A Study of Inverse Problems Based on Two Kinds of Special Matrix Equations in Euclidean Space | Zendy

Rui Huang | Zendy; Xiaodong Wu | Zendy; Ruihe Wang | Zendy; Hui Li | Zendy

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A Study of Inverse Problems Based on Two Kinds of Special Matrix Equations in Euclidean Space

Author(s) -

Rui Huang,

Xiaodong Wu,

Ruihe Wang,

Hui Li

Publication year - 2014

Publication title -

algebra

Language(s) - English

Resource type - Journals

eISSN - 2314-4114

pISSN - 2314-4106

DOI - 10.1155/2014/392467

Subject(s) - mathematics , matrix (chemical analysis) , euclidean space , inverse , coefficient matrix , space (punctuation) , inverse problem , generalized inverse , euclidean geometry , mathematical analysis , pure mathematics , computer science , eigenvalues and eigenvectors , geometry , physics , materials science , quantum mechanics , composite material , operating system

Two special classes of symmetric coefficient matrices were defined based on characteristics matrix; meanwhile, the expressions of the solution to inverse problems are given and the conditions for the solvability of these problems are studied relying on researching. Finally, the optimal approximation solution of these problems is provided

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