Combinatorial matrix theory and generalized inverses of matrices
Delves into two very important contemporary areas in linear algebra, namely combinatorial matrix theory and generalized inverses. Covers a wide range of topics of interest such as graph theory, linear algebra, numerical methods and statistical inference.
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Corporate Authors: | |
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Published: |
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Literature type: | Electronic eBook |
Language: | English |
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Online Access: |
http://dx.doi.org/10.1007/978-81-322-1053-5 |
Summary: |
Delves into two very important contemporary areas in linear algebra, namely combinatorial matrix theory and generalized inverses. Covers a wide range of topics of interest such as graph theory, linear algebra, numerical methods and statistical inference. |
Carrier Form: | 1 online resource (xvii, 277 p.) |
Bibliography: | Includes bibliographical references and index. |
ISBN: |
9788132210535 (electronic bk.) 8132210530 (electronic bk.) |
Index Number: | QA188 |
CLC: | O151.21 |
Contents: |
Skew Spectrum of the Cartesian Product of an Oriented Graph with an Oriented Hypercube / Notes on Explicit Block Diagonalization / The Third Immanant of q-Laplacian Matrices of Trees and Laplacians of Regular Graphs / Matrix Product of Graphs / Determinant of the Laplacian Matrix of a Weighted Directed Graph / From Multivariate Skewed Distributions to Copulas / Revisiting the BLUE in a Linear Model via Proper Eigenvectors / Inference in Error Orthogonal Models / On the Entries of Orthogonal Projection Matrices / Moore-Penrose Inverse of Perturbed Operators on Hilbert Spaces / The Reverse Order Law in Indefinite Inner Product Spaces / Generalized Inverses and Approximation Numbers / On the Level-2 Condition Number for Moore-Penrose Inverse in Hilbert Space / Products and Sums of Idempotent Matrices over Principal Ideal Domains / Perfect Semiring of Nonnegative Matrices / Regular Matrices over an Incline / Matrix Partial Orders Associated with Space Preorder / An Illustrated Introduction to Some Old Magic Squares from India / A Report on CMTGIM 2012, Manipal / |