Selected Nonlinear Matrix Equations

Name: Selected Nonlinear Matrix Equations
Brand: VDM Verlag
SKU: 9783639142754
Price: 304.87 RON
Availability: InStock

Autor: Sandra Fital-Akelbek

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Editura: VDM Verlag

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304.87 lei

The aim of this book is to present results about §nonlinear matrix equations, which can be useful to...

Informații despre carte

Autor

Sandra Fital-Akelbek

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2009

Pagini

144

EAN

9783639142754

ISBN

3639142756

Enbook ID

06822888

Editura

VDM Verlag

Greutate

222

Dimensiuni

152 x 229 x 9

Descriere completă

The aim of this book is to present results about §nonlinear matrix equations, which can be useful to §anyone with interest in matrix equations. This book §will also give ideas to graduate students working on §matrix equations or in numerical linear algebra.§§In this book four types of nonlinear matrix §equations are considered: Nonsymmetric Algebraic §Riccati Equation, for which it is shown, that when §the coefficient matrices form an irreducible M-§matrix, there exists a second positive solution, the §form of the second positive solution and how to find §it is also specified.§Second type is Nonsymmertic Matrix Riccati §Differential Equation - it is shown, that when the §coefficient matrices form a nonsingular M-matrix or §an irreducible singular M-matrix the equation has a §global solution and for a wide range of initial §values the global solution converges to the stable §equilibrium solution. §§In the second part of the book the plus and minus §equations are considered. An iterative method §approximating the maximal positive definite solution §is analyzed and the underlying reason for the speed §up of convergence is revealed.

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