Found 25 Documents (Results 1–25)
The limit \(G\)-law for the solutions of systems of linear algebraic equations with independent random coefficients under the \(G\)-Lindeberg condition. (English) Zbl 1423.15003
Reviewer: Dominique Lépingle (Orléans)
The circular law. Twenty years later. III. (English) Zbl 1088.60020
Reviewer: A. D. Borisenko (Kyïv)
The strong circular law. Twenty years later. I. (English) Zbl 1088.60019
Reviewer: L. M. Sakhno (Kyïv)
Random block matrix density and ss-law. (English) Zbl 0959.60054
Reviewer: A.D.Borisenko (Kyïv)
MSC:
60H25
Strong law for the singular values and eigenvectors of random matrices. III. Inequalities for the spectral radius of large random matrices. (English) Zbl 0952.60065
Reviewer: A.D.Borisenko (Kyïv)
MSC:
60H25
Strong circular law. (English) Zbl 0929.60047
Reviewer: A.D.Borisenko (Kyïv)
MSC:
60H25
Strong elliptic law. (English) Zbl 0893.60015
Reviewer: N.M.Zinchenko (Kyïv)
Canonical spectral equation for empirical covariance matrices. (English. Ukrainian original) Zbl 0943.60054
Ukr. Math. J. 47, No. 9, 1334-1340 (1995); translation from Ukr. Mat. Zh. 47, No. 9, 1176-1189 (1995).
Reviewer: N.M.Zinchenko (Kyïv)
The canonical spectral equation for singular spectral functions of random matrices. (English. Russian original) Zbl 0801.60055
Russ. Math. Surv. 48, No. 3, 163-179 (1993); translation from Usp. Mat. Nauk 48, No. 3(291), 163-180 (1993).
Reviewer: I.Křivý (Ostrava)
Asymptotically normal estimates of solutions of systems of linear algebraic equations. II. (English. Russian original) Zbl 0766.60082
Ukr. Math. J. 42, No. 7, 796-802 (1990); translation from Ukr. Mat. Zh. 42, No. 7, 900-907 (1990).
Theory of empirical systems of equations. (Teoriya ehmpiricheskikh sistem uravnenij.) (Russian) Zbl 0793.60074
Kiev: Lybid’. 264 p. (1990).
Asymptotically normal estimates of solutions of systems of linear algebraic equations. I. (English. Russian original) Zbl 0727.60069
Ukr. Math. J. 42, No. 6, 666-671 (1990); translation from Ukr. Mat. Zh. 42, No. 6, 755-762 (1990).
Reviewer: N.G.Gamkrelidze (Moskva)
MSC:
60H25
Limit theorems for distributions of eigenvalues of random symmetric matrices. (English. Russian original) Zbl 0717.60047
Theory Probab. Math. Stat. 41, 25-31 (1990); translation from Teor. Veroyatn. Mat. Stat., Kiev 41, 23-29 (1989).
Limit theorems for the distribution of eigenvalues of random symmetric matrices. (Russian) Zbl 0698.60049
Reviewer: L.Pastur
An equation for the Stieltjes transforms of limit spectral functions of isotropic random matrices. (English. Russian original) Zbl 0659.60090
Theory Probab. Math. Stat. 36, 31-33 (1988); translation from Teor. Veroyatn. Mat. Stat. 36, 31-33 (1987).
Theory of random determinants. Transl. from the Russian. (English) Zbl 0704.60003
Reviewer: I.G.Zhurbenko
An equation for the Stieltjes transform of the limit spectral functions of isotropic random matrices. (Russian) Zbl 0644.60055
Reviewer: G.A.Sokhadze
Distribution of eigenvalues and eigenvectors of orthogonal random matrices. (English. Russian original) Zbl 0589.60018
Ukr. Math. J. 37, 457-463 (1985); translation from Ukr. Mat. Zh. 37, No. 5, 568-575 (1985).
Reviewer: Tran Van Nhung
Eigenvalues of random matrices. II. (Russian) Zbl 0505.60080
Teor. Veroyatn. Mat. Stat. 27, 27-28 (1982).
Theory of stochastic determinants. (Teoriya sluchajnykh determinantov). (Russian) Zbl 0475.60002
Kiev: Izdatel’stvo pri Kievskom Gosudarstvennom Universitete Izdatel’skogo Ob”edineniya ”Vishcha Shkola”. 367 p. R. 2.60 (1980).
The polar decomposition of a random matrix. (English. Russian original) Zbl 0472.15010
Theory Probab. Math. Stat. 23, 21-31 (1981); translation from Teor. Veroyatn. Mat. Stat. 23, 20-30 (1980).
Stochastic spectral equations. (English) Zbl 0469.60062
Stochastic differential systems, Proc. IFIP-WG 7/1 Work. Conf., Vilnius/Lith. 1978, Lect. Notes Control Inf. Sci. 25, 354-363 (1980).
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