Results 81 to 90 of about 33,431,346 (225)
Matrix methods for polynomials
AbstractFor every complex polynomial a set of special matrices with the characteristic polynomial p will be given. This enables us to apply the Gerschgorin theorem.
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A spectrum adaptive kernel polynomial method
The kernel polynomial method (KPM) is a powerful numerical method for approximating spectral densities. Typical implementations of the KPM require an a prior estimate for an interval containing the support of the target spectral density, and while such estimates can be obtained by classical techniques, this incurs addition computational costs.
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Hybrid kernel polynomial method
The kernel polynomial method allows to sample overall spectral properties of a quantum system, while sparse diagonalization provides accurate information about a few important states. We present a method combining these two approaches without loss of performance or accuracy.
Irfan, Muhammad +6 more
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Modelling guided waves in anisotropic plates using the Legendre polynomial method
A numerical method to compute phase dispersion curve in unidirectional laminate is described. The basic feature of the proposed method is the expansion of fields quantities in single layer on different polynomial bases.
Zheng Mingfang, He Cunfu, Lu Yan, Wu Bin
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4D Track Prediction of Aircraft Based on Improved Sliding Window Polynomial Fitting Method
Accurate track prediction is the basis for improving the early warning capability for air threat situation of anti-collision, for this reason, an improved sliding window polynomial fitting track prediction method is proposed to intrusion aircraft.
Zhang Jianxiang +3 more
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This paper proposes a method to synthesize a decentralized polynomial observer for the large-scale nonlinear system. The polynomial Takagi-Sugeno (T-S) fuzzy framework is employed to model the large-scale nonlinear system to increase the accuracy and ...
Van-Phong Vu, Van-Thuyen Ngo, Yi Ding
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Constructing Polynomial Block Methods
The recently introduced polynomial time integration framework proposes a novel way to construct time integrators for solving systems of first-order ordinary differential equation by using interpolating polynomials in the complex time plane. In this work we continue to develop the framework by introducing several additional types of polynomials and ...
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Algebraic Methods for Modified Orthogonal Polynomials [PDF]
Some algebraic methods are given to implement Uvarov’s extended Christoffel theorem. The stability of the algorithms is discussed.
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Polar Varieties and Efficient Real Equation Solving: The Hypersurface Case
The objective of this paper is to show how the recently proposed method by Giusti, Heintz, Morais, Morgenstern, Pardo \cite{gihemorpar} can be applied to a case of real polynomial equation solving.
Bank, B. +4 more
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Regional geomagnetic field models can provide detailed insights into the geomagnetic field and are of substantial value for precise maritime navigation and the detection of marine targets. In light of the polynomial model’s numerous advantages, including
Bo Zhu +4 more
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