Coefficient Problems Arising from Computation of Matrix pth root

Name: Coefficient Problems Arising from Computation of Matrix pth root
Brand: LAP Lambert Academic Publishing
SKU: 9783846554319
Price: 45.03 EUR
Availability: InStock

A Master Thesis

Автор: Minghua Lin

Език:

Корици: С меки корици

Издател: LAP Lambert Academic Publishing

Наличност: Външен склад

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45.03 € 88.07 лв

In analyzing iterative methods (eg. Newton s method and Halley s method) for the principal pth root...

Информация за книгата

Автор

Minghua Lin

Език

Английски език

Корици

Книга - С меки корици

Издадена

2011

страници

EAN

9783846554319

Enbook ID

06995938

Издател

LAP Lambert Academic Publishing

Теглоt

130

Размери

150 x 220 x 5

Пълно описание

In analyzing iterative methods (eg. Newton s method and Halley s method) for the principal pth root of a matrix, we come across some coefficient problems. These problems are in the form of determining the signs of Taylor coefficients of certain functions or function sequences. The former is relatively easy, while the latter is much more difficult. This thesis mainly deals with a conjecture on this aspect raised by Dr. Chun-Hua Guo. The validity of the conjecture will give neat error estimates of the proposed algorithms. Concerning this, I obtain a simple unified proof of the conjecture for principal square root of a matrix. Other partial results are also presented.For example, using order estimate method, I am able to determine the sign of more coefficients for Newton s method and Halley s method, respectively. Some closely related problems are also addressed. For example, I give an affirmative answer to a conjecture on a residual relation for pth root of complex numbers using first derivative technique. The first derivative technique is also used to obtain a simple proof of residual relations for Halley s method.

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Coefficient Problems Arising from Computation of Matrix pth root

A Master Thesis

Информация за книгата

Пълно описание

Може също да ви хареса

Клиенти, които купиха тази книга, купиха също