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: 16350 HUF
Availability: InStock

A Master Thesis

Szerző: Minghua Lin

Nyelv:

Kötés: Puha kötésű

Kiadó: LAP Lambert Academic Publishing

Elérhetőség: Beszállítói készleten

Küldés 8-11 napon belül

16 350 Ft

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

Információk a könyvről

Szerző

Minghua Lin

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2011

oldal

EAN

9783846554319

Enbook ID

06995938

Kiadó

LAP Lambert Academic Publishing

Súly

130

Méretek

150 x 220 x 5

Teljes leírás

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

Információk a könyvről

Teljes leírás

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Azok a vásárlók, akik ezt a könyvet megvásárolták, a következőket is megvásárolták