We study the Hermitian positive definite solutions of the matrix equation X +A*X^-qA = I with q > 0. Some properties of the solutions and the basic fixed point iterations for the equation are also discussed in some...We study the Hermitian positive definite solutions of the matrix equation X +A*X^-qA = I with q > 0. Some properties of the solutions and the basic fixed point iterations for the equation are also discussed in some detail. Some of results in [Linear Algebra Appl., 279 (1998), 303-316], [Linear Algebra Appl., 326 (2001),27-44] and [Linear Algebra Appl. 372 (2003), 295-304] are extended.展开更多
A box model of the interhemispheric thermohaline circulation (THC) in atmosphere-ocean for global climate is considered. By using the generalized variational iteration method, the approximate solution of a simplifie...A box model of the interhemispheric thermohaline circulation (THC) in atmosphere-ocean for global climate is considered. By using the generalized variational iteration method, the approximate solution of a simplified nonlinear model is studied. The generalized variational iteration method is an analytic method, and the obtained analytic solution can be operated sequentially. The authors also diversify qualitative and quantitative behaviors for corresponding physical quantities.展开更多
文摘We study the Hermitian positive definite solutions of the matrix equation X +A*X^-qA = I with q > 0. Some properties of the solutions and the basic fixed point iterations for the equation are also discussed in some detail. Some of results in [Linear Algebra Appl., 279 (1998), 303-316], [Linear Algebra Appl., 326 (2001),27-44] and [Linear Algebra Appl. 372 (2003), 295-304] are extended.
基金This research is supported by the National Natural Science Foundation of China under Grant Nos. 40576012 and 90111011, the State Key Development Program for Basics Research of China under Grant No. 2004CB418304, the Key Project of the Chinese Academy of Sciences under Grant No. KZCX3-SW-221 and in part by E- Institutes of Shanghai Municipal Education Commission under Grant No. E03004.
文摘A box model of the interhemispheric thermohaline circulation (THC) in atmosphere-ocean for global climate is considered. By using the generalized variational iteration method, the approximate solution of a simplified nonlinear model is studied. The generalized variational iteration method is an analytic method, and the obtained analytic solution can be operated sequentially. The authors also diversify qualitative and quantitative behaviors for corresponding physical quantities.