A study is made of the propagation of time-harmonic magneto-thermoviscoelastic plane waves in a homogeneous electrically conducting viscoelastic medium of Kelvin-Voigt type permeated by a primary uniform external magnetic field when the entire medium rotates with a uniform angular velocity. The generalized thermoelasticity theory of type II (Green and Naghdi model) is used to study the propagat...

We consider the problem of updating an invariant subspace of a Hermitian, large and struc-tured matrix when the matrix is modiied slightly. The problem can be formulated as that of computing stationary values of a certain function, with orthogonality constraints. The constraint is formulated as the requirement that the solution must be on the Grassmann manifold, and Newton's method on the manif...

We derive the solvability conditions and a formula of general solution to Sylvester-type matrix equation over Hamilton quaternions. As an application, we investigate necessary sufficient for quaternion equation, which involves ?-Hermicity. also provide algorithm with numerical example illustrate main results this paper.

METT VII — 7th Workshop on Matrix Equations and Tensor Techniques Pisa, 13–14 Feb 2017 Program Monday, February 13 8:30 Registration Session I (chair: B. Meini) 9:00 Opening 9:15 P. Kürschner: Large generalized Sylvester equations with additional low-rank terms 9:40 G. Mele: Krylov methods for generalized Sylvester equations with low rank commutative coefficients 10:05 E. Ringh: Sylvester-based...

One-dimensional parabolic equation; Nonlocal boundary conditions; Taylor approximation; Operational matrices; Krylov subspace iterative methods; Restarted GMRES Abstract This article contributes a matrix approach by using Taylor approximation to obtain the numerical solution of one-dimensional time-dependent parabolic partial differential equations (PDEs) subject to nonlocal boundary integral c...

We propose a general, numerically reliable computational approach to solve the pole and eigenstructure assignment problem for descriptor systems. In the multi-input case, the proposed approach addresses the intrinsic non-uniqueness of the pole assignment problem solution by simultaneously minimizing the sensitivity of the feedback gain and of closed-loop eigenvalues. For this purpose, a minimum...