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math.MG2016
A note on Brehm's extension theorem
Pavel Osinenko
Brehm's extension theorem states that a non-expansive map on a finite subset of a Euclidean space can be extended to a piecewise-linear map on the entire space. In this note, it is…
math.OC2016
A note on constructive treatment of eigenvectors
Pavel Osinenko, Grigory Devadze, Stefan Streif
The eigenvalue problem plays a central role in linear algebra and its applications in control and optimization methods. In particular, many matrix decompositions rely upon computat…