Tosio Karo. Perturbatio Theory for Linear Operators. Springer-Verlag, New York, 1966. Home/Search Document Not in Database Summary Related Articles |
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in Global Illumination * - James Arvo Program (Correct)
....the solution to f g q Kf. 31) Of course, equation (31) is equivalent to Af = g, where A I K. Although much of what follows applies to any non singular A, including equations of the 1st kind, we will focus exclusively on the 2rid kind equations. 5. 1 Neumann Series The Neumann series [21] method is based on the operator analogue of the familiar geometric series 1 2 for i.1 1. 32) When Ix[ is sufficiently small, 1 x cannot be zero, so it must have an inverse. The same holds for linear operators, where size is defined by the operator norm. Thus, K[ 1 implies ....
Tosio Karo. Perturbatio Theory for Linear Operators. Springer-Verlag, New York, 1966.
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