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Titlebook: Infinite Matrices and Their Recent Applications; P.N. Shivakumar,K C Sivakumar,Yang Zhang Book 2016 Springer International Publishing Swit

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發(fā)表于 2025-3-21 19:54:16 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Infinite Matrices and Their Recent Applications
編輯P.N. Shivakumar,K C Sivakumar,Yang Zhang
視頻videohttp://file.papertrans.cn/465/464638/464638.mp4
概述Focuses on the general theory of infinite matrices, detailing progress achieved in the theory and applications of infinite matrices since the seminal work of Cooke.Covers theoretical and computational
圖書封面Titlebook: Infinite Matrices and Their Recent Applications;  P.N. Shivakumar,K C Sivakumar,Yang Zhang Book 2016 Springer International Publishing Swit
描述This monograph covers the theory of finite and infinite matrices over the fields of real numbers, complex numbers and over quaternions. Emphasizing topics such as sections or truncations and their relationship to the linear operator theory on certain specific separable and sequence spaces, the authors explore techniques like conformal mapping, iterations and truncations that are used to derive precise estimates in some cases and explicit lower and upper bounds for solutions in the other cases..Most of the matrices considered in this monograph have typically special structures like being diagonally dominated or tridiagonal, possess certain sign distributions and are frequently nonsingular. Such matrices arise, for instance, from solution methods for elliptic partial differential equations. The authors focus on both theoretical and computational aspects concerning infinite linear algebraic equations, differential systems and infinite linear programming, among others. Additionally, the authors cover topics such as Bessel’s and Mathieu’s equations, viscous fluid flow in doubly connected regions, digital circuit dynamics and eigenvalues of the Laplacian..
出版日期Book 2016
關鍵詞Finite Matrices; Quaternions; Infinite Linear Systems; M-Matrices; Dimensional Spaces; Infinite Matrices;
版次1
doihttps://doi.org/10.1007/978-3-319-30180-8
isbn_softcover978-3-319-80741-6
isbn_ebook978-3-319-30180-8
copyrightSpringer International Publishing Switzerland 2016
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沙發(fā)
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板凳
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ibility of their goals and aims and the complementary results of the efforts of scholars working within these traditions have led to a greater appreciation of the nature of language, of “why it is as it is.” This chapter is a look at the goals and outcomes of the Prague School and the British tradit
地板
發(fā)表于 2025-3-22 07:56:32 | 只看該作者
Introduction,tely many linear equations in finitely many unknowns, has been around for over two hundred years. Unlike the matrix methods, matrices were not used in the early formulations of Gaussian elimination, until the mid-twentieth century.
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發(fā)表于 2025-3-22 11:48:52 | 只看該作者
Generalized Inverses: Real or Complex Field,l spaces. Let us note that in the next chapter, certain very new results on generalized inverses of matrices over quaternion polynomial rings are presented. For generalized inverses of matrices over commutative rings, an excellent source is the book by Bhaskara Rao [13].
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發(fā)表于 2025-3-22 16:42:39 | 只看該作者
,-Matrices over Infinite Dimensional Spaces,st section considers a class of operators that are more general than .-operators. In particular, we review results relating to the nonnegativity of the Moore–Penrose inverse of Gram operators over Hilbert spaces, reporting the work of Kurmayya and Sivakumar [61] and Sivakumar [125]. These results fi
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發(fā)表于 2025-3-22 19:31:50 | 只看該作者
Applications,bed earlier could be applied to obtain good approximate values of Bessel functions in certain intervals. Section 8.7 reviews results for the minimal eigenvalue of the Dirichlet Laplacian in an annulus. In the next section, an approximate solution providing the best match for the hydraulic head in a
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發(fā)表于 2025-3-22 21:59:28 | 只看該作者
Book 2016 equations, differential systems and infinite linear programming, among others. Additionally, the authors cover topics such as Bessel’s and Mathieu’s equations, viscous fluid flow in doubly connected regions, digital circuit dynamics and eigenvalues of the Laplacian..
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978-3-319-80741-6Springer International Publishing Switzerland 2016
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