scholarly journals Fast Matrix Based Computation of Eigenvalues and the Loewner Order in PolSAR Data

2020 ◽  
Vol 17 (10) ◽  
pp. 1727-1731 ◽  
Author(s):  
Allan Aasbjerg Nielsen
Keyword(s):  
Computation Of Eigenvalues

scholarly journals Almost Exact Computation of Eigenvalues in Approximate Differential Problems

2019 ◽  
Vol 24 (4) ◽  
pp. 96 ◽  
Author(s):  
José M. A. Matos ◽  
Maria João Rodrigues
Keyword(s):  
Eigenvalue Problems ◽  
High Accuracy ◽  
Second Step ◽  
Matlab Toolbox ◽  
Differential Problem ◽  
Algebraic Problem ◽  
Polynomial Expression ◽  
Computation Of Eigenvalues ◽  
Potential Use ◽  
Mathematics And Physics

Differential eigenvalue problems arise in many fields of Mathematics and Physics, often arriving, as auxiliary problems, when solving partial differential equations. In this work, we present a method for eigenvalues computation following the Tau method philosophy and using Tau Toolbox tools. This Matlab toolbox was recently presented and here we explore its potential use and suitability for this problem. The first step is to translate the eigenvalue differential problem into an algebraic approximated eigenvalues problem. In a second step, making use of symbolic computations, we arrive at the exact polynomial expression of the determinant of the algebraic problem matrix, allowing us to get high accuracy approximations of differential eigenvalues.

scholarly journals Computing eigenvalues of Sturm-Liouville systems of Bessel type

1999 ◽  
Vol 42 (2) ◽  
pp. 257-265 ◽  
Author(s):  
A. Boumenir ◽  
B. Chanane
Keyword(s):  
Boundary Function ◽  
Numerical Results ◽  
New Method ◽  
Sturm Liouville ◽  
Computation Of Eigenvalues ◽  
Wiener Spaces

In this paper we shall develop a new method for the computation of eigenvalues of singular Sturm-Liouville problems of the Bessel type. This new method is based on the interpolation of a boundary function in Paley-Wiener spaces. Numerical results are provided to illustrate the method.

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