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The Lanczos Method: Evolution and Application

Louis Komzsik

Open publisher page 41 citations

Abstract

Preface Part I. Evolution. 1. The classical Lanczos method 2. The Lanczos method in exact arithmetic 3. The Lanczos method in finite precision 4. Block real symmetric Lanczos method 5. Block unsymmetric Lanczos method Part II. Applications. 6. Industrial implementation of the Lanczos method 7. Free undamped vibrations 8. Free damped vibrations 9. Forced vibration analysis 10. Linear systems and the Lanczos method Closing remarks A brief biography of Cornelius Lanczos Bibliography Index.

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What this paper is about

Preface Part I. Evolution. 1. The classical Lanczos method 2. The Lanczos method in exact arithmetic 3. The Lanczos method in finite precision 4. Block real symmetric Lanczos method 5. Block unsymmetric Lanczos method Part II. Applications. 6. Industrial implementation of the Lanczos method 7. Free undamped vibrations 8. Free damped vibrations 9. Forced vibration analysis 10. Linear systems and the Lanczos method Closing remarks A brief biography of Cornelius Lanczos Bibliography Index.

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Available abstract

Preface Part I. Evolution. 1. The classical Lanczos method 2. The Lanczos method in exact arithmetic 3. The Lanczos method in finite precision 4. Block real symmetric Lanczos method 5. Block unsymmetric Lanczos method Part II. Applications. 6. Industrial implementation of the Lanczos method 7. Free undamped vibrations 8. Free damped vibrations 9. Forced vibration analysis 10. Linear systems and the Lanczos method Closing remarks A brief biography of Cornelius Lanczos Bibliography Index.

Key concepts: Lanczos resampling, Lanczos algorithm, Applied mathematics, Block (permutation group theory), Mathematics, Lanczos tensor, Computer science, Physics

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