نتایج جستجو برای: definite problem

تعداد نتایج: 903957  

2004
Chao Ko

be a positive definite quadratic form with determinant D R and integer coefficients a ;Call it an even form if all a ; ; are even ., an odd form if at least one a ;; is odd . Then Í,, is called non-decomposable, if it cannot be expressed as a sum of two non-negative quadratic forms with integer coefficients . Mordell 1 ) proved that f, can always be decomposed into a sum of five squares of line...

Journal: :Appl. Soft Comput. 2004
Lanka Udawatta Keigo Watanabe Kazuo Kiguchi Kiyotaka Izumi

A novel approach for solving fuzzy model-based stability problems via evolutionary computation (EC) is presented. Gain scheduling problem of a multi-model fuzzy system that satisfies the Lyapunov stability criteria is solved. The generalized eigenvalue problem (GEVP) can be directly introduced to EC in searching positive definite (PD) or positive semi-definite (PSD) matrices, by making a penalt...

2000
Danlei Chu Tongwen Chen Horacio J. Marquez

In this paper, we develop a finite horizon model predictive control algorithm which is robust to modelling uncertainties. A moving average system matrix is constructed to capture modelling uncertainties and facilitate the future output prediction. The paper is mainly focused on the step tracking problem. Using linear matrix inequality techniques, the design is converted into a semi-definite opt...

Journal: :CoRR 2011
Tim Netzer Daniel Plaumann Andreas Berthold Thom

We consider the problem of writing real polynomials as determinants of symmetric linear matrix polynomials. This problem of algebraic geometry, whose roots go back to the nineteenth century, has recently received new attention from the viewpoint of convex optimization. We relate the question to sums of squares decompositions of a certain Hermite matrix. If some power of a polynomial admits a de...

Journal: :University of Pennsylvania Law Review and American Law Register 1933

Journal: :Časopis pro pěstování matematiky a fysiky 1872

Journal: :Applied Numerical Mathematics 2022

The second-order cone linear complementarity problem (SOCLCP) is a generalization of the classical problem. It has been known that SOCLCP, with globally uniquely solvable property, essentially equivalent to zero-finding in which associated function bears much similarity transfer model reduction [38]. In this paper, we propose new rational Krylov subspace method solve for symmetric and positive ...

2017
David Goldberg Andrew Trotman Xiao Wang Wei Min Zongru Wan

The quality of a search engine is typically evaluated using hand-labeled data sets, where the labels indicate the relevance of documents to queries. Often the number of labels needed is too large to be created by the best annotators, and so less accurate labels (e.g. from crowdsourcing) must be used. This introduces errors in the labels, and thus errors in standard precision metrics (such as P@...

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