TY  - BOOK
AU  - Wachspress,Eugene
ED  - SpringerLink (Online service)
TI  - The ADI Model Problem
SN  - 9781461451228
AV  - TA329-348 
U1  - 519 23
PY  - 2013///
CY  - New York, NY
PB  - Springer New York, Imprint: Springer
KW  - Engineering
KW  - Matrix theory
KW  - Algebra
KW  - Partial differential equations
KW  - Numerical analysis
KW  - Applied mathematics
KW  - Engineering mathematics
KW  - Thermodynamics
KW  - Heat engineering
KW  - Heat transfer
KW  - Mass transfer
KW  - Control engineering
KW  - Robotics
KW  - Mechatronics
KW  - Appl.Mathematics/Computational Methods of Engineering
KW  - Numerical Analysis
KW  - Control, Robotics, Mechatronics
KW  - Partial Differential Equations
KW  - Engineering Thermodynamics, Heat and Mass Transfer
KW  - Linear and Multilinear Algebras, Matrix Theory
N1  - The Peaceman-Rachford Model Problem -- The Two-Variable ADI Problem -- Model Problems and Preconditioning -- Complex Spectra -- Lyapunov and Sylvester Matrix Equations -- MATLAB Implementation
N2  - The ADI Model Problem presents the theoretical foundations of Alternating Direction Implicit (ADI) iteration for systems with both real and complex spectra and extends early work for real spectra into the complex plane with methods for computing optimum iteration parameters for both one and two variable problems. This book provides application of theory to the solution of boundary value problems and description of stable similarity reduction of a full matrix to low-band upper Hessenberg form, with application to computation of eigenvalues and solution of Lyapunov and Sylvester equations. Also included are MATLAB programs and numerical verification of theory and applications. This book also: Provides complete ADI theory for both real and complex spectra with one or two variables  Includes application to Lyapunov and Sylvester equations of full or low rank  Offers new similarity reduction of matrices from full to banded form  Presents new application to low-rank control theory problems across a range of engineering disciplines Features MATLAB programs for implementation The ADI Model Problem is an ideal book for engineers in multiple disciplines interested in better understanding new ADI applications
UR  - http://dx.doi.org/10.1007/978-1-4614-5122-8
ER  -