The Symmetric Eigenvalue Problem
The Symmetric Eigenvalue Problem
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DOI：
10.2307/2007453
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发表时间：
1981-10
期刊：
影响因子：
--
通讯作者：
B. Parlett
中科院分区：
文献类型：
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作者：
B. Parlett
帕利特认为，“振动无处不在，与之相关的本征值也是如此。”随着数学模型侵入越来越多的学科，我们可以预见在越来越丰富的背景下对特征值计算的需求。任何进行这些计算的人都会欢迎Parlett的书（最初出版于1980年）的再版。在这个未经删节的修订版本中，Parlett涵盖了在其他地方不容易找到的问题的各个方面。章节标题简明扼要地表达了材料的范围。这本书的目的是提出数学知识，是为了了解艺术的计算特征值的真实的对称矩阵，无论是所有的或只有少数。作者解释了为什么选择的信息真的很重要，他并不羞于做出判断。评论很生动，但证据很简短。
According to Parlett, 'Vibrations are everywhere, and so too are the eigenvalues associated with them. As mathematical models invade more and more disciplines, we can anticipate a demand for eigenvalue calculations in an ever richer variety of contexts.' Anyone who performs these calculations will welcome the reprinting of Parlett's book (originally published in 1980). In this unabridged, amended version, Parlett covers aspects of the problem that are not easily found elsewhere. The chapter titles convey the scope of the material succinctly. The aim of the book is to present mathematical knowledge that is needed in order to understand the art of computing eigenvalues of real symmetric matrices, either all of them or only a few. The author explains why the selected information really matters and he is not shy about making judgments. The commentary is lively but the proofs are terse.