Matrix Analysis
Matrix Analysis
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DOI：
10.1007/978-1-4612-0653-8
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发表时间：
1996-11
期刊：
影响因子：
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通讯作者：
R. Bhatia
中科院分区：
文献类型：
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作者：
R. Bhatia
矩阵理论的很大一部分本质上是泛函分析。这一说法是可以扭转的。在算子理论中有许多问题，其中大部分的复杂性和微妙之处存在于有限维的情况下。我写这本书的目的是为了系统地处理在研究这类问题中有用的方法。这本书的目的是作为高年级和研究生课程的教材。我在印度统计研究所和多伦多大学(与钱德勒·戴维斯合作)开设了基于部分材料的课程。这本书也应该是线性代数，算子论，数学物理和数值分析研究工作者的参考。这本书的一个可能的副标题可能是矩阵不等式。读完这本书的读者应该会精通推导这种不平等的艺术。其他作者将这门艺术与切割钻石相提并论。一个人首先必须获得硬工具，然后学习如何巧妙地使用它们。读者应该非常熟悉基本的林耳代数。基于PR的标准文本有限维向量空间
A good part of matrix theory is functional analytic in spirit. This statement can be turned around. There are many problems in operator theory, where most of the complexities and subtleties are present in the finite-dimensional case. My purpose in writing this book is to present a systematic treatment of methods that are useful in the study of such problems. This book is intended for use as a text for upper division and gradu ate courses. Courses based on parts of the material have been given by me at the Indian Statistical Institute and at the University of Toronto (in collaboration with Chandler Davis). The book should also be useful as a reference for research workers in linear algebra, operator theory, mathe matical physics and numerical analysis. A possible subtitle of this book could be Matrix Inequalities. A reader who works through the book should expect to become proficient in the art of deriving such inequalities. Other authors have compared this art to that of cutting diamonds. One first has to acquire hard tools and then learn how to use them delicately. The reader is expected to be very thoroughly familiar with basic lin ear algebra. The standard texts Finite-Dimensional Vector Spaces by PR