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Theory and Computation of Complex Tensors and its Applications

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Theory and Computation of Complex Tensors and its Applications/ by Maolin Che, Yimin Wei.
作者:	Che, Maolin.
其他作者:	Wei, Yimin.
面頁冊數:	XII, 250 p. 48 illus., 22 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Matrix theory. -
電子資源:	https://doi.org/10.1007/978-981-15-2059-4
ISBN:	9789811520594

Theory and Computation of Complex Tensors and its Applications
Che, Maolin.

Theory and Computation of Complex Tensors and its Applications[electronic resource] /by Maolin Che, Yimin Wei. - 1st ed. 2020. - XII, 250 p. 48 illus., 22 illus. in color.online resource.

Preface -- Introduction -- The pseudo-spectrum theory -- Perturbation theory -- Tensor complementarity problems -- Plane stochastic tensors -- Neural Networks -- US- and U-eigenpairs of complex tensors -- Randomized algorithms -- Bibliography -- Index.

The book provides an introduction of very recent results about the tensors and mainly focuses on the authors' work and perspective. A systematic description about how to extend the numerical linear algebra to the numerical multi-linear algebra is also delivered in this book. The authors design the neural network model for the computation of the rank-one approximation of real tensors, a normalization algorithm to convert some nonnegative tensors to plane stochastic tensors and a probabilistic algorithm for locating a positive diagonal in a nonnegative tensors, adaptive randomized algorithms for computing the approximate tensor decompositions, and the QR type method for computing U-eigenpairs of complex tensors. This book could be used for the Graduate course, such as Introduction to Tensor. Researchers may also find it helpful as a reference in tensor research.

ISBN: 9789811520594

Standard No.: 10.1007/978-981-15-2059-4doiSubjects--Topical Terms:

1023862
Matrix theory.

LC Class. No.: QA184-205

Dewey Class. No.: 512.5

Theory and Computation of Complex Tensors and its Applications
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