Abstract
When an orthogonal projection is to be computed using data acquired by distributed sensors, it is often necessary to process each sensor's data locally and then transmit the results to a central facility for final processing. The most efficient way to do this is to compute oblique projections locally. This choice makes the final processing a matter of summing the oblique projections. In this paper we derive new formulas, and iterative algorithms and associated error bounds, for oblique projections in arbitrary Hilbert spaces.
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This work was supported by the Office of Naval Research under Contract N00014-85-K-0255.
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Kayalar, S., Weinert, H.L. Oblique projections: Formulas, algorithms, and error bounds. Math. Control Signal Systems 2, 33–45 (1989). https://doi.org/10.1007/BF02551360
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DOI: https://doi.org/10.1007/BF02551360