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Joint matrix triangularization is often used for estimating the joint eigenstructure of a set M of matrices , with applications in signal processing and machine learning .
 used for: Joint matrix triangularization, joint eigenstructure; used for: joint eigenstructure, signal processing; used for: joint eigenstructure, machine learning; conjunction: signal processing, machine learning
Given a phrase that describes the relationship between two words, extract the words and the lexical relationship between them. The output format should be "relation1: word1, word2; relation2: word3, word4". 
Option: conjunction, feature of, hyponym of, used for, part of, compare, evaluate for 
Text: {0} 
Answer:
 used for: Joint matrix triangularization, joint eigenstructure; used for: joint eigenstructure, signal processing; used for: joint eigenstructure, machine learning; conjunction: signal processing, machine learning