Abstract. Recently a new algorithm for model reduction of second order linear dynamical systems with proportional damping, the Adaptive Iterative Rational Global Arnoldi (AIRGA) algorithm [8], has been proposed. The main computational cost of the AIRGA algorithm is in solving a sequence of linear systems. These linear systems do change only slightly from one iteration step to the next. Here we ...

‎our contribution in this paper is to propose an iterative algorithm which does not require prior knowledge of operator norm and prove a strong convergence theorem for approximating a solution of split equality fixed point problem for quasi-nonexpansive mappings in a real hilbert space‎. ‎so many have used algorithms involving the operator norm for solving split equality fixed point problem‎, ‎...

following the recent work of the authors in development and numerical verification of a new kinematic approach of the limit analysis for surface footings on non-associative materials, a practical procedure is proposed to utilize the theory. it is known that both the peak friction angle and dilation angle depend on the sand density as well as the stress level, which was not the concern of the fo...

In this paper, we investigate several algorithms that construct the input for the synthesis filter in the CELP coder, we present them under the same formalism, and we compare their performances. We model the excitation vector by a linear combination of K signals, which are issued from K codebooks and multiplied by K associated gains. We demonstrate that this generalized form incorporates severa...

X-ray Industrial Computed Laminography (ICL) is a non-destructive three-dimensional (3D) imaging technique for high aspect ratio planar objects such as printed circuit boards and stacked IC. Complementing to the established method of X-ray Industrial Computed Tomography (ICT), ICL is based on tilt orientation of the planar object with respect to incident X-ray beam by a defined angle.The tilt a...

In this work, the nonlinear buckling and post-buckling behavior of shallow arches made of Shape Memory Alloy (SMA) is investigated. Arches are susceptible to large deflections, due to their slenderness, especially when the external load exceeds the serviceability limit point. Beyond this, loss of stability may occur, the famous snap-through buckling. For this reason, curved beams can be used in...

The iterative Fourier transform algorithm (IFTA) is widely used in various optical communication applications based on liquid crystal silicon spatial light modulators. However, the traditional method has many disadvantages, such as a poor effect, an inability to select optimization direction, and failure consider zero padding or phase quantization. Moreover, after years of development, emergenc...

it is well known that if the coefficient matrix in a linear system is large and sparse or sometimes not readily available, then iterative solvers may become the only choice. the block solvers are an attractive class of iterative solvers for solving linear systems with multiple right-hand sides. in general, the block solvers are more suitable for dense systems with preconditioner. in this paper,...