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- Title
35 years of the Inverse Tangent Law.
- Authors
Girko, Vyacheslav
- Abstract
The distribution functions of the solutions of the systems of linear algebraic equations (SLAE) , in general, have a cumbersome form; the order of these systems in some practical problems is large, therefore, the asymptotic behavior of the solutions should be studied in increasing order n of the system to infinity. A general form of the limit theorems of solutions of the systems of linear algebraic equations with independent random coefficients and components , i, j = 1, . . . , n, are given in this survey. By the tradition of choosing the names of laws in probability theory (Arcsine law, Law of iterated logarithm, etc.) we call the unusual behavior of the solutions of (SLAERC) as Inverse Tangent Law.
- Subjects
INVERSE problems; NUMERICAL solutions to linear differential equations; MATHEMATICAL forms; ASYMPTOTIC expansions; STOCHASTIC processes; MATHEMATICAL analysis
- Publication
Random Operators & Stochastic Equations, 2011, Vol 19, Issue 4, p299
- ISSN
0926-6364
- Publication type
Article
- DOI
10.1515/ROSE.2011.017