Preface 1. Introduction 2. Applications 3. Parameterized Inverse Eigenvalue Problems 4. Structured Inverse Eigenvalue Problems 5. Partially Described Inverse Eigenvalue Problems 6. Least Squares Inverse Eigenvalue Problems 7. Spectrally Constrained Approximation 8. Structured Low Rank Approximation 9.
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Chu et al. (2005) studied this question.
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