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Ali Amiri

Ali Amiri, Mahmood Fathy, Morteza Bayat
Generalization of Some Determinantal Identities for Non-Square Matrices based on Radic´s Definition
Abstract


In this paper, we focus on Radic’s definition for the determinant of non-square matrices. We develop some important properties of this determinant. We generalize several classical important determinant identities, including Dodgson’s condensation, Cauchy-Binet, and Trahan for non-square matrices. Also, we propose an efficient algorithm with teta((mn)^2) time complexity for computing Radic’s determinant based on Dodgson algorithms and dynamic programming technique.

 

 

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