Kaczmarz Projection Algorithms in Moving Window: Performance Improvement via Extended Orthogonality & Forgetting

Fuente: arXiv
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Autore principale: Stotsky, Alexander
Natura: Preprint
Pubblicazione: 2024
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author Stotsky, Alexander
author_facet Stotsky, Alexander
contents New Kaczmarz algorithms with rank two gain update, extended orthogonality property and forgetting mechanism which includes both exponential and instantaneous forgetting (implemented via a proper choice of the forgetting factor and the window size) are introduced and associated in this report with well-known Kaczmarz algorithms with rank one update.
format Preprint
id arxiv_https___arxiv_org_abs_2405_16903
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Kaczmarz Projection Algorithms in Moving Window: Performance Improvement via Extended Orthogonality & Forgetting
Stotsky, Alexander
Optimization and Control
Numerical Analysis
Dynamical Systems
Spectral Theory
New Kaczmarz algorithms with rank two gain update, extended orthogonality property and forgetting mechanism which includes both exponential and instantaneous forgetting (implemented via a proper choice of the forgetting factor and the window size) are introduced and associated in this report with well-known Kaczmarz algorithms with rank one update.
title Kaczmarz Projection Algorithms in Moving Window: Performance Improvement via Extended Orthogonality & Forgetting
topic Optimization and Control
Numerical Analysis
Dynamical Systems
Spectral Theory
url https://arxiv.org/abs/2405.16903