Pivot tightening for direct methods for solving symmetric positive definite systems of linear interval equations-Reference-Cited by-同舟云学术

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Pivot tightening for direct methods for solving symmetric positive definite systems of linear interval equations

Published:2011-10-29 Issue:2-4 Volume:94 Page:97-107
ISSN:0010-485X
Container-title:Computing
language:en
Short-container-title:Computing

Author:

Garloff Jürgen

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Computational Theory and Mathematics,Computer Science Applications,Numerical Analysis,Theoretical Computer Science,Software

Link

http://link.springer.com/content/pdf/10.1007/s00607-011-0159-7.pdf

Reference26 articles.

1. Neumaier A (1990) Interval methods for systems of equations Encyclopedia Math Appl 37. Cambridge University Press, Cambridge, UK

2. Alefeld G, Herzberger J (1983) Introduction to interval computations. Academic Press, New York

3. Garloff J (2009) Interval Gaussian elimination with pivot tightening. SIAM J Matrix Anal Appl 30: 1761–1772

4. Alefeld G, Mayer G (1993) The Cholesky method for interval data. Linear Algebra Appl 194: 161–182

5. Alefeld G, Mayer G (2009) New criteria for the feasibility of the Cholesky method with interval data. SIAM J Matrix Anal Appl 30: 1392–1405

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Generalized Cholesky Decomposition for Interval Matrix;Advanced Materials Research;2012-02

2. An Oettli--Prager-Like Theorem for the Symmetric Solution Set and for Related Solution Sets;SIAM Journal on Matrix Analysis and Applications;2012-01

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