Recursive algorithm for computing the matrix partial fraction expansion of transfer matrices having multiple quadratic poles

1994 ◽  
Vol 60 (6) ◽  
pp. 1393-1400
Author(s):  
SEVDA ÇOBAN ◽  
ALPER URAZ
Keyword(s):  
Recursive Algorithm ◽  
Partial Fraction ◽  
Transfer Matrices ◽  
Partial Fraction Expansion ◽  
The Matrix

Orthonormal Isotropic Vector Bases

1998 ◽  
Author(s):  
Namik Ciblak ◽  
Harvey Lipkin
Keyword(s):  
Recursive Algorithm ◽  
Computer Applications ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Orthonormal Bases ◽  
Isotropic Vector ◽  
The Matrix ◽  
Necessary And Sufficient ◽  
Deviatoric Stresses ◽  
Isotropic Vectors

Abstract Orthonormal bases of isotropic vectors for indefinite square matrices are proposed and solved. A necessary and sufficient condition is that the matrix must have zero trace. A recursive algorithm is presented for computer applications. The isotropic vectors of 3 × 3 matrices are solved explicitly. Deviatoric stresses in continuum mechanics, the existence of isotropic vectors (particularly in screw space), and stiffness synthesis by springs are shown to be related to the isotropic vector problem.

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