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- W2316340480 abstract "In this paper, we investigate the nonlinear matrix equations X+A*XqA=Q(0<q≤1) and X−A*XqA=Q(q>1). Necessary and sufficient conditions for the (unique) existence of Hermitian positive definite solutions of these equations are derived. Effective iterative algorithms are also provided to obtain the unique solution of X+A*XqA=Q(0<q≤1) and the minimal and maximal Hermitian positive definite solutions of X−A*XqA=Q(q>1). Numerical examples are included to illustrate the efficiency of the presented iteration algorithms." @default.
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- W2316340480 date "2015-11-01" @default.
- W2316340480 modified "2023-09-26" @default.
- W2316340480 title "On positive definite solutions of the nonlinear matrix equationsX±A*XqA=Q" @default.
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- W2316340480 doi "https://doi.org/10.1016/j.amc.2015.09.002" @default.
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