In this addendum to an earlier paper by the author, it is shown how to compute a Krylov decomposition corresponding to an arbitrary Rayleigh-Quotient. This decomposition can be used to restart an Arnoldi process, with a selection of the Ritz vectors corresponding to the Rayleigh quotient. ABSTRACT In this addendum to an earlier paper by the author, it is shown how to compute a Krylov decomposit...

This article presents a numerical method to find the heat flux in an inhomogeneous inverse heat conduction problem with linear boundary conditions and an extra specification at the terminal. The method is based upon applying the satisfier function along with the Ritz-Galerkin technique to reduce the approximate solution of the inverse problem to the solution of a system of algebraic equations. ...

Using the integer programming approach introduced by Sethuraman, Teo, and Vohra (2003), we extend the analysis of the preference domains containing an inseparable ordered pair, initiated by Kalai and Ritz (1978). We show that these domains admit not only Arrovian social welfare functions “without ties,” but also Arrovian social welfare functions “with ties,” since they satisfy the strictly deco...

Developing countries have embarked on the promotion of “ICT access for all” through subsidized Information and Communication Technologies (ICTs), especially in underserviced areas of such countries. The main aim of the “ICT access for all” is to extend the communication services to the large areas of underserviced regions through subsidized communication services. In some instances, subsidies m...

If uniform coding (Gödelization) of potentially infinite sequences of numbers can be performed in PSPACEF, then PSPACE = EXPTIME 6= EXPSPACE = 2-EXPTIME, and, for all p, we have p−EXPSPACE = p+1-EXPTIME; if it can be performed in LINSPACEF, we also have LINSPACE = DTIME(2); the proof fails, when relativized to oracle-TM’s. A by-product of this research is that PTIMEF is not closed under number-...

This paper is the second part of free vibration and stability analysis thick isotropic orthotropic plates. The support condition CCCC CCFC was considered by applying alternative II theory based on polynomial shape function. work application formulation earlier derived using Ritz method. frequency values first mode critical loads obtained were compared with those order shear deformation theory. ...

this paper may be regarded as a new numerical method for the analysis of triangular thin plates using the natural area coordinates. previous studies on the solution of triangular plates with different boundary conditions are mostly based on the rayleigh-ritz principle which is performed in the cartesian coordinates. consequently, manipulation of the geometry and numerical calculation of the int...

Ritz method is one of the techniques for reduction of the degrees of freedom. Efficiency of Ritz method depends on used vectors. The Ritz method uses load depended vectors in spite of modal method and for this reason it is expected to give better results than modal method. This is the advantage of Ritz method. It is worth mention that the mode shapes are independent of loading. The vectors that...

In this Letter, a (2 + 1)-dimensional soliton equation is studied by He’s variational approach. The solitary solutions are obtained using the Ritz method.