#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: | |
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/8937 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | 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. |
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