#TITLE_ALTERNATIVE#

If A : X -- Y is a linear compact operator on Hilbert space X, Y with dim (X) is not finite dimension then the linear compact operator A can not have a continuous inverse. We wish to approximate the solution (p to the equation Ap = f from knowledge of a perturbed right hand side f 6 with known error...

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Main Author: SUJATMIKO (NIM 20195504), PONCO
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/8937
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:8937
spelling id-itb.:89372017-09-27T14:41:45Z#TITLE_ALTERNATIVE# SUJATMIKO (NIM 20195504), PONCO Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/8937 If A : X -- Y is a linear compact operator on Hilbert space X, Y with dim (X) is not finite dimension then the linear compact operator A can not have a continuous inverse. We wish to approximate the solution (p to the equation Ap = f from knowledge of a perturbed right hand side f 6 with known error level II f - f 6II < 6, i.e., we want <p6 to depend continuously on the data f 6. Therefore our task requires finding an approximation of the unbounded invers operator A-1 : A (X) -- X by a bounded linear operator Ra : Y --- X. text
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description If A : X -- Y is a linear compact operator on Hilbert space X, Y with dim (X) is not finite dimension then the linear compact operator A can not have a continuous inverse. We wish to approximate the solution (p to the equation Ap = f from knowledge of a perturbed right hand side f 6 with known error level II f - f 6II < 6, i.e., we want <p6 to depend continuously on the data f 6. Therefore our task requires finding an approximation of the unbounded invers operator A-1 : A (X) -- X by a bounded linear operator Ra : Y --- X.
format Theses
author SUJATMIKO (NIM 20195504), PONCO
spellingShingle SUJATMIKO (NIM 20195504), PONCO
#TITLE_ALTERNATIVE#
author_facet SUJATMIKO (NIM 20195504), PONCO
author_sort SUJATMIKO (NIM 20195504), PONCO
title #TITLE_ALTERNATIVE#
title_short #TITLE_ALTERNATIVE#
title_full #TITLE_ALTERNATIVE#
title_fullStr #TITLE_ALTERNATIVE#
title_full_unstemmed #TITLE_ALTERNATIVE#
title_sort #title_alternative#
url https://digilib.itb.ac.id/gdl/view/8937
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