Fast Algorithm for the Inverse Matrices of Adding Element Tridiagonal Periodic Matrices in Signal Processing

2010 ◽  
Vol 121-122 ◽  
pp. 682-686
Author(s):  
Yan Lei Zhao ◽  
Xue Ting Liu
Keyword(s):  
Signal Processing ◽  
Finite Difference ◽  
Boundary Value Problems ◽  
Difference Equations ◽  
Fast Algorithm ◽  
Boundary Value ◽  
Finite Difference Methods ◽  
Practical Applications ◽  
Tridiagonal Matrices ◽  
Difference Methods

Adding element tridiagonal matrices play a very important role in the theory and practical applications, such as the boundary value problems by finite difference methods, interpolation by cubic splines, three-term difference equations and so on. In this paper, we give a fast algorithm for the Inverse Matrices of periodic adding element tridiagonal matrices.

Fast Algorithm for the Inverse Matrices of Periodic Adding Element Tridiagonal Matrices

2010 ◽  
Vol 159 ◽  
pp. 464-468
Author(s):  
Hong Ling Fan
Keyword(s):  
Finite Difference ◽  
Boundary Value Problems ◽  
Linear Systems ◽  
Difference Equations ◽  
Fast Algorithm ◽  
Boundary Value ◽  
Finite Difference Methods ◽  
Triangular Factorization ◽  
Tridiagonal Matrices ◽  
Difference Methods

Adding element tridiagonal periodic matrices have an important effect for the algorithms of solving linear systems，computing the inverses, the triangular factorization，the boundary value problems by finite difference methods, interpolation by cubic splines, three-term difference equations and so on. In this paper, we give a fast algorithm for the Inverse Matrices of periodic adding element tridiagonal matrices.

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