Yimin Wei's Books

Theory and Computation of Tensors

Multi-Dimensional Arrays

By: Yimin Wei,Weiyang Ding

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Theory and Computation of Tensors

Multi-Dimensional Arrays

By: Yimin Wei,Weiyang Ding

Theory and Computation of Tensors: Multi-Dimensional Arrays investigates theories and computations of tensors to broaden perspectives on matrices. Data in the Big Data Era is not only growing larger but also becoming much more complicated. Tensors (multi-dimensional arrays) arise naturally from many engineering or scientific disciplines because they can represent multi-relational data or nonlinear relationships. - Provides an introduction of recent results about tensors - Investigates theories and computations of tensors to broaden perspectives on matrices - Discusses how to extend numerical linear algebra to numerical multi-linear algebra - Offers examples of how researchers and students can engage in research and the applications of tensors and multi-dimensional arrays

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Page Count

150

Publisher

Academic Press

Published Date

ISBN 10

0128039809

ISBN 13

9780128039809

Numerical And Symbolic Computations Of Generalized Inverses

By: Yimin Wei,Predrag Stanimirovic,Marko Petkovic

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Numerical And Symbolic Computations Of Generalized Inverses

By: Yimin Wei,Predrag Stanimirovic,Marko Petkovic

We introduce new methods connecting numerics and symbolic computations, i.e., both the direct and iterative methods as well as the symbolic method for computing the generalized inverses. These will be useful for Engineers and Statisticians, in addition to applied mathematicians.Also, main applications of generalized inverses will be presented. Symbolic method covered in our book but not discussed in other book, which is important for numerical-symbolic computations.

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470

Publisher

World Scientific

Published Date

ISBN 10

9813238682

ISBN 13

9789813238688

Generalized Inverses: Theory and Computations

By: Guorong Wang,Yimin Wei,Sanzheng Qiao

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Generalized Inverses: Theory and Computations

By: Guorong Wang,Yimin Wei,Sanzheng Qiao

This book begins with the fundamentals of the generalized inverses, then moves to more advanced topics. It presents a theoretical study of the generalization of Cramer's rule, determinant representations of the generalized inverses, reverse order law of the generalized inverses of a matrix product, structures of the generalized inverses of structured matrices, parallel computation of the generalized inverses, perturbation analysis of the generalized inverses, an algorithmic study of the computational methods for the full-rank factorization of a generalized inverse, generalized singular value decomposition, imbedding method, finite method, generalized inverses of polynomial matrices, and generalized inverses of linear operators. This book is intended for researchers, postdocs, and graduate students in the area of the generalized inverses with an undergraduate-level understanding of linear algebra.

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Page Count

390

Publisher

Springer

Published Date

ISBN 10

9811301468

ISBN 13

9789811301469

Theory and Computation of Complex Tensors and its Applications

By: Maolin Che,Yimin Wei

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Theory and Computation of Complex Tensors and its Applications

By: Maolin Che,Yimin Wei

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.

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258

Publisher

Springer Nature

Published Date

ISBN 10

9811520593

ISBN 13

9789811520594

Algebraic Properties of Generalized Inverses

By: Dragana S. Cvetković‐Ilić,Yimin Wei

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Algebraic Properties of Generalized Inverses

By: Dragana S. Cvetković‐Ilić,Yimin Wei

This book addresses selected topics in the theory of generalized inverses. Following a discussion of the “reverse order law” problem and certain problems involving completions of operator matrices, it subsequently presents a specific approach to solving the problem of the reverse order law for {1} -generalized inverses. Particular emphasis is placed on the existence of Drazin invertible completions of an upper triangular operator matrix; on the invertibility and different types of generalized invertibility of a linear combination of operators on Hilbert spaces and Banach algebra elements; on the problem of finding representations of the Drazin inverse of a 2x2 block matrix; and on selected additive results and algebraic properties for the Drazin inverse. In addition to the clarity of its content, the book discusses the relevant open problems for each topic discussed. Comments on the latest references on generalized inverses are also included. Accordingly, the book will be useful for graduate students, PhD students and researchers, but also for a broader readership interested in these topics.

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Page Count

203

Publisher

Springer

Published Date

ISBN 10

9811063494

ISBN 13

9789811063497

China's Economic Reforms: Successes And Challenges

By: Peter Koveos,Yimin Zhang

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China's Economic Reforms: Successes And Challenges

By: Peter Koveos,Yimin Zhang

In the last 40 years of China's economic reforms, the country has made unprecedented progress in its economic development and its position in the global stage. As a result, interest in China has resulted in numerous books focusing on the world's second largest economy. A single volume, however, cannot possibly explain the complex nature of China's economic system and its relationship with the rest of the world. China's Economic Reforms: Successes and Challenges contributes to the understanding of China's reforms by offering a detailed analysis of critical components of the country's economic architecture.Within the context of the global economy, the book illustrates the performance of the Chinese economy at both the aggregate and individual sector levels before and after reforms. Comparisons and contrasts are made with the economies of the US, Japan, South Korea, India, and Russia. The book presents the challenges facing the Chinese reform process, and explain how these challenges affect the domestic economy, the rest of the world, and the overall success of China's reforms.

