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: 967 CZK
Availability: InStock

A Master Thesis

Autor: Minghua Lin

Jazyk:

Vazba: Brožovaná

Vydavatel: LAP Lambert Academic Publishing

Dostupnost: Skladem u dodavatele

Odesíláme za 8-11 dnů

967 Kč

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

Informace o knize

Autor

Minghua Lin

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2011

Stránek

EAN

9783846554319

Enbook ID

06995938

Vydavatel

LAP Lambert Academic Publishing

Hmotnost

130

Rozměry

150 x 220 x 5

Kompletní popis

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.

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také

Nejčastěji hledané

Categories

Authors

Publishers

Produkty

Produkty

Nejčastěji hledané

Categories

Authors

Publishers

Produkty

Produkty

Coefficient Problems Arising from Computation of Matrix pth root

A Master Thesis

Informace o knize

Kompletní popis

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také