UM ETheses Collection (澳門大學電子學位論文庫)
 Title

An iterative method for inverse eigenvalue problems and some Ostrowskilike inequalities
 English Abstract

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In this thesis, we consider two interesting problems on computational mathematics, named inverse eigenvalue problems and Ostrowskilike type integral inequalities. We first give an introduction in Chapter 1. In Chapter 2, we propose a GaussNewtonlike method for finding least squares solutions to inverse eigenvalue problems. We show that the proposed method converges under some mild conditions. In particular, if the method converges to the exact solution, the convergence rate is at least quadratic in the root sense. Numerical examples are given to justify the theoretical result. In Chapter 3, we consider some Ostrowskilike type integral inequalities proposed by Huy and Ngˆo. We give some improvements of these inequalities which are inspired by a result established recently. An example is also given to verify our improvements. This thesis ends with a chapter of a brief conclusion.
 Issue date

2013.
 Author

Wang, Zhi Bo,
 Faculty

Faculty of Science and Technology
 Department

Department of Mathematics
 Degree

M.Sc.
 Subject

Eigenvalues
Integral inequalities
Inequalities (Mathematics)
 Supervisor

Vong, Seak Weng
 Files In This Item
 Location
 1/F Zone C
 Library URL
 991004667049706306