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A first course in linear algebra / Minking Eie, Shou-Te Chang
New Jersey : World Scientific, 2016
xii, 376 pages. : illustrations ; 24 cm.
Ký hiệu phân loại (DDC): 512.5
A First Course in Linear Algebra is written by two experts from algebra who have more than 20 years of experience in algebra, linear algebra and number theory. It prepares students with no background in Linear Algebra. Students, after mastering the materials in this textbook, can already understand any Linear Algebra used in more advanced books and research papers in Mathematics or in other scientific disciplines.This book provides a solid foundation for the theory dealing with finite dimensional vector spaces. It explains in details the relation between linear transformations and matrices. One may thus use different viewpoints to manipulate a matrix instead of a one-sided approach. Although most of the examples are for real and complex matrices, a vector space over a general field is briefly discussed. Several optional sections are devoted to applications to demonstrate the power of Linear Algebra
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A survey on graph partitioning approach to spectral clustering / SUBHANSHU GOYAL, SUSHIL KUMAR, ... [and others] // Tạp chí Tin học và Điều khiển học = Journal of Computer Science And Cybernetics . - 2015. - P. 31-42. - ISSN:


12 p.
Ký hiệu phân loại (DDC): 519
The clustering problem can be formulated as a graph cut problem where a suitable objective function has to be optimized. This study uses different graph cluster formulations based on graph cut and partitioning problems. A special class of graph clustering algorithm known as spectral clustering algorithms is used for the study. Two widely used spectral clustering algorithms are applied to explaining solution to these problems. These algorithms are generally based on the Eigen—decomposition of Laplacian matrices of either weighted or non-weighted graphs.
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