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- W2495200608 abstract "According to Keller, two problems are said to be the inverse of one another if the formulation of one of them involves the other. This definition includes a degree of arbitrariness and confers a symmetric role to both problems under consideration. The prediction of the future state of a physical system, knowing its current state, is the typical example of a direct problem. This chapter considers various inverse problems: for example to reconstitute the past state of the system knowing its current state, or the determination of parameters of the system, knowing its evolution. The most important technique is the reformulation of an inverse problem in the form of the minimization of an error functional between the actual measurements and the synthetic measurements. In the case of linear problems, resorting to linear algebra and to functional analysis allows accurate results as well as efficient algorithms to be obtained." @default.
- W2495200608 created "2016-08-23" @default.
- W2495200608 creator A5006817277 @default.
- W2495200608 date "2016-04-01" @default.
- W2495200608 modified "2023-10-17" @default.
- W2495200608 title "Overview of Inverse Problems" @default.
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- W2495200608 doi "https://doi.org/10.1002/9781119136941.ch1" @default.
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