In this work, the notion of extended eigenvalues of a 2 × 2 lower triangular operator matrix has been researched. More precisely, the relations between the extended spectrum of a 2 × 2 lower ...

Many quantum algorithms are developed to evaluate eigenvalues for Hermitian matrices. However, few practical approach exists for the eigenanalysis of non-Hermintian ones, such as arising from modern ...

Many ecological systems are subject critical transitions, which are abrupt changes to contrasting states triggered by small changes in some key component of the system. Temporal early warning signals ...