We show that there exists a simple generalization of Kazakov’s multicritical one-matrix model, which interpolates between the various multicritical points of the model. The associated multicritical potential takes the form of a power series with a heavy tail, leading to a cut of the potential and its derivative at the real axis, and reduces to a polynomial at Kazakov’s multicritical points. Fro...

We study a structure of a generalized matrix mechanics based on many-index objects. It is shown that there exists a counterpart of canonical structure in classical mechanics. E-mail: [email protected]

In this paper, we give the generalized alternating twostage method in which the inner iterations are accomplished by a generalized alternating method. And we present convergence results of the method for solving nonsingular linear systems when the coefficient matrix of the linear system is a monotone matrix or an H-matrix. Keywords—generalized alternating two-stage method, linear system, conver...

In this paper we give an explicit solution to the rank constrained matrix approximation in Frobenius norm, which is a generalization of the classical approximation of an m× n matrix A by a matrix of rank k at most. 2000 Mathematics Subject Classification: 15A18.

Predicting Adolescents’ Self-Differentiation and Attachment Styles Based on Family Flexibility, Parents’ Level of Self-Differentiation and Parental Attachment Styles F. Asl Dehghan, M.A. H. Rezaian, Ph.D. S. Hosseinian, Ph.D. The main purpose of the present study was to determine the role of family flexibility, parents’ level of self-differentiation, and pa...

In this paper, we present an iterative algorithm for solving the following coupled Sylvester-transpose matrix equations q ∑ j=1 ( AijXjBij + CijX j Dij ) = Fi, i = 1, 2, . . . , p, over the generalized centro-symmetric matrix group (X1, X2, . . . , Xq). The solvability of the problem can be determined by the proposed algorithm, automatically. If the coupled Sylvester-transpose matrix equations ...

First, the equations for calculating the full mass, stiffness and damping matrices from modal data are derived. This deviation was first presented in [1]. However, these equations are difficult to solve because the first step of their solution requires matrix inversion of the flexibility matrix to obtain the stiffness matrix. Not only does matrix inversion amplify errors, but the number of line...

The unified hybrid censoring is a mixture of generalized Type-I and Type-II hybrid censoring schemes. This article presents the statistical inferences on Generalized Exponential Distribution parameters when the data are obtained from the unified hybrid censoring scheme. It is observed that the maximum likelihood estimators can not be derived in closed form. The EM algorithm for computing the ma...