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四元数矩阵特征值问题--保结构算法与应用(英文版)(精)
所属分类：数理化学科>>数理化学科>>数学作者：编者:贾志刚|责编:Jingke Li 出版社：科学
This book is intended to provide the fundamental material for young researchers of the quaternion matrix eigenvalue problem. Starting from the origin of the right eigenvalue problem of quaternion matrices, we introduce the basic theory and methods of quaternion matrices in the first chapter. In the second chapter, we study the eigenvalue problem of general quaternion matrices, including the structure-preserving QR algorithm, the quaternion QR algorithms, etc. In the third chapter, we research the eigenvahie problem of Hermitian quaternion matrices, with proposing two kinds of direct methods using the Householder transform and two iterative methods: Jacobi algorithm and Lanczos method. In the last chapter, we provide several practical application models, such as two dimensional principle component analysis and color image inpainting, which relying on solving the quaternion eigenvalue problem. The writing of this book is straight forward and is addressed to readers who have a basic graduate mathematics background. Alternatively, it may be used in a beginning graduate level course and as a reference.
售价：35.20