当今的时代是一个信息的时代,信息处理技 术的不断进步极大的影响了我们的生活,使 我们的生活质量得到很大提高。本课程将介 绍信息科学的基础理论和基本方法,课程将 基于一个通讯系统的抽象数学模型进行展开, 课程的数学基础为概率论。整个课程可分为 基础理论和编码理论两部分组成

Introduction Definition Induced Norm–Matrix p-Norms One Norm Infinity Norm Norm of a Product Two Norm Frobenius Norm Norm of a Submatrix Exercises Comprehensive Problems

Introduction Definition Two Important Inequalities Exercises Normwise Errors Comprehensive Problems H¨old Inequality again

Unitary and Orthogonal Matrices Application 1: Givens rotation Application 2: Permutation matrix Discovery Journey References

1 Introduction 2 Existence of an Inverse 3 Some Properties 4 Sherman-Morrison Formula 5 Inverse of a Partitioned Matrix 6 Discovery Journey 7 Comprehensive Problems

Transpose and Conjugate Transpose Inner and Outer Products, Again Symmetric and Hermitian Matrices Exercises

Hilbert Matrix Hilbert Matrix Circulant Matrix Toeplitz Matrix Hankel Matrix Vandermonde Matrix Summary & Questions Extensive reading

电子科技大学：《矩阵理论 Matrix Theory》课程教学资源（课件讲稿）04 Matrix space and special ones

电子科技大学：《矩阵理论 Matrix Theory》课程教学资源（课件讲稿）03 Matrices-special matrices

电子科技大学：《矩阵理论 Matrix Theory》课程教学资源（课件讲稿）02 Matrices Intro