(Basics of Matrix Analysis (Second Edition) Chapter 3 Decomposition of Matrix 3.3 Hermite Matrix and Its Decomposition)
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- (Basics of Matrix Analysis (Second Edition) Chapter 3 Decomposition of Matrix 3.3 Hermite Matrix and Its Decomposition)
1. Hermite matrix (Hermite)
1.1 Definition of Hermitian matrix:
The matrix A belonging to the complex field of n*n is equal to the conjugate transpose matrix of A, also known as the self-conjugate matrix.
1.2 Basic properties of Hermitian matrix:
1.3 The Hermitian Matrix
2. Positive definite Hermitian matrix
2.1 Definition of positive definite Hermitian matrix:
2.2 Properties and decomposition of positive definite Hermitian matrix:
2.3 Equivalent properties of positive definite Hermitian matrices:
3. Positive semi-definite Hermitian matrix (property)
4. Decomposition and necessary and sufficient conditions of normal matrix
