Wyniki wyszukiwania - BazTech

1

The Development of Iteration Method for Optimization of Pair "Signal-filter"

Koshevyy V.M., Gorishna I.

TransNav : International Journal on Marine Navigation and Safety of Sea Transportation

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2018

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Vol. 12, no. 3

541--544

EN

This paper is devoted to the improvement of the working methods of the "signal-filter" pair using an iterative procedure to maximize the signal-to-noise ratio, namely, to highlight the useful signals to provide information about the environment during the adaptive radar sensing in the conditions of obstacles. An algorithm for determining the optimal filter for suppressing undesired side lobes is proposed, which allows improving the process of detection and identification the target objects. Qualitative characteristics and the stages of space-time signal processing in the radar were justified under correlation conditions (ССF) between the received and expected signals. The using of probing radar signals, shortened in their duration were proposed in order to reduce the power of reflections from the underlying surface and increase the contrast of the radar image. A simulation test of the developed methodology was carried out in order to confirm the reliability of the proposed algebraic expressions using a mathematical model implemented in the Matlab programming environment, and a conclusion is drawn about the practical quality of the technical solutions developed on the basis of the iteration method.

2

Collocation method based on barycentric interpolation iteration for analysis of nonlinear microbeams

Zhuang M., Miao C., Wang Z.

Journal of Theoretical and Applied Mechanics

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2018

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Vol. 56 nr 3

741--749

EN

A powerful computational methodology, named the barycentric Lagrange interpolation iteration collocation method (BLIICM), for solving nonlinear bending problems of a doubly clamped microbeam under electrostatic loads is presented. The nonlinear governing equation of the microbeam is converted into a linear diﬀerential equation by assuming the initial function. The barycentric Lagrange interpolation collocation method (BLICM) is used to solve the linear diﬀerential equation. The direct linearization formulations and Newton linearization calculation formulations for the nonlinear diﬀerential equation have been given. The calculation method and formulation of the nonlinear integral term have been discussed in details. By applying a barycentric Lagrange interpolation diﬀerential matrix, a matrix-vector calculation formula of BLIICM has been established. Numerical results of calculation examples show that the advantages of the proposed methodology are eﬃcient, simple and of high precision.

3

Stability of a new iteration method for strongly pseudocontractive mappings

Stević S.

Demonstratio Mathematica

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2003

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Vol. 36, nr 2

404--412

EN

In this note we prove that a recently introduced iteration procedure is almost stable with respect to strong pseudocontractions in real uniformly Banach spaces.

4

On stability results for a new approximating fixed points iteration process

Stevic S.

Demonstratio Mathematica

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2001

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Vol. 34, nr 4

873-880

EN

In this note we give proofs of two stability results for fixed point iteration procedures recently introduced.

5

Some variant of iteration method for infinite systems of parabolic differential-functional equations

Brzychczy S.

Opuscula Mathematica

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2000

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Vol. 20

41-50

EN

We consider the Fourier first boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations of parabolic type. The right-hand sides of the system are functionals of unknown functions and this system being thus essentially coupled by the functional argument. To prove the existence and uniqueness of solution to this problem, we shall apply some variant of monotone iterative method. This variant of successive approximations by pseudo-linearization of the nonlinear problem has been introduced by T. Ważewski.

PL

W pracy rozważany jest pierwszy problem brzegowy Fouriera dla nieskończonego słabo sprzężonego układu równań różniczkowo- -funkcjonalnych typu parabolicznego. Prawe strony tego układu zależą w sposób funkcjonalny od poszukiwanego rozwiązania i układ jest sprzężony poprzez argument funkcjonalny. Do dowodu istnienia i jednoznaczności zastosowano pewien wariant monotonicznej metody iteracyjnej. Taka metoda konstrukcji ciągów kolejnych przybliżeń poprzez pseudo-linearyzację problemu nieliniowego została zaproponowana przez T. Ważewskiego.