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Bounds for the Least Squares Residual using Scaled Total Least Squares.

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F02%3A06020014" target="_blank" >RIV/67985807:_____/02:06020014 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Bounds for the Least Squares Residual using Scaled Total Least Squares.

  • Original language description

    This contribution presents a theoretical analysis of the relationship between the sizes of the LS and Scaled TLS corrections (called the LS and Scaled TLS distances). We give new upper and lower bounds on the LS distance in terms of the Scaled TLS distance, compare these to existing bounds, and examine the tightness of the new bounds. This work can be applied to the analysis of iterative methods which minimize the residual norm.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/IAA2030801" target="_blank" >IAA2030801: Parallelization of computer processing</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2002

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Total Least Squares and Errors-in-Variables. Modelling: Analysis, Algorithms and Applications.

  • ISBN

    1-4020-0476-1

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    35-43

  • Publisher name

    Kluwer Academic Publishers

  • Place of publication

    Dordrecht

  • Event location

    Leuven [BE]

  • Event date

    Aug 27, 2001

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article