Results 51 to 60 of about 9,941 (162)
Classical orthogonal polynomials and Leverrier-Faddeev algorithm for the matrix pencils sE−A
International Journal of Mathematics and Mathematical Sciences, 2006 In this contribution we present an extension of the Leverrier-Faddeev algorithm for the simultaneous computation of the determinant and the adjoint matrix B(s) of a pencil sE−A where E is a singular matrix but det(sE−A)≢0. Using a previous result by the
Javier Hernández, Francisco Marcellán
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Low-Rank Methods for Solving Discrete-Time Projected Lyapunov Equations
MathematicsIn this paper, we consider the numerical solution of large-scale discrete-time projected Lyapunov equations. We provide some reasonable extensions of the most frequently used low-rank iterative methods for linear matrix equations, such as the low-rank ...
Yiqin Lin
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Time-Frequency Analysis of Clinical Percussion Signals Using Matrix Pencil Method
Journal of Electrical and Computer Engineering, 2015 This paper discusses time-frequency analysis of clinical percussion signals produced by tapping over human chest or abdomen with a neurological hammer and recorded with an air microphone.
Moinuddin Bhuiyan +5 more
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Coding Prony’s method in MATLAB and applying it to biomedical signal filtering
BMC Bioinformatics, 2018 Background The response of many biomedical systems can be modelled using a linear combination of damped exponential functions. The approximation parameters, based on equally spaced samples, can be obtained using Prony’s method and its variants (e.g.
A. Fernández Rodríguez +5 more
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A transformer acoustic signal analysis method based on matrix pencil and hybrid deep neural network
Frontiers in Energy ResearchAcoustic signal analysis is an important component of transformer online monitoring. Currently, traditional methods have problems such as low spectral resolution, imbalanced sample distribution, and unsatisfactory classification performance. This article
Qizhe Zhang +4 more
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2D scattering centre intensity pre-estimated method based on matrix pencil method
The Journal of Engineering, 2019 The accuracy of ultra wide band (UWB) scattering centre parameter estimation is the key bases in the study of target classification and identification. A novel 2D scattering centre parameter estimation algorithm for microwave chamber target is presented ...
Jun Wang, Yao Lu, Shaoming Wei
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Journal of Computational and Applied Mathematics, 1991 Typical matrix eigenvalue problems, quadratic or linear, are best formulated as pencils \((A,M)\) in which both \(A\) and \(M\) are real and symmetric. This fact is emphasized in the paper through a set of physical examples. Then, the canonical forms are used to explain the role of the sign characteristic attached to real eigenvalues.
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Journal of Applied Mathematics, 2012 The eigenvalues and the stability of a singular neutral differential system with single delay are considered. Firstly, by applying the matrix pencil and the linear operator methods, new algebraic criteria for the imaginary axis eigenvalue are derived ...
Jian Ma, Baodong Zheng, Chunrui Zhang
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A Matrix Pencil Approach to the Morgan’s Problem
Circuits, Systems, and Signal ProcessingThe problem of decoupling a nonsquare state space system by state feedback with singular input transformation is considered. The problem is solved by conducting a finite search for decouplable square systems, appropriately derived from the original. Decoupling feedback on any of these systems defines the decoupling feedback for the original.
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An Algebraic Method on the Eigenvalues and Stability of Delayed Reaction-Diffusion Systems
Discrete Dynamics in Nature and Society, 2013 The eigenvalues and stability of the delayed reaction-diffusion systems are considered using the algebraic methods. Firstly, new algebraic criteria to determine the pure imaginary eigenvalues are derived by applying the matrix pencil and the linear ...
Jian Ma, Baodong Zheng
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