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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F02%3A06020017" target="_blank" >RIV/67985807:_____/02:06020017 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

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

Original language description

This paper presents a theoretical analysis of the relationship between the sizes of the ordinary least squares (LS) and scaled total least squares (STLS) corrections (called the LS and STLS distances) in terms of scaling parameter. We give new upper andlower bounds on the LS distance in terms of the STLS 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 (GMRES).

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/IAA1030103" target="_blank" >IAA1030103: Scalable Sparse Linear Algebraic Solvers: Analysis, Development, Implementation and Application</a><br>

Continuities

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

Publication year

2002

Confidentiality

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

Name of the periodical

Numerische Mathematik

ISSN

0029-599X

e-ISSN

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Volume of the periodical

91

Issue of the periodical within the volume

N/A

Country of publishing house

DE - GERMANY

Number of pages

23

Pages from-to

93-115

UT code for WoS article

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EID of the result in the Scopus database

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