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Chapter 11: Tensor Optimization

Published in Society for Industrial and Applied Mathematics eBooks • Jan 1, 2023
NobleIDNI5P96W29R41S21
Authors:
Jiawang Nie

Abstract

Most tensor optimization problems can be equivalently formulated as homogeneous polynomial optimization with sphere constraints. This chapter introduces basic tensor theory, spectral and nuclear norms, quantum entanglements, tensor positivity, tensor eigenvalues, and singular values. They can be com...

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