001472274 000__ 06459cam\\22007097a\4500 001472274 001__ 1472274 001472274 003__ OCoLC 001472274 005__ 20230908003404.0 001472274 006__ m\\\\\o\\d\\\\\\\\ 001472274 007__ cr\cn\nnnunnun 001472274 008__ 230812s2023\\\\si\\\\\\o\\\\\010\0\eng\d 001472274 019__ $$a1392045312 001472274 020__ $$a9789819923106$$q(electronic bk.) 001472274 020__ $$a9819923107$$q(electronic bk.) 001472274 020__ $$z9819923093 001472274 020__ $$z9789819923090 001472274 0247_ $$a10.1007/978-981-99-2310-6$$2doi 001472274 035__ $$aSP(OCoLC)1392344345 001472274 040__ $$aEBLCP$$beng$$cEBLCP$$dGW5XE$$dYDX 001472274 049__ $$aISEA 001472274 050_4 $$aQA184 001472274 08204 $$a512.5$$223/eng/20230814 001472274 24500 $$aApplied linear algebra, probability and statistics :$$ba volume in honour of C. R. Rao and Arbind K. Lal /$$cRavindra B. Bapat, Manjunatha Prasad Karantha, Stephen J. Kirkland, Samir Kumar Neogy, Sukanta Pati, Simo Puntanen, editors. 001472274 260__ $$aSingapore :$$bSpringer,$$c2023. 001472274 300__ $$a1 online resource (540 p.). 001472274 4901_ $$aIndian Statistical Institute Series 001472274 500__ $$a8.6 The Nullity Set of a Family of Graphs 001472274 5050_ $$aIntro -- About Rao and Lal -- Foreword -- Preface -- Acknowledgements -- Contents -- Editors and Contributors -- 1 On Some Matrix Versions of Covariance, Harmonic Mean and Other Inequalities: An Overview -- 1.1 Introduction -- 1.2 Covariance Inequalities -- 1.3 Harmonic Mean Inequalities -- 1.4 General Mean Inequalities -- References -- 2 The Impact of Prof. C. R. Rao's Research Used in Solving Problems in Applied Probability -- 2.1 Professor Rao's Research on Generalized Matrix Inverses -- 2.2 Professor Hunter Is Exposed to Prof. Rao's Research 001472274 5058_ $$a2.3 Professor Hunter's Applications of Prof. Rao's Research in the Field of Applied Probability -- 2.4 Professor Hunter's Links with Prof. Rao -- 2.5 Final Comments -- References -- 3 Upper Bounds for the Euclidean Distances Between the BLUEs Under the Partitioned Linear Fixed Model and the Corresponding Mixed Model -- 3.1 Introduction -- 3.2 Upper Bounds for the BLUEs -- 3.3 Upper Bounds Related to OLSE -- 3.4 Conclusions -- References -- 4 Nucleolus Computation for Some Structured TU Games via Graph Theory and Linear Algebra -- 4.1 TU Cooperative Game -- 4.2 Nucleolus for the Talmud Game ch4AM 001472274 5058_ $$a4.3 The Core and Balanced Collection -- 4.4 The Lexicographic Center ch4MPS -- 4.5 Assignment Games ch4NOL -- 4.6 Domination Power Between Married Couple -- 4.6.1 The Kernel/Nucleolus of a Standard Tree Game ch4GM1996 -- 4.6.2 Balanced Connected Games ch4SAD1998 -- 4.6.3 Nucleolus for Cyclic Permutation Games ch4SRT2005,ch4TP1984 -- 4.6.4 Brief Remarks on Some References Included -- References -- 5 From Linear System of Equations to Artificial Intelligence-The Evolution Journey of Computer Tomographic Image Reconstruction Algorithms -- 5.1 Introduction 001472274 5058_ $$a5.2 From Filtered Back Projection to Iterative Reconstruction Technique to Clinical Necessity -- 5.3 Reconstruction Algorithms as Inverse Problems -- 5.4 Compressed Sensing-Based CT Image Reconstruction Algorithms -- 5.5 Nyquist Sampling Versus Non-uniform Sampling -- 5.6 Current and Future Developments -- 5.7 Conclusion and Open Question -- References -- 6 Shapley Value and Other Axiomatic Extensions to Shapley Value -- 6.1 Shapley Value -- 6.2 Multi-choice Shapley Value (ch6HsiaospsRaghavansps1993sps) -- 6.3 Potential Function and Shapley Value (ch6Hartsps1988sps) -- References 001472274 5058_ $$a7 An Accelerated Block Randomized Kaczmarz Method -- 7.1 Introduction -- 7.2 Randomized Kaczmarz Method -- 7.3 Block Accelerated RK -- 7.4 Convergence and Error -- 7.5 Applications to Tensor Equations -- 7.5.1 Tensor BARK -- 7.5.2 Tensor BARK in the Fourier Domain -- 7.6 Numerical Examples -- 7.6.1 Comparison Between ARK and BARK -- 7.6.2 T-BARK Performance -- References -- 8 Nullity of Graphs-A Survey and Some New Results -- 8.1 Basic Results on Nullity -- 8.2 Bounds for the Nullity of a Graph -- 8.3 Energy and Nullity -- 8.4 Graphs with Nullity 0 and 1 -- 8.5 Graph Operations Preserving Nullity 001472274 506__ $$aAccess limited to authorized users. 001472274 520__ $$aThis book focuses on research in linear algebra, statistics, matrices, graphs and their applications. Many chapters in the book feature new findings due to applications of matrix and graph methods. The book also discusses rediscoveries of the subject by using new methods. Dedicated to Prof. Calyampudi Radhakrishna Rao (C.R. Rao) who has completed 100 years of legendary life and continues to inspire us all and Prof. Arbind K. Lal who has sadly departed us too early, it has contributions from collaborators, students, colleagues and admirers of Professors Rao and Lal. With many chapters on generalized inverses, matrix analysis, matrices and graphs, applied probability and statistics, and the history of ancient mathematics, this book offers a diverse array of mathematical results, techniques and applications. The book promises to be especially rewarding for readers with an interest in the focus areas of applied linear algebra, probability and statistics. 001472274 650_0 $$aAlgebras, Linear. 001472274 650_0 $$aProbabilities. 001472274 650_0 $$aStatistics. 001472274 655_0 $$aElectronic books. 001472274 7001_ $$aRao, C. R.,$$ehonouree. 001472274 7001_ $$aLal, Arbind K.,$$ehonouree. 001472274 7001_ $$aBapat, R. B. 001472274 7001_ $$aKarantha, Manjunatha Prasad. 001472274 7001_ $$aKirkland, Stephen J. 001472274 7001_ $$aNeogy, Samir Kumar. 001472274 7001_ $$aPati, Sukanta. 001472274 7001_ $$aPuntanen, Simo. 001472274 77608 $$iPrint version:$$aBapat, Ravindra B.$$tApplied Linear Algebra, Probability and Statistics$$dSingapore : Springer,c2023$$z9789819923090 001472274 830_0 $$aIndian Statistical Institute series. 001472274 852__ $$bebk 001472274 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-99-2310-6$$zOnline Access$$91397441.1 001472274 909CO $$ooai:library.usi.edu:1472274$$pGLOBAL_SET 001472274 980__ $$aBIB 001472274 980__ $$aEBOOK 001472274 982__ $$aEbook 001472274 983__ $$aOnline 001472274 994__ $$a92$$bISE