Displaying similar documents to “On the compatibility of classical multiplier estimates with variable reduction techniques when there are nonlinear inequality constraints.”

Métodos para la actualización de los factores de Q y R de una matriz.

Laureano F. Escudero (1984)

Trabajos de Estadística e Investigación Operativa

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Recientemente se han propuesto varios métodos para modificar los factores Q y R de una matriz una vez que se ha eliminado (o añadido) una fila o una columna. Normalmente la descripción de estos métodos se efectúa en el contexto de una determinada aplicación; quizá sea ésta la causa de su escasa difusión.

On Nonadaptive Search Problem

Kolev, Emil (2003)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 91A46, 91A35. We consider nonadaptive search problem for an unknown element x from the set A = {1, 2, 3, . . . , 2^n}, n ≥ 3. For fixed integer S the questions are of the form: Does x belong to a subset B of A, where the sum of the elements of B is equal to S? We wish to find all integers S for which nonadaptive search with n questions finds x. We continue our investigation from [4] and solve the last remaining case n = 2^k , k ≥ 2. ...

Similarity transformation of matrices to one common canonical form and its applications to 2D linear systems

Tadeusz Kaczorek (2010)

International Journal of Applied Mathematics and Computer Science

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The notion of a common canonical form for a sequence of square matrices is introduced. Necessary and sufficient conditions for the existence of a similarity transformation reducing the sequence of matrices to the common canonical form are established. It is shown that (i) using a suitable state vector linear transformation it is possible to decompose a linear 2D system into two linear 2D subsystems such that the dynamics of the second subsystem are independent of those of the first one,...

An approach to the analysis of observability and controllability in nonlinear systems via linear methods

Alexey Zhirabok, Alexey Shumsky (2012)

International Journal of Applied Mathematics and Computer Science

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The paper is devoted to the problem of observability and controllability analysis in nonlinear dynamic systems. Both continuous- and discrete-time systems described by nonlinear differential or difference equations, respectively, are considered. A new approach is developed to solve this problem whose features include (i) consideration of systems with non-differentiable nonlinearities and (ii) the use of relatively simple linear methods which may be supported by existing programming systems,...

A footnote to the Poincaré complete reducibility theorem.

Henrik H. Martens (1992)

Publicacions Matemàtiques

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Poincaré's work on the reduction of Abelian integrals contains implicitly an algorithm for the expression of a theta function as a sum of products of theta functions of fewer variables in the presence of reduction. The aim of this paper is to give explicit formulations and reasonably complete proofs of Poincaré's results.

Lagrange multipliers estimates for constrained minimization.

Laureano F. Escudero (1981)

Qüestiió

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We discuss in this work the first-order, second-order and pseudo-second-order estimations of Lagrange multipliers in nonlinear constrained minimization. The paper also justifies estimations and strategies that are used by two nonlinear programming algorithms that are also briefly described.