Improved componentwise verified error bounds for least squares problems and underdetermined linear systems

Author:

Rump Siegfried M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference19 articles.

1. Arioli, M., Duff, I.S., de Rijk, P.P.M.: On the augmented system approach to sparse least-squares problems. Numer. Math. 55(6), 667–687 (1989)

2. Björck, Å.: Iterative refinement of linear least squares solutions I. BIT 7, 257–278 (1967)

3. Davis, T.A., Hu, Y.: The University of Florida Sparse Matrix Collection. ACM Trans. Math. Softw. 38(1), 1:1–1:25 (2011)

4. Demmel, J.B., Hida, Y., Kahan, W., Li, X.S., Mukherjee, S., Riedy, E.J.: Error, bounds from extra precise iterative refinement. ACM Trans. Math. Softw. (TOMS) 32(2), 325–351 (2006)

5. Frommer, A.: Proving conjectures by use of interval arithmetic. In: Kulisch, U., et al. (eds.) Perspectives on Enclosure Methods. SCAN 2000, GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, Univ. Karlsruhe, Germany, September 19-22, 2000. Springer, Wien (2001)

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