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Page Count

936

Publisher

World Scientific

Published Date

ISBN 10

9811256535

ISBN 13

9789811256530

Introduction to Surface Chemistry and Catalysis

By: Gabor A. Somorjai,Yimin Li

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Introduction to Surface Chemistry and Catalysis

By: Gabor A. Somorjai,Yimin Li

Now updated-the current state of development of modern surface science Since the publication of the first edition of this book, molecular surface chemistry and catalysis science have developed rapidly and expanded into fields where atomic scale and molecular information were previously not available. This revised edition of Introduction to Surface Chemistry and Catalysis reflects this increase of information in virtually every chapter. It emphasizes the modern concepts of surface chemistry and catalysis uncovered by breakthroughs in molecular-level studies of surfaces over the past three decades while serving as a reference source for data and concepts related to properties of surfaces and interfaces. The book opens with a brief history of the evolution of surface chemistry and reviews the nature of various surfaces and interfaces encountered in everyday life. New research in two crucial areas-nanomaterials and polymer and biopolymer interfaces-is emphasized, while important applications in tribology and catalysis, producing chemicals and fuels with high turnover and selectivity, are addressed. The basic concepts surrounding various properties of surfaces such as structure, thermodynamics, dynamics, electrical properties, and surface chemical bonds are presented. The techniques of atomic and molecular scale studies of surfaces are listed with references to up-to-date review papers. For advanced readers, this book covers recent developments in in-situ surface analysis such as high- pressure scanning tunneling microscopy, ambient pressure X-ray photoelectron spectroscopy, and sum frequency generation vibrational spectroscopy (SFG). Tables listing surface structures and data summarizing the kinetics of catalytic reactions over metal surfaces are also included. New to this edition: A discussion of new physical and chemical properties of nanoparticles Ways to utilize new surface science techniques to study properties of polymers, reaction intermediates, and mobility of atoms and molecules at surfaces Molecular-level studies on the origin of the selectivity for several catalytic reactions A microscopic understanding of mechanical properties of surfaces Updated tables of experimental data A new chapter on "soft" surfaces, polymers, and biointerfaces Introduction to Surface Chemistry and Catalysis serves as a textbook for undergraduate and graduate students taking advanced courses in physics, chemistry, engineering, and materials science, as well as researchers in surface science, catalysis science, and their applications.

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Page Count

804

Publisher

John Wiley & Sons

Published Date

ISBN 10

047050823X

ISBN 13

9780470508237

Vibration Utilization Engineering

By: Bangchun Wen,XianLi Huang,Yinong Li,Yimin Zhang

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Vibration Utilization Engineering

By: Bangchun Wen,XianLi Huang,Yinong Li,Yimin Zhang

This book proposes “Vibration Utilization Engineering,” using harmful vibrations in many cases for energy harvesting. Scope of the book includes, but not limited to, linear and nonlinear system of vibrations, waves (sound wave and light wave), wave motion and energy utilization, the electric–magnetic oscillation utilization in engineering, the phenomena, patterns, and utilization of the vibrations in Nature and human social society. It is all based on the theory of vibration utilization technology and equipment technological process, linear and pseudo-linear vibration, nonlinear vibration. This new subject branch is closely associated with numerus applications in industrial or agricultural production, medical apparatus and equipment and daily life, etc. It could create significant economic and social benefits and provide significant values for society and excellent service for human life.

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Page Count

363

Publisher

Springer Nature

Published Date

ISBN 10

9811906726

ISBN 13

9789811906725

Theory and Practice of Hydrocarbon Generation within Space-Limited Source Rocks

By: Defan Guan,Xuhui Xu,Zhiming Li,Lunju Zheng,Caiping Tan,Yimin Yao

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Theory and Practice of Hydrocarbon Generation within Space-Limited Source Rocks

By: Defan Guan,Xuhui Xu,Zhiming Li,Lunju Zheng,Caiping Tan,Yimin Yao

This book analyzes hydrocarbon generation and accumulation within space-limited source rocks. The authors draw conclusions based on the principles of basin formation, hydrocarbon generation and accumulation, coupled with the practice of terrigenous basins in eastern China. Hydrocarbon generation and expulsion have been quantitatively assessed in space-limited source rock systems. This book explores new hydrocarbon generation and expulsion models to reflect real geological situations more accurately. The theory and practice proposed in this book challenge the traditional theory of kerogen thermal degradation and hydrocarbon generation.

