Spectral Theory of Nonnegative Tensors
Higher-order tensors are natural extensions of matrices;matrices are order-2 tensors.However,higher-order tensors represent multilinear maps,which are nonlinear,unlike matrices.The spectral theory of matrices plays a fundamental role in many branches of mathematics as well as a multitude of applied sciences.In contrast to the well robust theory of matrices,the development of the spectral theory for tensors is still at its early stages.In recent years,with the rapid flow of massive data in this digital world,the demand for effective and etficient data-processing and data-managing algorithms finds its way in connection with the spectral theory of tensors.In particular,such key concepts as rank and eigenvalues-eigenvectors of a given tensor are getting more intriguing and challenging to researchers today.
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2013-05-23（万方平台首次上网日期，不代表论文的发表时间）
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