A new computational technique is presented by which large structured matrices can be inverted. The specified matrix is viewed as the input-output operator of a time-varying system. Recently developed state space algorithms which apply to such systems are then used to compute a QR factorization first and subsequently the inverse of the matrix, starting from a state realization of the matrix. The...

In this paper, the problem of computing inverses of polynomial matrices has been revisited and algorithms of easy implementation are proposed to deal with either column or non-column reduced matrices. Other contributions of the paper are algorithms to perform column reduction and determinant of polynomial matrices. © 2002 Elsevier Science Inc. All rights reserved.

Let X be a regular linear diffusion whose state space is an open interval E ⊆ R. We consider a diffusion X∗ which probability law is obtained as a Doob htransform of the law of X, where h is a positive harmonic function for the infinitesimal generator of X on E. This is the dual of X with respect to h(x)m(dx) where m(dx) is the speed measure of X. Examples include the case where X∗ is X conditi...

introduction anterior talofibular ligament (atfl) rupture is the most commonly injured anatomic structure in lateral ankle sprain. in some cases, atfl avulsion fracture from the lateral malleolus may occur instead of purely ligamentous injuries. the atfl avulsion fracture is detected as a small ossicle at the tip of lateral malleolus on direct radiographs, which is called os subfibulare in chro...

The titled problem of coupled thermoelasticity for porous structure has been solved with an instantaneous heat source acting on a plane area in an unbounded medium. The basic equations of thermoelasticity, after being converted into a one-dimensional form, have been written in the form of a vector-matrix differential equation and solved by the eigenvalue approach for the field variables in the ...

This paper presents an articulatory codebook construction method which gives a good space coverage with a limited number of points. We represent the articulatory space by hypercubes. Therefore the articulatory space is decomposed into regions represented by few number of points. We describe our interpolation method to retrieve points from the hypercube and the inversion method based on the same...