University of Twente Student Theses


Testing Copositivity in Pentadiagonal Matrices

Bree, Sjoerd van (2022) Testing Copositivity in Pentadiagonal Matrices.

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Abstract:Testing a matrix for copositivity can in general not efficiently be done. Therefore, it is of interest to find as many classes of matrices as possible for which there exists a better method. We propose an algorithm based on eliminating block diagonal principal submatrices to check copositivity for pentadiagonal matrices. We found this algorithm runs in O(φ^n*n^4), where φ is the golden ratio. Tests were performed on the algorithm to compare it to the generic method.
Item Type:Essay (Bachelor)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:54 computer science
Programme:Computer Science BSc (56964)
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