Kaczmarz Projection Algorithms in Moving Window: Performance Improvement via Extended Orthogonality & Forgetting
<|reference_start|>Kaczmarz Projection Algorithms in Moving Window: Performance Improvement via Extended Orthogonality & Forgetting: 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.<|reference_end|>
@article{stotsky2024kaczmarz,
    title={Kaczmarz Projection Algorithms in Moving Window: Performance Improvement
  via Extended Orthogonality & Forgetting},
    author={Alexander Stotsky},
    journal={arXiv preprint arXiv:2405.16903},
    year={2024},
    doi={10.1007/s11265-024-01915-w},
    archivePrefix={arXiv},
    eprint={2405.16903},
    primaryClass={math.OC cs.NA math.DS math.NA math.SP}
}