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, 2017 Random matrix theory deals with the study of matrix-valued random variables. It is conventionally considered that random matrix theory dates back to the work of Wishart in 1928 [1] on the properties of matrices of the type XX † with X ε ℂ N×n a random matrix with independent Gaussian entries with zero mean and equal variance.
Couillet, Romain, Debbah, Merouane
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, 2011 The aim of this book is to concisely present fundamental ideas, results, and techniques in linear algebra and mainly matrix theory." "The book can be used as a text or a supplement for a linear algebra and matrix theory class or seminar for advanced undergraduate or graduate students.
Zhang, Fuzhen, Fuzhen Zhang
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2007 IEEE International Conference on Systems, Man and Cybernetics, 2007
A contingency table summarizes the conditional frequencies of two attributes and shows how these two attributes are dependent on each other with the information on a partition of universe generated by these attributes. This paper discusses statistical independence in a contingency table from the viewpoint of matrix theory.
Shusaku Tsumoto, Shoji Hirano
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A contingency table summarizes the conditional frequencies of two attributes and shows how these two attributes are dependent on each other with the information on a partition of universe generated by these attributes. This paper discusses statistical independence in a contingency table from the viewpoint of matrix theory.
Shusaku Tsumoto, Shoji Hirano
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IEEE Transactions on Pattern Analysis and Machine Intelligence, 1992
The current concept of mathematical morphology (called scalar morphology here) is extended to a matrix morphology formalism. A formal definition of matrix morphology on binary images is followed by a complete pictorial example of a nontrivial application.
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The current concept of mathematical morphology (called scalar morphology here) is extended to a matrix morphology formalism. A formal definition of matrix morphology on binary images is followed by a complete pictorial example of a nontrivial application.
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, 1999 The aim of this book is to concisely present fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. The book can be used as a text or a supplement for a linear algebra and matrix theory class or seminar for advanced ...
Zhang, Fuzhen
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A Note on Postian Matrix Theory
International Journal of Algebra and Computation, 1997The present paper is devoted to some aspects of postian matrix theory over an arbitrary Post algebra, through results in Postian relative–pseudocomplementation. It is well known (for instance Rousseau [10] or Dwinger [6]) that any r-Post algebra is a Brouwerian lattice (or a Heyting algebra), that is to say, for every (a, b) in P2, the set of x in P ...
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A Survey of Matrix Theory and Matrix Inequalities.
The American Mathematical Monthly, 1965A. S. H., Marvin Marcus, Henryk Minc
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Cleaning large correlation matrices: Tools from Random Matrix Theory
Physics Reports, 2017Joel Bun +2 more
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On the density matrix based approach to time-dependent density functional response theory
Journal of Chemical Physics, 2001Filipp Furche, Furche Filipp
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