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Convergence of Iterations for Linear Equations
Nevanlinna Olavi
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Description for Convergence of Iterations for Linear Equations
paperback. Discussing the convergence of Krylov subspace methods for solving fixed point problems, this work focuses on the dynamical aspects of the iteration processes and outlines all the phases of a lifespan of an iteration. Series: Lectures in Mathematics. ETH Zurich. Num Pages: 188 pages, 15 black & white illustrations, biography. BIC Classification: PBK; PBT. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 244 x 170 x 10. Weight in Grams: 316.
Assume that after preconditioning we are given a fixed point problem x = Lx + f (*) where L is a bounded linear operator which is not assumed to be symmetric and f is a given vector. The book discusses the convergence of Krylov subspace methods for solving fixed point problems (*), and focuses on the dynamical aspects of the iteration processes. For example, there are many similarities between the evolution of a Krylov subspace process and that of linear operator semigroups, in particular in the beginning of the iteration. A lifespan of an iteration might typically start with a ... Read more
Assume that after preconditioning we are given a fixed point problem x = Lx + f (*) where L is a bounded linear operator which is not assumed to be symmetric and f is a given vector. The book discusses the convergence of Krylov subspace methods for solving fixed point problems (*), and focuses on the dynamical aspects of the iteration processes. For example, there are many similarities between the evolution of a Krylov subspace process and that of linear operator semigroups, in particular in the beginning of the iteration. A lifespan of an iteration might typically start with a ... Read more
Product Details
Format
Paperback
Publication date
1993
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
188
Condition
New
Series
Lectures in Mathematics. ETH Zurich
Number of Pages
180
Place of Publication
Basel, Switzerland
ISBN
9783764328658
SKU
V9783764328658
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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