Published 1996 | Submitted
Book Section - Chapter Open

Inertia conditions for the minimization of quadratic forms in indefinite metric spaces

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Abstract

Using results on indefinite metric space theory, two minimization problems are considered. Under a fundamental set of inertia conditions, a complete link between both solutions can be established. A very nice translation of prediction and filtering notions in the language of indefinite metric notions can be found. Applications to H^∞ filtering and approximate total least squares methods are presented.

Additional Information

© 1996 Birkhäuser Basel. This work was supported in part by a grant from the National Science Foundation under award no. MIP-9409319, and by the Army Research Office under contract DAAL03-89-K-0109.

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August 20, 2023
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March 5, 2024