Estimates for some computational techniques in linear algebra
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- Math. Comp. 20 (1966), 369-378 Request permission
References
- F. L. Bauer and A. S. Householder, Moments and characteristic roots, Numer. Math. 2 (1960), 42–53. MR 110188, DOI 10.1007/BF01386207
- E. Bodewig, Matrix calculus, 2nd revised and enlarged edition, North-Holland Publishing Co., Amsterdam; Interscience Publishers, Inc., New York, 1959. MR 0127517
- D. K. Faddeev and V. N. Faddeeva, Computational methods of linear algebra, W. H. Freeman and Co., San Francisco-London, 1963. Translated by Robert C. Williams. MR 0158519
- M. K. Gavurin, The use of polynomials of best approximation for improving the convergence of iterative processes, Uspehi Matem. Nauk (N.S.) 5 (1950), no. 3(37), 156–160 (Russian). MR 0037073
- Magnus R. Hestenes and William Karush, A method of gradients for the calculation of the characteristic roots and vectors of a real symmetric matrix, J. Research Nat. Bur. Standards 47 (1951), 45–61. MR 0043552
- Magnus R. Hestenes and Eduard Stiefel, Methods of conjugate gradients for solving linear systems, J. Research Nat. Bur. Standards 49 (1952), 409–436 (1953). MR 0060307
- Alston S. Householder, Principles of numerical analysis, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1953. MR 0059056
- Alston S. Householder, The theory of matrices in numerical analysis, Blaisdell Publishing Co. [Ginn and Co.], New York-Toronto-London, 1964. MR 0175290
- Shmuel Kaniel, On the approximation of symmetric operators by operators of finite rank, Israel J. Math. 3 (1965), 1–5. MR 182879, DOI 10.1007/BF02760019
- Samuel Karlin, Mathematical methods and theory in games, programming, and economics, Dover Publications, Inc., New York, 1992. Vol. I: Matrix games, programming, and mathematical economics; Vol. II: The theory of infinite games; Reprint of the 1959 original. MR 1160778
- Cornelius Lanczos, Solution of systems of linear equations by minimized-iterations, J. Research Nat. Bur. Standards 49 (1952), 33–53. MR 0051583
- Cornelius Lanczos, Applied analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1956. MR 0084175
- Günter Meinardus, Über eine Verallgemeinerung einer Ungleichung von L. V. Kantorowitsch, Numer. Math. 5 (1963), 14–23 (German). MR 160311, DOI 10.1007/BF01385875
- Eduard L. Stiefel, Kernel polynomials in linear algebra and their numerical applications, Nat. Bur. Standards Appl. Math. Ser. 49 (1958), 1–22. MR 92214
- E. Stiefel, Über diskrete und lineare Tschebyscheff-Approximationen, numer. Math. 1 (1959), 1–28 (German). MR 0107960, DOI 10.1007/BF01386369
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Math. Comp. 20 (1966), 369-378
- MSC: Primary 65.35
- DOI: https://doi.org/10.1090/S0025-5718-1966-0234618-4
- MathSciNet review: 0234618