Fractional transformation group induced by QR factorization and linear prediction problem
type: Item
instance of: scholarly article
title: Fractional transformation group induced by QR factorization and linear prediction problem
zbMATH Open document ID: 0639.93057
DOI: 10.1016/0167-6911(88)90050-3
author: Yoshimasa Nakamura
published in: Systems \& Control Letters
publication date: 1988-01-01T00:00:00Z
review text: This paper introduces a fractional transformation group in terms of the unitary factor of the QR transformation, that acts on the space of linear predictors for nonstationary processes. Besides having the theoretical significance of possessing a group structure, these transformations can be used to generate new predictors from the old ones.
Mathematics Subject Classification ID: 93E11
Mathematics Subject Classification ID: 60G25
Mathematics Subject Classification ID: 22E70
Mathematics Subject Classification ID: 15A90
zbMATH DE Number: 4043733
zbMATH Keywords: fractional transformation group
zbMATH Keywords: QR transformation
zbMATH Keywords: linear predictors
reviewed by: Edwin Engin Yaz
MaRDI profile type: Publication
full work available at URL: 0167-6911(88)90050-3
OpenAlex ID: W2338856728
cites work: A scaling theory for linear systems
cites work: Q3315345
cites work: Riccati group invariants of linear hamiltonian systems
cites work: Q5565587
cites work: Group Actions on Linear Predictors for Nonstationary Processes
cites work: Q3826997
cites work: A symmetry group for the matrix Riccati equation
cites work: Q5674306
description: scientific article; zbMATH DE number 4043733