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Part of the book series: Mitteilungen aus dem Institut für angewandte Mathematik ((MIAM,volume 8))

Abstract

For reasons explained in Chapter I, our studies have so far been confined to linear systems

((II.1))

with symmetric and positive definite coefficient matrix A. b is the vector of the constant terms, x is the vector of the unknowns, but in this chapter, the letter x shall denote an arbitrary point of the N- dimensional space whereas the solution of (II. 1) will be denoted by — A-1b. The order of the system will be denoted throughout by JV, whereas n is used for the number of different eigenvalues of A, which may be smaller than N.

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© 1959 Birkhäuser Verlag Basel

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Rutishauser, H. (1959). Theory of Gradient Methods. In: Refined Iterative Methods for Computation of the Solution and the Eigenvalues of Self-Adjoint Boundary Value Problems. Mitteilungen aus dem Institut für angewandte Mathematik, vol 8. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7224-9_2

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  • DOI: https://doi.org/10.1007/978-3-0348-7224-9_2

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-7226-3

  • Online ISBN: 978-3-0348-7224-9

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