Download or read book Group Properties of the Residue Classes of Certain Kronecker Modular Systems and Some Related Generalizations in Number Theory written by Edward August Theodore Kircher and published by . This book was released on 1915 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Group Properties of the Residue Classes of Certain Kronecker Modular Systems and Some Related Generalizations in Number Theory written by Edward August Theodore Kircher and published by . This book was released on 1914 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bulletin new Series of the American Mathematical Society written by and published by . This book was released on 1916 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Transactions of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1919 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1914 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Catalog of the Library written by American Mathematical Society and published by . This book was released on 1925 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book written by and published by . This book was released on 1916 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Catalogue and Circular 1878 79 1884 85 Circular of the Illinois Industrial University later of the University of Illinois written by University of Illinois (Urbana-Champaign campus) and published by . This book was released on 1915 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Catalogue of the Library written by American Mathematical Society and published by . This book was released on 1925 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Catalogue of the Library Supplement written by American Mathematical Society and published by . This book was released on 1947 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Revue Semestrielle Des Publications Math matiques written by and published by . This book was released on 1916 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Comprehensive Dissertation Index written by and published by . This book was released on 1973 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dictionary Catalog of the Research Libraries of the New York Public Library 1911 1971 written by New York Public Library. Research Libraries and published by . This book was released on 1979 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Generalizations Of Steinberg Groups written by Tom Fournelle and published by World Scientific. This book was released on 1996-10-25 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Steinberg relations are the commutator relations which hold between elementary matrices in a special linear group. This book generalizes these sorts of relations. To encode these relations one needs a ring and a so-called linkage graph which specifies exactly which commutator relations hold. The groups obtained here, called linkage groups, have an enormous number of interesting images, finite and infinite. Among these images are, for example, 25 of the 26 finite sporadic simple groups. The book deals with the structure and classification of linkage groups. Part of the work involves theoretical group combinatorics and the other part involves computer calculations to study the linkage structure of various interesting groups. The book will be of value to researchers and graduate students in combinatorial and computational group theory.
Download or read book Spectral Properties of Structured Kronecker Products and Their Applications written by Nargiz Kalantarova and published by . This book was released on 2019 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study certain spectral properties of some fundamental matrix functions of pairs of symmetric matrices. Our study includes eigenvalue inequalities and various interlacing properties of eigenvalues. We also discuss the role of interlacing in inverse eigenvalue problems for structured matrices. Interlacing is the main ingredient of many fundamental eigenvalue inequalities. This thesis also recounts a historical development of the eigenvalue inequalities relating the sum of two matrices to its summands with some recent findings motivated by problems arising in compressed sensing. One of the fundamental matrix functions on pairs of matrices is the Kronecker product. It arises in many fields such as image processing, signal processing, quantum information theory, differential equations and semidefinite optimization. Kronecker products enjoy useful algebraic properties that have proven to be useful in applications. The less-studied symmetric Kronecker product and skew-symmetric Kronecker product (a contribution of this thesis) arise in semidefinite optimization. This thesis focuses on certain interlacing and eigenvalue inequalities of structured Kronecker products in the context of semidefinite optimization. A popular method used in semidefinite optimization is the primal-dual interior point path following algorithms. In this framework, the Jordan-Kronecker products arise naturally in the computation of Newton search direction. This product also appears in many linear matrix equations, especially in control theory. We study the properties of this product and present some nice algebraic relations. Then, we revisit the symmetric Kronecker product and present its counterpart the skew-symmetric Kronecker product with its basic properties. We settle the conjectures posed by Tunçel and Wolkowicz, in 2003, on interlacing properties of eigenvalues of the Jordan-Kronecker product and inequalities relating the extreme eigenvalues of the Jordan-Kronecker product. We disprove these conjectures in general, but we also identify large classes of matrices for which the interlacing properties hold. Furthermore, we present techniques to generate classes of matrices for which these conjectures fail. In addition, we present a generalization of the Jordan-Kronecker product (by replacing the transpose operator with an arbitrary symmetric involution operator). We study its spectral structure in terms of eigenvalues and eigenvectors and show that the generalization enjoys similar properties of the Jordan-Kronecker product. Lastly, we propose a related structure, namely Lie-Kronecker products and characterize their eigenvectors.
Download or read book Comprehensive Dissertation Index 1861 1972 Author index written by Xerox University Microfilms and published by . This book was released on 1973 with total page 1128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
