Linear inverse problems in wave motion nonsymmetric first-kind integral equations.

We present a general framework to study the solution of first-kind integral equations. The integral operator is assumed to be compact and nonself-adjoint and the integral equation can possess a nonempty null space. An approach is presented for adding contributions from the null space to the minimum-...

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Bibliographic Details
Published in:	IEEE Transactions on antennas and propagation 48, 10 (2000).
Main Author:	Dudley, D.G
Format:	Article
Language:	English
Subjects:	SVD. Compact integral operator. Data fit operator. Eigenfunctions. First-kind Fredholm integral equations. Linear inverse problems. Minimum-energy solution. Model covariance operator. Model resolution. Nonempty null space. Nonself-adjoint integral operator. Nonsymmetric first-kind integral equations. Singular-value decomposition. Solution accuracy. Solution nonuniqueness. Stability. Wave motion. Weighted Hilbert spaces.