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Inverse Eigenvalue ProblemsTheory, Algorithms, and Applications$
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Moody Chu and Gene Golub

Print publication date: 2005

Print ISBN-13: 9780198566649

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198566649.001.0001

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Inverse Eigenvalue Problems

Moody T. Chu

Gene H. Golub

Oxford University Press

This chapter introduces the underlying difference between a forward problem and an inverse problem. Fundamental issues such as solvability, computability, sensitivity, and feasibility are raised. Different formulations based on the prescribed spectral and structural constraints are classified via a nomenclative system and an inclusion diagram.

Keywords:   forward problem, inverse problem, spectral constraint, structural constraint

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