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What is Uniqueness in Matrix Decomposition about?

This document discusses a matrix decomposition where the numerical range of the matrix is contained within a sector of the complex plane. It contains the following key points: 1. It proves the existence and uniqueness of a matrix decomposition where the matrix can be written as the product of an invertible matrix, a unitary diagonal matrix with entries in the sector, and the inverse of the invertible matrix. 2. It provides a method to construct the unitary diagonal matrix in the decomposition based on th

Author

Nguyen Duc Truong

Language

EN