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Page Count

198

Publisher

Springer

Published Date

ISBN 10

9811024073

ISBN 13

9789811024078

Theory and Computation of Tensors

Multi-Dimensional Arrays

By: Yimin Wei,Weiyang Ding

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Theory and Computation of Tensors

Multi-Dimensional Arrays

By: Yimin Wei,Weiyang Ding

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Page Count

150

Publisher

Academic Press

Published Date

ISBN 10

0128039809

ISBN 13

9780128039809

Theory and Computation of Complex Tensors and its Applications

By: Maolin Che,Yimin Wei

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Theory and Computation of Complex Tensors and its Applications

By: Maolin Che,Yimin Wei

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Page Count

258

Publisher

Springer Nature

Published Date

ISBN 10

9811520593

ISBN 13

9789811520594

Generalized Inverses: Theory and Computations

By: Guorong Wang,Yimin Wei,Sanzheng Qiao

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Generalized Inverses: Theory and Computations

By: Guorong Wang,Yimin Wei,Sanzheng Qiao

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Page Count

390

Publisher

Springer

Published Date

ISBN 10

9811301468

ISBN 13

9789811301469

Numerical And Symbolic Computations Of Generalized Inverses

By: Yimin Wei,Predrag Stanimirovic,Marko Petkovic

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Numerical And Symbolic Computations Of Generalized Inverses

By: Yimin Wei,Predrag Stanimirovic,Marko Petkovic

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Page Count

470

Publisher

World Scientific

Published Date

ISBN 10

9813238682

ISBN 13

9789813238688

Algebraic Properties of Generalized Inverses

By: Dragana S. Cvetković‐Ilić,Yimin Wei

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Algebraic Properties of Generalized Inverses

By: Dragana S. Cvetković‐Ilić,Yimin Wei

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Page Count

203

Publisher

Springer

Published Date

ISBN 10

9811063494

ISBN 13

9789811063497

Sign Pattern for Generalized Inverses

By: Changjiang BU,Lizhu SUN,Yimin WEI

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Sign Pattern for Generalized Inverses

By: Changjiang BU,Lizhu SUN,Yimin WEI

This book addresses recent developments in sign patterns for generalized inverses. The fundamental importance of the fields is obvious, since they are related with qualitative analysis of linear systems and combinatorial matrix theory. The book provides both introductory materials and discussions to the areas in sign patterns for Moore–Penrose inverse, Drazin inverse and tensors. It is intended to convey results to the senior students and readers in pure and applied linear algebra, and combinatorial matrix theory. Changjiang BU is a Professor at the College of Mathematical Sciences, Harbin Engineering University, who works on the graph theory and generalized inverses. He is the author of more than 100 papers in the international journals and one monograph. Lizhu SUN is an Associate Professor at the College of Mathematical Sciences, Harbin Engineering University, who works on the graph theory and multilinear algebra. She is the author of 25 research papers. Yimin WEI is a Professor at the School of Mathematical Sciences, Fudan University, who works on the numerical linear algebra and multilinear algebra. He is the author of more than 150 papers in the international journals and six monographs published by Science Press, Elsevier, Springer and World Scientific., etc.

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Page Count

234

Publisher

EDP Sciences

Published Date

ISBN 10

2759826007

ISBN 13

9782759826001

Book's by Yimin Wei

Theory and Computation of Tensors

Theory and Computation of Tensors

Numerical And Symbolic Computations Of Generalized Inverses

Numerical And Symbolic Computations Of Generalized Inverses

Generalized Inverses: Theory and Computations

Generalized Inverses: Theory and Computations

Theory and Computation of Complex Tensors and its Applications

Theory and Computation of Complex Tensors and its Applications

Algebraic Properties of Generalized Inverses

Algebraic Properties of Generalized Inverses

China's Economic Reforms: Successes And Challenges

China's Economic Reforms: Successes And Challenges

Introduction to Surface Chemistry and Catalysis

Introduction to Surface Chemistry and Catalysis

Vibration Utilization Engineering

Vibration Utilization Engineering

Theory and Practice of Hydrocarbon Generation within Space-Limited Source Rocks

Theory and Practice of Hydrocarbon Generation within Space-Limited Source Rocks

Theory and Computation of Tensors

Theory and Computation of Tensors

Theory and Computation of Complex Tensors and its Applications

Theory and Computation of Complex Tensors and its Applications

Generalized Inverses: Theory and Computations

Generalized Inverses: Theory and Computations

Numerical And Symbolic Computations Of Generalized Inverses

Numerical And Symbolic Computations Of Generalized Inverses

Algebraic Properties of Generalized Inverses

Algebraic Properties of Generalized Inverses

Sign Pattern for Generalized Inverses

Sign Pattern for Generalized Inverses

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