2000 character limit reached
Approximate matrix and tensor diagonalization by unitary transformations: convergence of Jacobi-type algorithms (1905.12295v3)
Published 29 May 2019 in math.OC, cs.NA, and math.NA
Abstract: We propose a gradient-based Jacobi algorithm for a class of maximization problems on the unitary group, with a focus on approximate diagonalization of complex matrices and tensors by unitary transformations. We provide weak convergence results, and prove local linear convergence of this algorithm.The convergence results also apply to the case of real-valued tensors.
Collections
Sign up for free to add this paper to one or more collections.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.