61 research outputs found

    A Discrete Approach for the Inverse Singular Value Problem in Some Quadratic Group

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    In this paper the solution of an inverse singular value problem is considered. First the decomposition of a real square matrix A = USigmaV is introduced, where U and V are real square matrices orthogonal with respect to a particular inner product defined through a real diagonal matrix G of order n having all the elements equal to +/-1, and Sigma is a real diagonal matrix with nonnegative elements, called G-singular values. When G is the identity matrix this decomposition is the usual SVD and Sigma is the diagonal matrix of singular values. Given a set {sigma(1),...,sigma(n)} of n real positive numbers we consider the problem to find a real matrix A having them as G-singular values. Neglecting theoretical aspects of the problem, we discuss only an algorithmic issue, trying to apply a Newton type algorithm already considered for the usual inverse singular value problem

    Applying Stabilization Techniques to Orthogonal Gradient Flows

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    The solution of ordinary differential systems on manifolds could be treated as differential algebraic equation. In this paper we consider the solution of orthogonal differential systems deriving from the application of the gradient flow techniques to minimization problems. Neglecting the constraints for the solution a differential system is derived. Hence the problem is modified introducing a stabilization technique which is a function of the constrain. The advantage of this approach is that it is possible to apply non conservative numerical methods which are cheaper. Some numerical examples are shown

    Finite element simulation of stress evolution in a frictional contact system

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    A 3-dimensional finite element algorithm for modeling nonlinear frictional contact behaviours between deformable bodies with the node-to-point contact element strategy has been proposed and applied here to investigate stress evolution processes of a nonlinear frictional contact system. The numerical results of a typical intra-plate fault bend model demonstrate the efficiency and usefulness of this algorithm

    Renormalized reaction and relaxation rates

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    Non-equilibrium Quasi-Chemical Nucleation Model

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    Spontaneity by command: Soviet state-society relations under Gorbachev and the emergence of the Russian environmental movement

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    The reform process begun by Gorbachev in 1985 and the subsequent dissolution of the Soviet Union present us with intriguing analytical challenges. A widely accepted explanation for the course of events which unfolded under Gorbachev stresses the central role that a modern and increasingly restive post-Stalinist society played in forcing the Soviet leadership to initiate reforms. Once liberalization of the system loosened the strictures on society, social pressures forced the pace and scope of future reforms."This project rejects such an explanation of Gorbachev's reforms as fundamentally flawed. It is argued here that the Soviet state and not society has to be recognized as the source of Gorbachev's reforms. In part, the explanation for the political and social liberalization instituted by Gorbachev related to the effort by reformers to use society as an ally to ""shake-up"" bureaucratic opposition to economic reform. But liberalization also represented the leadership's strategy for dealing with the devastating effects that seventy years of communist rule had had on society: pervasive apathy, torpor, and social pathologies of epic proportions. This situation represented a crisis which not only threatened the system's ability to function, but which also challenged its very viability. The need for dealing with this social crisis coupled with the strategy of trying to mobilize independent social actors in support of reform helps to explain both the rationale and the dynamic of the political and social liberalization process. To test the validity of this framework, this project uses the Russian environmental movement as a case study."Made available in DSpace on 2011-05-07T12:48:03Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9624345.pdf: 11037719 bytes, checksum: d356c45489a0e722d6b137155dd6aa2d (MD5) Previous issue date: 1995Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding ([email protected]) on 2011-05-07T14:45:59Z Item is restricted indefinitely.Restriction data tranferred 2014-07-01T11:20:27-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permissionETDs are only available to UIUC Users without author permissionU of I Onl
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