1990Inverse ProblemsOpen access

On extending the orthogonality property of minimum norm solutions in Hilbert space to general methods for linear inverse problems

Lee K. Jones, V Trutzer

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Abstract

It is shown that the principle of directed orthogonality is the appropriate extension of the orthogonality property for minimum norm solutions in Hilbert space to general methods for discrete linear inverse problems.

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It is shown that the principle of directed orthogonality is the appropriate extension of the orthogonality property for minimum norm solutions in Hilbert space to general methods for discrete linear inverse problems.

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Available abstract

It is shown that the principle of directed orthogonality is the appropriate extension of the orthogonality property for minimum norm solutions in Hilbert space to general methods for discrete linear inverse problems.

Key concepts: Mathematics, Orthogonality, Hilbert space, Norm (philosophy), Inverse, Property (philosophy), Rigged Hilbert space, Inverse problem

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