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Classical and Quantum Complexity of the Sturm–Liouville Eigenvalue Problem

✍ Scribed by A. Papageorgiou; H Woźniakowski

Publisher: Springer US
Year: 2005
Tongue: English
Weight: 284 KB
Volume: 4
Category: Article
ISSN: 1570-0755
DOI: 10.1007/s11128-005-4481-x

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## Abstract We consider the Sturm–Liouville problem (1.1) and (1.2) with a potential depending rationally on the eigenvalue parameter. With these equations a __λ__ ‐linear eigenvalue problem is associated in such a way that __L__~2~‐solutions of (1.1), (1.2) correspond to eigenvectors of a linear o