Matrix Transformations and Quasi-Newton Methods
We first recall some properties of infinite tridiagonal matrices considered as matrix transformations in sequence spaces of the forms sξ, sξ∘, sξ(c), or lp(ξ). Then, we give some results on the finite section method for approximating a solution of an infinite linear system. Finally, using a quasi-Ne...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/25704 |
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| Summary: | We first recall some properties of infinite tridiagonal
matrices considered as matrix transformations in sequence spaces of the forms
sξ, sξ∘, sξ(c), or lp(ξ). Then, we give some results on the finite section
method for approximating a solution of an infinite linear system. Finally,
using a quasi-Newton method, we construct a sequence that converges fast to a
solution of an infinite linear system. |
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| ISSN: | 0161-1712 1687-0425 |