リチャード・バルガ（Richard S. Varga、1928年10月9日[1] - 2022年2月25日）は、数値解析・数値線形代数・反復法・行列解析・複素解析を専門とするアメリカ合衆国の数学者。オハイオ州クリーブランド出身[1]。
著書
- Varga, R. S. (1962). Iterative analysis. Prentice Hall, Englewood Cliffs, NJ.
- Varga, R. S. (1971). Functional analysis and approximation theory in numerical analysis. SIAM.
- Varga, R. S. (1990). Scientific Computations on Mathematical Problems and Conjectures. SIAM.
- Edrei, A., Saff, E. B., & Varga, R. S. (2006). Zeros of sections of power series. Springer.
- Graves-Morris, P. R., Saff, E. B., & Varga, R. S. (Eds.). (2006). Rational Approximation and Interpolation: Proceedings of the United Kingdom-United States Conference, Held at Tampa, Florida, December 12-16, 1983 (Vol. 1105). Springer.
- Varga, R. S. (2010). Geršgorin and his circles. Springer Science & Business Media. (ゲルシュゴリンの定理に関する文献)
解説記事
- Varga, R. S. (1976). M-matrix theory and recent results in numerical linear algebra. In Sparse Matrix Computations (pp. 375-387). Academic Press.
- Varga, R. S. (1982). Topics in polynomial and rational interpolation and approximation. Montréal: Presses de l'Université de Montréal.
- Varga, R. S. (1986). Scientific computation on some mathematical conjectures. Approximation theory, 5, 191-209.
- Kincaid, D. R., Varga, R. S., & Warlick, C. H. (2010). The life and times of Dr David M. Young, Jr. Numerical Linear Algebra with Applications, 17(5), 743-757.
代表的な論文
単著
1950年代
- Varga, R. S. (1957). A comparison of the successive overrelaxation method and semi-iterative methods using Chebyshev polynomials. Journal of the Society for Industrial and Applied Mathematics, 5(2), 39-46.
- Varga, R. S. (1959). Factorization and normalized iterative methods (No. WAPD-T-950). Westinghouse Electric Corp. Bettis Plant, Pittsburgh.
1960年代
- Varga, R. S. (1961). On higher order stable implicit methods for solving parabolic partial differential equations. Journal of Mathematics and Physics, 40(1-4), 220-231.
- Varga, R. S. (1965). Minimal Gerschgorin sets. Pacific Journal of Mathematics, 15(2), 719-729.
- Varga, R. S. (1966). On a discrete maximum principle. en:SIAM Journal on Numerical Analysis, 3(2), 355-359.
1970年代
カテゴリ
