A set of test matrices
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- by Mark Lotkin PDF
- Math. Comp. 9 (1955), 153-161 Request permission
Corrigendum: Math. Comp. 11 (1957), 129-130.
References
- John Todd, The condition of the finite segments of the Hilbert matrix, Contributions to the solution of systems of linear equations and the determination of eigenvalues, National Bureau of Standards Applied Mathematics Series, No. 39, U.S. Government Printing Office, Washington, D.C., 1954, pp. 109–116. MR 0068304 G. Frobenius, “Über Matrizen aus positiven Elementen,” Sitzungsberichte Kgl. Preuss. Akad. Wiss., 1908, p. 471-476; 1909, p. 514-518.
- W. V. Parker, Characteristic roots and the field of values of a matrix, Duke Math. J. 15 (1948), 439–442. MR 25435, DOI 10.1215/S0012-7094-48-01542-7
- A. Ostrowski, Bounds for the greatest latent root of a positive matrix, J. London Math. Soc. 27 (1952), 253–256. MR 49152, DOI 10.1112/jlms/s1-27.2.253
- Mark Lotkin and Russell Remage, Scaling and error analysis for matrix inversion by partitioning, Ann. Math. Statistics 24 (1953), 428–439. MR 56373, DOI 10.1214/aoms/1177728982
- John Todd, The condition of a certain matrix, Proc. Cambridge Philos. Soc. 46 (1950), 116–118. MR 33192, DOI 10.1017/S0305004100025536 R. A. Frazer, W. J. Duncan, & A. R. Collar, Elementary Matrices, Cambridge Univ. Press, 1950.
- Olga Taussky, Notes on numerical analysis. II. Note on the condition of matrices, Math. Tables Aids Comput. 4 (1950), 111–112. MR 38137, DOI 10.1090/S0025-5718-1950-0038137-8
Additional Information
- © Copyright 1955 American Mathematical Society
- Journal: Math. Comp. 9 (1955), 153-161
- MSC: Primary 65.0X
- DOI: https://doi.org/10.1090/S0025-5718-1955-0074919-9
- MathSciNet review: 0074919