In this thesis, we investigate the spectral properties of sparse non-Hermitian random matrices, with a specific interest on their implications for ecological models. The results discussed in this ...

Abstract: The aim of the work is to identify an optimal way to take into account all the eigenvalues and eigenvectors of the sparse matrix of the system and their further use to build a macromodel of ...

This paper considers the sparse generalized eigenvalue problem (SGEP), which aims to find the leading eigenvector with at most $k$ nonzero entries. SGEP naturally ...

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Eigenvalue problems are a cornerstone of modern applied mathematics, arising in diverse fields from quantum mechanics to structural engineering. At their heart, these problems seek scalar values and ...

Abstract: The power system economy and safety demand is likely to force more and more power systems to interconnect. But the power transfer capability in the tie-lines is largely limited by small ...