1. Introduction -- 2. Krylov subspace methods -- 3. Matching moments and model reduction view -- 4. Short recurrences for generating orthogonal Krylov subspace bases -- 5. Cost of computations using Krylov subspace methods
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This volume describes the principles and history behind the use of Krylov subspace methods in science and engineering. The outcome of the analysis is very practical and indicates what can and cannot be expected from the use of Krylov subspace methods challenging some common assumptions and justifications of standard approaches