Russia》|2003年|p.111-120|共10页
会议地点 Melbourne(AU) St. Petersburg(RU);Melbourne(AU) St. Petersburg(RU)
作者
Nicoletta Del Buono; Luciano Lopez;
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作者单位

Dipartimento Interuniversitario di Matematica, Universita degli Studi di Bari Via E. Orabona, 4 -I-70125 Bari ITALY;

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原文格式 PDF
正文语种 eng
中图分类自动化技术、计算机技术;
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专利

1. Numerical and Soft Computing Methods for Characteristic Value Problems of ODE and ODEs Systems [J] . Mehmet Tarik Atay, Biagio Simonetti, Safa Bozkurt Coskun, Mathematical Problems in Engineering . 2013,第pta10期

机译：ODE和ODEs系统特征值问题的数值和软计算方法
2. Numerical and Soft Computing Methods for Characteristic Value Problems of ODE and ODEs Systems [J] . Mehmet TarikAtay, BiagioSimonetti, Safa BozkurtCoskun, Mathematical Problems in Engineering: Theory, Methods and Applications . 2013,第5期

机译：ODE和ODEs系统特征值问题的数值和软计算方法
3. Numerical and Soft Computing Methods for Characteristic Value Problems of ODE and ODEs Systems [J] . Mehmet TarikAtay, BiagioSimonetti, Safa BozkurtCoskun, Mathematical Problems in Engineering: Theory, Methods and Applications . 2013,第2期

机译：ODE和ODEs系统特征值问题的数值和软计算方法
4. A Survey on Methods for Computing Matrix Exponentials in Numerical Schemes for ODEs [C] . International conference on computational science . 2003

机译：杂散数值方案计算矩阵指数的方法调查
5. A study of algorithms to compute the matrix exponential. [D] . Parks, Michael James. 1994

机译：对计算矩阵指数的算法的研究。
6. Numerical solution of a diffusion problem by exponentially fitted finite difference methods [O] . Raffaele D’Ambrosio, Beatrice Paternoster -1

机译：用指数拟合有限差分法数值求解扩散问题
7. A survey of methods for computing matrix exponentials in numerical schemes for ODEs [O] . DEL BUONO N, LOPEZ L 2003

机译：ODE数值方案中矩阵指数的计算方法概述
8. Stoermer-Cowell- and Related Methods for the Numerical Solution of Second OrderPeriodic Initial Value Problems for ODE'S. 1: Survey of Methods [R] . Frankena, J. F. 1991

机译：stoermer-Cowell和ODE'二阶周期初值问题数值解的相关方法。 1：方法调查

A Survey on Methods for Computing Matrix Exponentials in Numerical Schemes for ODEs

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