作者：ZhengshengWang
页数：148
出版社：科学出版社
出版日期：2015
ISBN：9787030453945
电子书格式：pdf/epub/txt
内容简介
本书英文编写，较为全面、系统地介绍了矩阵理论的基本理论、方法和部分应用实例。全书共分为9章，内容包括：矩阵基本概念、线性空间与内积空间、线性变换、Jordan标准型、矩阵分解、Hermite矩阵与正定矩阵、范数理论与矩阵分析、广义逆理论及MATLAB软件入门。从理论、到软件、到应用实例，内容丰富，结构严谨。每一章有Reading的部分，各章后面配有一定数量的习题，供读者阅读开阔视野、理解内容和巩固知识。本书可作为理工科院校硕士生、博士生以及高年级本科生的课程教材，特别是双语课程，更可作为理工科留学生（博士生、硕士生和高年级本科生）的课程教材，也可作为有关专业教师和工程技术人员的参考书。
目录
contents
chapter1reviewandmiscellanea:basicconceptsinlinearalgebra
11matrixconceptandspecialmatrices
12matrixalgebra
13eigenvalueandeigenvector
14reading:cayleyandsylvester
15selfassessmentexercises
chapter2linearspaceandinner-productspace
21linearspace(vectorspace)
22basisanddimensionofvectorspace
23subspaces
24innerproductspace
25reading:gramandschmidt
26selfassessmentexercises
chapter3lineartransformation
31introduction
32lineartransformationwithproperties
33therangeandkernel
34matrixrepresentationoflineartransformation
35similarity
36reading:cramerandgershgorin
37selfassessmentexercises
chapter4jordancanonicalform
41diagonalizability
42jordanblockmatrixandjordanformmatrix
43-matrixandsmithstandardform
44jordancanonicalform
45cayley-hamiltontheoremandminimalpolynomial
46matlabcommandsforjordancanonicalform
47reading:camillejordan
48selfassessmentexercises
chapter5matrixfactorization
51introduction
52fullrankdecomposition
53lufactorization
54qrfactorization
55schurdecomposition
56singularvaluedecomposition(svd)
57anexampleofapplication:imagecompression
58matlabcommandsformatrixfactorization
59reading:householderandhouseholderaward
510selfassessmentexercises
chapter6hermitianmatrixandpositivedeˉnitematrix
61hermitianmatrix
62positivedeˉnitematrix
63reading:charleshermite
64selfassessmentexercises
chapter7matrixnormandmatrixanalysis
71introduction
72vectornorm
73matrixnorm
74matrixsequence，seriesandfunction
75matlabcommandsfornorms
76reading:frobenius
77selfassessmentexercises
chapter8themoore-penrosegeneralizedinverse
81introduction
82themoore-penrosegeneralizedinverse
83thesolvabilityoflinearsystems
84matlabcommandsforthemoore-penrosegeneralizedinversematrix
85reading:mooreandpenrose
86selfassessmentexercises
chapter9anintroductiontomatlab
91aglanceofmatlab
92startingup
93matlabasacalculator
94plotting
95programming
96commonlyusedcommandssummary
97reading:golubandmoler
answerstoselectedexercises
bibliography
