ゲッツ・アールフェルト
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ゲッツ・アールフェルト（ドイツ語: Götz Alefeld、1941年6月9日 - ）はドイツの数学者。専門は数値解析・精度保証付き数値計算である。 非線型方程式の精度保証付き数値計算に用いられる区間ニュートン法の提唱者である[1][2]。
- Götz Alefeld, Jürgen Herzberger: Introduction to Interval Computations, en:Academic Press, 1983.
- Götz Alefeld, Günter Mayer: Interval Analysis: Theory and Applications, en:Journal of Computational and Applied Mathematics, 121, 2000, 421–464.
- Alefeld, G., & Herzberger, J. (1974). On the convergence speed of some algorithms for the simultaneous approximation of polynomial roots. en:SIAM Journal on Numerical Analysis, 11(2), 237-243.
- Alefeld, G., & Schneider, N. (1982). On square roots of M-matrices. Linear Algebra and its Applications, 42, 119-132.
- Alefeld, G., & Claudio, D. (1998). The basic properties of interval arithmetic, its software realizations and some applications. Computers & Structures, 67(1-3), 3-8.
- Alefeld, G. E., & Potra, F. A. (1992). Some efficient methods for enclosing simple zeros of nonlinear equations. en:BIT Numerical Mathematics, 32(2), 334-344.
- Alefeld, G., Kreinovich, V., & Mayer, G. (1998). The shape of the solution set for systems of interval linear equations with dependent coefficients. Mathematische Nachrichten, 192(1), 23-36.
- Alefeld, G., Kreinovich, V., & Mayer, G. (2003). On the solution sets of particular classes of linear interval systems. en:Journal of Computational and Applied Mathematics, 152(1-2), 1-15.
出典
- ↑ 大石進一（編著）『精度保証付き数値計算の基礎』コロナ社、2018年7月。ISBN 978-4-339-02887-4。
- ↑ G. Alefeld: Inclusion Methods for Systems of Nonlinear Equations in J. Herzberger (Ed.), Topics in Validated Computations (1994), Studies in Computational Mathematics, Elsevier, Amsterdam, 7–26.
