The Generalized Multiplicative Gradient Method and Its Convergence Rate Analysis

Renbo Zhao

doi:10.48550/arxiv.2207.13198

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The Generalized Multiplicative Gradient Method and Its Convergence Rate Analysis

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The Generalized Multiplicative Gradient Method and Its Convergence Rate Analysis

Renbo Zhao

ArXiv.org

Cornell University

07/26/2022

DOI: 10.48550/arxiv.2207.13198

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https://doi.org/10.48550/arXiv.2207.13198View

Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

Multiplicative gradient method is a classical and effective method for solving the positron emission tomography (PET) problem. In this work, we propose a generalization of this method on a broad class of problems, which includes the PET problem as a special case. We show that this generalized method converges with rate O(1/k).

Mathematics - Optimization and Control

Details

Title: Subtitle: The Generalized Multiplicative Gradient Method and Its Convergence Rate Analysis
Creators: Renbo Zhao
Resource Type: Preprint
Publication Details: ArXiv.org
DOI: 10.48550/arxiv.2207.13198
ISSN: 2331-8422
Publisher: Cornell University
Number of pages: 20
Language: English
Date posted: 07/26/2022
Academic Unit: Business Analytics
Record Identifier: 9984446728202771

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