This book is intended to familiarize the reader with the method of Gaussian matrices and some related tools of optical design. The matrix method provides a means to study an optical system in the paraxial approximation. This text contains new results such as theorems on the design of variable optics, on integrating rods, on the optical layout of prism devices, etc. The results are derived in a step-by-step way so that the reader might apply the methods presented here to resolve design problems with ease.
本书从数学分析的角度论述矩阵分析的经典方法和现代方法,主要内容包括:特征值、特征向量和相似性,酉等价和正规矩阵等。
Goethals-Seidel Type Hadamard Matrices
Construction of Williamson Type Matrices
Orthogonal (0,1,-1) - Matrices
A New Construction for Williamson-type Matrices
A sign pattern is a matrix with entries coming from the set {1, −1, 0}.
Topics in Matrix Analysis: 卷2
This new edition of Matrix Methods emphasizes applications to Jordan-canonical forms, differential equations, and least squares.
This new edition includes thoroughly revised chapters on matrix multiplication problems and parallel matrix computations, expanded treatment of CS decomposition, an updated overview of floating point arithmetic, a more accurate rendition of ...
Matrix Computations