On equations that are equivalent to the nonlinear matrix equation
โ Scribed by Xing Tao Wang; Yuan Min Li
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 285 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
โฆ Synopsis
The nonlinear matrix equation X -1
The necessary and sufficient conditions for the existence of a positive definite solution of X -1
In the process, two iterative algorithms are obtained. Estimations of the errors of the iterative algorithms are derived. Two numerical examples are given that demonstrate that the iterative algorithms are applicable.
๐ SIMILAR VOLUMES
It is shown that the solution to every matrix Riccati equation can be generated by the resolvent of a certain Fredholm integral operator and, conversely, this resolvent can be determined from the corresponding Riccati solution. This result leads to a computational scheme, based on initial-value meth