|
|
|
NONHOMOGENEOUS MATRIX PRODUCTS
by Darald J Hartfiel (Texas A&M University, USA)
Infinite products of matrices are used in nonhomogeneous Markov chains, Markov set-chains, demographics, probabilistic automata, production and manpower systems, tomography, and fractals. More recent results have been obtained in computer design of curves and surfaces.
This book puts together much of the basic work on infinite products of matrices, providing a primary source for such work. This will eliminate the rediscovery of known results in the area, and thus save considerable time for researchers who work with infinite products of matrices. In addition, two chapters are included to show how infinite products of matrices are used in graphics and in systems work.
Contents:
- Functionals
- Semigroups of Matrices
- Patterned Matrices
-
Ergodicity
- Convergence
- Continuous Convergence
- Paracontracting
- Set Convergence
- Perturbations in Matrix Sets
- Graphics
- Slowly Varying Products
- Systems
Readership: Researchers in applied mathematics, numerical and
computational mathematics, industrial engineering, chaos and dynamical systems.
"The author's intention is to put together a primary source, partly to preclude rediscovery of known results ... The book is a valuable companion ..."
| Mathematical Reviews, 2002 |
"... this monograph is a highly readable and most welcome addition to the body of literature on matrix analysis, and will be of great use to both theoreticians and practitioners interested in products of matrices."
| 236pp |
Pub. date: Jan 2002 |
|
|
