消息首页搜索举报

四元数矩阵特征值问题:保结构算法与应用基础科学贾志刚

none

61.35 7.0折 88 全新

库存4件

北京丰台

认证卖家担保交易快速发货售后保障

作者贾志刚

出版社科学出版社

ISBN9787030638878

出版时间2020-06

版次1

装帧平装

开本32

页数164页

定价88元

货号xhwx_1202069678

上书时间2024-10-27

智胜图书专营店

七年老店

已实名已认证进店收藏店铺

在售商品暂无
平均发货时间 27小时
好评率暂无

最新上架

功夫熊猫卡通漫画童趣出版有限公司编 ¥17.25

大出风头的子儿童文学车培晶 ¥13.45

路边数据分析:深度学交通运输 (澳)布里杰什·维尔马,张立刚,(澳)大卫·斯托克韦尔 ¥54.05

浮云魅影武侠小说常博涵 ¥26.35

剑来(第3辑)(15-21) 中国科幻,侦探小说烽火戏诸侯 ¥117.55

投资学(第2版) 大中专理科计算机黄福广,李西文编 ¥42.65

酒水服务实务 mooc版大中专文科经管王晓洋,宋桂友编 ¥30.65

子曹泽毅2021观点妇产科曹泽毅 ¥60.95

药食同源与健康家庭保健洪巧瑜,樊长征,卜训生编 ¥37.05

商品详情

品相描述：全新: 正版特价新书

商品描述: 目录：

chapter 1 introduction

chapter 2 basic quaternion matrix theory

2.1 quaternion matrices

2.2 quaternion matrix eigenvalue problems

2.3 unitary quaternion transformations

2.3.1 improved householder-based transformations

2.3.2 generalized quaternion givens transformations

2.4 plex and real counterpart methods

2.5 jrs-symmetric matrices

chapter 3 general quaternion matrix eigenvalue problem

3.1 structure-preserving qr algorithm

3.1.1 the upper jrs-hessenberg form

3.1.2 structure-preserving deitions

3.1.3 the structure-preserving jrs-hessenberg qr iteration

3.2 quaternion qr algorithm

3.2.1 the quaternion hessenberg reduction

3.2.2 quaternion hessenberg qr factorization

3.2.3 implicit double shift quaternion qr algorithm

3.2.4 numerical examples

3.3 the power and inverse power methods

3.3.1 the power method

3.3.2 the inverse power method

3.4 perturbation theory

3.4.1 the perturbation of eigenvalues

3.4.2 simple eigenpairs

3.5 conclusion

chapter 4 hermitian quaternion matrix eigenvalue problem

4.1 background

4.2 2×2 block structure preserving method

4.2.1 structure-preserving method

4.2.2 structure-preserving algorithm

4.2.3 numerical examples

4.3 4×4 block structure-preserving method

4.3.1 structure-preserving tridiagonalizing

4.3.2 right eigenvalue problem

4.3.3 structure-preserving algorithm

4.3.4 numerical examples

4.4 structure-preserving jacobi algorithm

4.4.1 history of jacobi algorithm

4.4.2 structure-preserving jacobi algorithm

4.4.3 numerical examples

4.5 lanczos method for large-scale quaternion singular value deition

4.5.1 history of lancozos method

4.5.2 the quaternion lanczos method

4.5.3 lanczos-based algorithms

4.5.4 numerical examples

4.6 conclusion

chapter 5 applications

5.1 quaternion principal ponent analysis

5.1.1 representation and pression of color face images

5.1.2 face recognition in color

5.1.3 experiments

5.2 two dimensional quaternion principal ponent analysis

5.2.1 color 2dpca approach

5.2.2 experiments

5.3 color image inpainting

5.3.1 preliminaries

5.3.2 robust quaternion matrix pletion

5.3.3 experiments

5.4 color watermarking

5.4.1 embed and extracting procedure

5.4.2 evaluation criteria

5.4.3 experiments

5.5 conclusion

bibliography

book list of the series in information and putational science

color figures

内容简介：

thi book i intended to provide the fundamental material for young reearcher of the quaternion matrix eigenvalue problem.tarting from the origin of the right eigenvalue problem of quaternion matricewe introduce the baic theory and method of quaternion matrice in the firt chapter.in the econd chapterwe tudy the eigenvalue problem of general quaternion matriceinclu the tructurepreerving qr algorithmthe quaternion qr algorithmetc.in the third chapterwe reearch the eigenvahie problem of hermitian quaternion matricewith proing two kind of direct method uing the houeholder tranform and two iterative method: jacobi algorithm and lanczo method.in the lat chapterwe provide everal practical application modeluch a two dimenional principle ponent analyi and color image inpaintingwhich relying on olving the quaternion eigenvalue problem.the writing of thi book i traight forward and i addreed to reader who have a baic graduate mathematic background.alternativelyit may be ued in a beginning graduate level coure and a a reference.