{"product_id":"group-inverses-of-m-matrices-and-their-applications-26-chapman-hall-crc-applied-mathematics-and-nonlinear-science","title":"Group Inverses of M-Matrices and Their Applications: 26 (Chapman \u0026 Hall\/CRC Applied Mathematics and Nonlinear Science)","description":"\u003cp\u003eBook Details\u003cbr\u003e• Format: Hardcover\u003cbr\u003e• Language: English\u003cbr\u003e• Pages: 332\u003cbr\u003e• Writer: Stephen J. Kirkland\u003cbr\u003e• Publisher: CRC Press\u003cbr\u003e• Edition: 1\u003cbr\u003e• Binding: Hardcover\u003cbr\u003e• EAN: 9781439888582\u003cbr\u003e• Package Dimensions: 9.3 x 6.2 x 0.9 inches\u003c\/p\u003e\n\u003cp\u003eGroup inverses for singular M-matrices are useful tools not only in matrix analysis, but also in the analysis of stochastic processes, graph theory, electrical networks, and demographic models. \u003cem\u003eGroup Inverses of M-Matrices and Their Applications\u003c\/em\u003e highlights the importance and utility of the group inverses of M-matrices in several application areas.\u003c\/p\u003e\n\u003cp\u003eAfter introducing sample problems associated with Leslie matrices and stochastic matrices, the book develops the basic algebraic and spectral properties of the group inverse of a general matrix. It then derives formulas for derivatives of matrix functions and applies them to matrices arising in demographic settings, including the class of Leslie matrices. With a focus on Markov chains, it shows how the group inverse of an appropriate M-matrix is used in the perturbation analysis of the stationary distribution vector and in deriving a bound for the asymptotic convergence rate of the Markov chain. It also illustrates the use of the group inverse to compute and analyze the mean first passage matrix for a Markov chain.\u003c\/p\u003e\n\u003cp\u003eThe final chapters focus on the Laplacian matrix for an undirected graph and compare approaches for computing the group inverse. Collecting diverse results into a single volume, this self-contained book emphasizes connections between problems in Markov chains, Perron eigenvalue analysis, and spectral graph theory, demonstrating how group inverses provide valuable insights across these areas.\u003c\/p\u003e","brand":"CRC","offers":[{"title":"Default Title","offer_id":49846368239920,"sku":"Sarat_9781439888582","price":17063.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/crc-book-default-title-group-inverses-of-m-matrices-and-their-applications-26-chapman-hall-crc-applied-mathematics-and-nonlinear-science-40969607905584.jpg?v=1775980976","url":"https:\/\/www.retailmaharaj.com\/bn\/products\/group-inverses-of-m-matrices-and-their-applications-26-chapman-hall-crc-applied-mathematics-and-nonlinear-science","provider":"Retail Maharaj","version":"1.0","type":"link"}