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Inverse Theory, Linear

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Encyclopedia of Solid Earth Geophysics

Part of the book series: Encyclopedia of Earth Sciences Series ((EESS))

Introduction

The activity of solving inverse problems is all pervading. We perform this activity throughout our life right since birth. As a new born baby the first inverse problem we solve, albeit through pattern recognition, is identification of mother in a group of persons. In this vein, the geophysical inverse problems are just a member of the class of inverse problems encountered and studied in science. Formally, the inverse problem can be defined as an estimation of system parameters together with their uncertainties from the observed system response to a given source excitation. In contrast, the forward problem is defined as computation of response of the system for a given model of its properties and for a given source excitation. Most of the geophysical inverse problems are nonlinear by virtue of the system response being a nonlinear function of system parameters. However, a widely employed class of methodologies solves the nonlinear inverse problems through...

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Authors and Affiliations

  1. Department of Earth Sciences, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, 247 667, India

    Pravin K. Gupta

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  1. Pravin K. Gupta
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Correspondence to Pravin K. Gupta .

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Editors and Affiliations

  1. National Geophysical Research Institute, Council of Scientific and Industrial Research, Hyderabad, India

    Harsh K. Gupta

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Gupta, P.K. (2011). Inverse Theory, Linear. In: Gupta, H.K. (eds) Encyclopedia of Solid Earth Geophysics. Encyclopedia of Earth Sciences Series. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-8702-7_151

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