A note on the inversion of matrices by random walks
A note on the inversion of matrices by random walks
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关于随机游走矩阵求逆的注意事项
DOI：
10.1090/s0025-5718-1952-0055033-2
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发表时间：
1952
影响因子：
2
通讯作者：
W. Wasow
中科院分区：
文献类型：
--
作者：
W. Wasow
1 W. Milne，“近似线性方法中的其余部分”，NBS，JN。函数。 IBM序列计算器上微分方程的测试系统的数值解决方案，“ Cyclone Report，Reeves Instrument Corp.，纽约28。另请参见F. J. Murray，“计划和错误注意事项的数值考虑，用于差分方程系统的数值解决方案。序列计算器，“ MTAC，第4页，第133-144页。沃森（Watson）对作者的科学计算实验室表明，A的公式与Adams-Bashforth方法的绝对价值相等约克，1950年，第52页。
1 W. E. Milne, "The remainder in linear methods of approximation," NBS, Jn. Research, v. 43, 1949, p. 501-511. This gives a more general approach to step errors of integration formulas based upon approximation by sets of functions. * R. E. Greenwood, "Numerical integration of linear sums of exponential functions," Ann. Math. Stat., v. 20, 1949, p. 608-611. * P. Brock & F. J. Murray, "Planning and error analysis for the numerical solution of a test system of differential equations on the IBM sequence calculator," Cyclone Report, Reeves Instrument Corp., New York 28. See also F. J. Murray, "Planning and error considerations for the numerical solution of a system of differential equations on a sequence calculator," MTAC, v. 4, p. 133-144. * F. J. Murray, "Linear equation solvers," Quart. Appl. Math., v. 7, 1948, p. 263-274. * L. H. Thomas of the Watson Scientific Computing Laboratory indicated this formula for An to the authors. He also indicated that the An are equal in absolute value to the coefficients of the Adams-Bashforth method of step by step numerical integration. « W. Feller, Probability Theory. New York, 1950, v. 1, p. 52. 7 G. Birkhoff & S. MacLane, A Survey of Modern Algebra. New York, 1948, p. 424.