An n × n ray pattern A is said to be spectrally arbitrary if for every monic nth degree polynomial f（x） with coefficients from C, there is a complex matrix in the ray pattern class of A such that its characteri...An n × n ray pattern A is said to be spectrally arbitrary if for every monic nth degree polynomial f（x） with coefficients from C, there is a complex matrix in the ray pattern class of A such that its characteristic polynomial is f（x）. In this paper, a family ray patterns is proved to be spectrally arbitrary by using Nilpotent-Jacobian method.展开更多
An n × n complex sign pattern （ray pattern） S is said to be spectrally arbitrary if for every monic nth degree polynomial f（λ） with coefficients from C, there is a complex matrix in the complex sign pattern ...An n × n complex sign pattern （ray pattern） S is said to be spectrally arbitrary if for every monic nth degree polynomial f（λ） with coefficients from C, there is a complex matrix in the complex sign pattern class （ray pattern class） of 3 such that its characteristic polynomial is f（λ）. We derive the Nilpotent-Centralizer methods for spectrally arbitrary complex sign patterns and ray patterns, respectively. We find that the Nilpotent-Centralizer methods for three kinds of patterns （sign pattern, complex sign pattern, ray pattern） are the same in form.展开更多
In this paper,the effects of first and second meridional derivative(i.e.h_s~,d^2f/dy^2,″)of the Coriolis parameter,Westerly profile and topography structure on ray routes are qualitatively analysed by use of a sim- p...In this paper,the effects of first and second meridional derivative(i.e.h_s~,d^2f/dy^2,″)of the Coriolis parameter,Westerly profile and topography structure on ray routes are qualitatively analysed by use of a sim- plified mathematical model.The analysis indicates that the second derivatives of the above relevant factors play an important role in the formation of great circle route.A profile of west wind similar to the real atmosphere may result in a“sine wave pattern”of ray.The effects of west wind shear,β factor and the slope of topography on the scale of radius of great circle,critical latitude of rays ard the amplitude of wave train of teleconnection aro also discussed.Additionally,the characters of critical velocity profile for meridionally trapped wave are men- tioned.展开更多
文摘An n × n ray pattern A is said to be spectrally arbitrary if for every monic nth degree polynomial f（x） with coefficients from C, there is a complex matrix in the ray pattern class of A such that its characteristic polynomial is f（x）. In this paper, a family ray patterns is proved to be spectrally arbitrary by using Nilpotent-Jacobian method.
基金National Natural Science Foundation of China(Grant No.11071227)Shanxi Scholarship Councilof China(Grant No.12-070)
文摘An n × n complex sign pattern （ray pattern） S is said to be spectrally arbitrary if for every monic nth degree polynomial f（λ） with coefficients from C, there is a complex matrix in the complex sign pattern class （ray pattern class） of 3 such that its characteristic polynomial is f（λ）. We derive the Nilpotent-Centralizer methods for spectrally arbitrary complex sign patterns and ray patterns, respectively. We find that the Nilpotent-Centralizer methods for three kinds of patterns （sign pattern, complex sign pattern, ray pattern） are the same in form.
基金supported jointly by National Natural Science Foundation of Chinathe State Meteorological Administration Monsoon Research Funds
文摘In this paper,the effects of first and second meridional derivative(i.e.h_s~,d^2f/dy^2,″)of the Coriolis parameter,Westerly profile and topography structure on ray routes are qualitatively analysed by use of a sim- plified mathematical model.The analysis indicates that the second derivatives of the above relevant factors play an important role in the formation of great circle route.A profile of west wind similar to the real atmosphere may result in a“sine wave pattern”of ray.The effects of west wind shear,β factor and the slope of topography on the scale of radius of great circle,critical latitude of rays ard the amplitude of wave train of teleconnection aro also discussed.Additionally,the characters of critical velocity profile for meridionally trapped wave are men- tioned.
