Explicit Solutions for a Riccati Equation from Transport Theory
نویسندگان
چکیده
Abstract We derive formulas for the minimal positive solution of a particular non-symmetric Riccati equation arising in transport theory. The formulas are based on the eigenvalues of an associated matrix. We use the formulas to explore some new properties of the minimal positive solution and to derive fast and highly accurate numerical methods. Some numerical tests demonstrate the properties of the new methods.
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ورودعنوان ژورنال:
- SIAM J. Matrix Analysis Applications
دوره 30 شماره
صفحات -
تاریخ انتشار 2008