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- W2022067462 abstract "We are interested in computing the minimal positive solution of a nonsymmetric algebraic Riccati equation arising in transport theory. We show that this computation can be done via computing only the minimal positive solution of a vector equation, which is derived from the special form of solutions of the Riccati equation. A simple iterative method is presented for solving the vector equation. The simple iteration is much more efficient than the Gauss--Jacobi method presented by Juang in [Linear Algebra Appl., 230 (1995), pp. 89--100] for the Riccati equation. The symmetric case and bounds of the minimal positive solution are also considered. Numerical experiments are given." @default.
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- W2022067462 date "2005-01-01" @default.
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- W2022067462 title "Solution Form and Simple Iteration of a Nonsymmetric Algebraic Riccati Equation Arising in Transport Theory" @default.
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- W2022067462 doi "https://doi.org/10.1137/s0895479801397275" @default.
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