Since this formula can produce a specific normed eigenvector value of the ith row and jth column, "This may be useful when dealing with large matrices and only a few eigenvector values are needed." ...

Eigenvectors are used throughout the physical and social sciences to reduce the dimension of complex problems to manageable levels and to distinguish signal from noise. Our research identifies and ...

Abstract: A new eigenvector-based robust adaptive beamforming (ABF) algorithm is presented for use with passive sonar arrays. Robustness refers to protection against self-nulling in the presence of ...

Abstract Let A be an n × n Hermitian matrix and A = UΛUH be its spectral decomposition, where U is a unitary matrix of order n and Λ is a diagonal matrix. In this note we present the perturbation ...

Abstract: The centrality of vertices has been the key issue in social network analysis. Many centrality measures have been presented, such as degree, closeness, between's and eigenvector centrality.