The generalized eigenvalue problem for a symmetric definite matrix pencil obtained from finite-element modeling of electroelastic materials is solved numerically by the Lanczos algorithm. mass singular in considered problem, and therefore process proceeds with semi-inner product defined this matrix. shift-and-invert algorithm used to find multiple eigenvalues closest some shift corresponding ei...

In this note we study the structure of shift-preserving operators acting on a finitely generated shift-invariant space. We define new notion diagonalization for these operators, which call s-diagonalization. give necessary and sufficient conditions bounded operator in order to be s-diagonalizable. These are terms its range operator. also obtain generalized Spectral Theorem normal operators.

Abstract The spin Hall effect of light (SHEL) is the microscopic spin-dependent splitting at an optical interface. Whereas shift under linearly polarized well-formulated, studies on SHEL elliptically or circularly have primarily relied numerical computation. In this work, explicit analytic formula for derived arbitrarily incidence. Furthermore, from expression, we demonstrate that can be enhanc...

In this paper, a reduced-rank angular parameters estimation algorithm is proposed for incoherently distributed (ID) noncircular sources based on uniform linear array (ULA), which addresses the problems of central direction-of-arrival (DOA) and spread estimation. Firstly, noncircularity property signals utilized to establish an extended generalized manifold (GAM) model first-order Taylor series ...

Twenty-four social phobics with public speaking anxiety and 25 nonphobic individuals (controls) gave a speech in front of two people. Subjective anxiety, gaze behavior, and speech disturbances were assessed. Based on subjects' fear ratings of social situations, phobics and controls were divided into the generalized and nongeneralized subtype. Results showed that generalized phobics reported the...