Super-fast validated solution of linear systems

Author:

Rump Siegfried M.,Ogita Takeshi

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference12 articles.

1. J.B. Demmel, On floating point errors in Cholesky, LAPACK Working Note 14 CS-89-87, Department of Computer Science, University of Tennessee, Knoxville, TN, USA, 1989.

2. I.S. Duff, R.G. Grimes, J.G. Lewis, User's guide for Harwell–Boeing sparse matrix test problems collection, Technical Report RAL-92-086, Computing and Information Systems Department, Rutherford Appleton Laboratory, Didcot, UK, 1992.

3. Accuracy and Stability of Numerical Algorithms;Higham,2002

4. Design Implementation and testing of extended and mixed precision BLAS;Li;ACM Trans. Math. Software,2002

5. Interval methods for systems of equations, Encyclopedia of Mathematics and its Applications;Neumaier,1990

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