vii List of Figures x List of Tables xi I Direct Minimization of the Equation Residuals 1

Many scientific libraries are currently based on the GMRES method as a Krylov 7 subspace iterative method for solving large linear systems. The restarted formulation known as 8 GMRES(m) has been extensively studied and several approaches have been proposed to reduce 9 the negative effects due to the restarting procedure. A common effect in GMRES(m) is a slow 10 convergence rate or a stagnation ...

in this paper a comprehensive approach is presented to improve power swings damping based on direct lyapunov method. the approach combines superconducting magnetic energy storage (smes) system with static synchronous compensator (statcom). considering the energy absorption/injection ability of smes, in transient states the combination exchanges both active and reactive powers with power system....

The problem of determining the minimum-cost hypothetical ancestral sequences for a given cladogram is known to be NP-complete. This "tree alignment" problem has motivated the considerable effort placed in multiple sequence alignment procedures. Wheeler in 1996 proposed a heuristic method, direct optimization, to calculate cladogram costs without the intervention of multiple sequence alignment. ...

in this paper, we have proposed a new iterative method for finding the solution of ordinary differential equations of the first order. in this method we have extended the idea of variational iteration method by changing the general lagrange multiplier which is defined in the context of the variational iteration method.this causes the convergent rate of the method increased compared with the var...

Geometry optimization is an essential part of quantum chemical applications. The diversity of the scaling of different methods from linear to exponential implies that there are different requirements for a chosen optimization method. The proposed method aims to meet two requirements, good scaling with size and reliability, which would be a good match for redundant internal coordinate system-bas...

This paper introduces a nonparametric frequency-domain scheme for tuning closed-loop systems. A linear quadratic criterion is used for guiding the system towards an optimal-regulation state. The computation of tuning directions is performed with unbiased estimates of "rst and second derivatives of the cost function. In order to provide cautious adjustments of the controller parameters, this sch...

Starting from an extension of the classical Kaczmarz’s iterative method, presented by the author in a previous work, we construct in the present paper a direct solver for the computation of the minimal norm solution of inconsistent and rank-deficient leastsquares problems. The construction is made by introducing in the original iteration a set of supplementary directions for projection. In the ...