Algebraic Ricatti matrix equation and its application in structural mechanics

Subject Areas : Analysis of Structure and Earthquake

Mefdi  nouri ¹ ()

Received: 2015-04-25 Accepted : 2015-05-12 Published : 2015-12-21

Keywords: Symmetric matrix, Rykaty matrix equation, Eigenvalues, Similar transformations, Orthogonal transformations, Canonical form, Matrix decomposition,

Abstract :

In this paper the algebraic Riccati matrix equation is used for eigen-decomposition of per-symmetric matrices. This is achieved by similarity transformation and using the algebraic Riccati matrix equation. The process is the decomposition of matrices into small and specially structured sub-matrices with low dimensions for easy finding of eigenpairs. Example show the efficiency of the proposed method.