Inner product structures are given for realizations of the positive spin ladder representations over the generalized unit disk Dp,q = U(p, q)/K. This is accomplished by combining previous results of the author with the construction of a family of holomorphic polynomials on Dp,q . These polynomials, which play a crucial role in the present work, are shown to be orthogonal with respect to Lebesgu...

A multiple access channel (MAC) with channel state information (CSI) non-causally known at some encoders is considered. For simplicity of exposition, a two-encoder model in which one of the encoders is non-causally informed of the CSI is focused. The results can in principle be extended to any number of encoders with a subset of them being informed. Inner and outer bounds for the capacity regio...

The Jacobi–Davidson method is an eigenvalue solver which uses the iterative (and in general inaccurate) solution of inner linear systems to progress, in an outer iteration, towards a particular solution of the eigenproblem. In this paper we prove a relation between the residual norm of the inner linear system and the residual norm of the eigenvalue problem. We show that the latter may be estima...

In this work we reflect a new system of generalized nonlinear variational inclusion problems in 2-uniformly smooth Banach spaces. By using resolvent operator technique, offer an iterative algorithm for figuring out the approximate solution said system. The motive paper is to review convergence analysis proposition used can be considered as extension propositions examining existence various clas...

We show that the singular value decomposition with respect to a certain inner product in R gives the generalized singular value decomposition for two matrices with M columns and different sizes of rows, introduced recently to compare two sets of DNA microarrays of different organisms. 2000 Mathematical Subject Classification: 15A18, 92D10

We propose construction of a unique and definite metric (η +), time-reversal operator (T) and an inner product such that the pseudo-Hermitian matrix Hamiltonians are C, PT, CPT invariant and PT(CPT)-norm is indefinite (definite). Here, P and C denote the generalized symmetries : parity and charge-conjugation respectively. The limitations of the other current approaches have been brought out.

Consider linear systems involving affine-linear dependencies on interval parameters. Presented is a free C-XSC software implementing a generalized parametric fixed-point iteration method for verified enclosure of the parametric solution set. Some specific features of the corresponding algorithm concerning sharp enclosure of the contracting matrix and inner approximation of the solution enclosur...

The reorientational relaxation of molecular systems is important in many phenomenon and applications. In this paper, we explore the reorientational relaxation of a model Brownian rotor lattice system with short range interactions in both the high and low temperature regimes. In this study, we use a basis set expansion to capture collective motions of the system. The single particle basis set is...

We consider inverse iteration-based eigensolvers, which require at each step solving an “inner” linear system. We assume that this linear system is solved by some (preconditioned) Krylov subspace method. In this framework, several approaches are possible, which differ by the linear system to be solved and/or the way the preconditioner is used. This includes methods such as inexact shift-and-inv...

In this paper, numerical ranges associated to operators on an indefinite inner product space are investigated. Boundary generating curves, corners, shapes and computer generations of these sets are studied. In particular, the MurnaghanKippenhahn theorem for the classical numerical range is generalized.