Solution of a nonsymmetric algebraic Riccati equation from a one-dimensional multistate transport model | Zendy

T. Li | Zendy; Eric King-wah Chu | Zendy; Jonq Juang | Zendy; W.-W. Lin | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Solution of a nonsymmetric algebraic Riccati equation from a one-dimensional multistate transport model

Author(s) -

T. Li,

Eric King-wah Chu,

Jonq Juang,

W.-W. Lin

Publication year - 2011

Publication title -

ima journal of numerical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.672

H-Index - 66

eISSN - 1464-3642

pISSN - 0272-4979

DOI - 10.1093/imanum/drq034

Subject(s) - mathematics , riccati equation , diagonal , algebraic riccati equation , computation , algebraic number , algebraic equation , differential equation , newton's method , fixed point , set (abstract data type) , mathematical analysis , nonlinear system , algorithm , geometry , physics , quantum mechanics , computer science , programming language

For the steady-state solution of a differential equation from a one-dimensional multistate model in transport theory, we shall derive and study a nonsymmetric algebraic Riccati equation B− – XF− – F+X + XB+X = 0, where F± ≡ (I – F)D± and B± ≡ BD± with positive diagonal matrices D± and possibly low-ranked matrices F and B. We prove the existence of the minimal positive solution X* under a set of ph...

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research