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Geophysical data analysis : discrete inverse theory /

Detailed discussion of application of inverse theory to tectonic, gravitational and geomagnetic studies.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Menke, William
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Diego : Academic Press, �1989.
Edición:Rev. ed.
Colección:International geophysics series ; v. 45.
Temas:
Acceso en línea:Texto completo
Texto completo
Texto completo

MARC

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100 1 |a Menke, William. 
245 1 0 |a Geophysical data analysis :  |b discrete inverse theory /  |c William Menke. 
250 |a Rev. ed. 
260 |a San Diego :  |b Academic Press,  |c �1989. 
300 |a 1 online resource (xii, 289 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a International geophysics series ;  |v v. 45 
504 |a Includes bibliographical references (pages 277-280) and index. 
505 0 |a Preface. -- Introduction. -- DESCRIBING INVERSE PROBLEMS -- Formulating Inverse Problems. -- The Linear Inverse Problem. -- Examples of Formulating Inverse Problems. -- Solutions to Inverse Problems. -- SOME COMMENTS ON PROBABILITY THEORY -- Noise and Random Variables. -- Correlated Data. -- Functions of Random Variables. -- Gaussian Distributions. -- Testing the Assumption of Gaussian Statistics -- Confidence Intervals. -- SOLUTION OF THE LINEAR, GAUSSIAN INVERSE PROBLEM, VIEWPOINT 1:THE LENGTH METHOD -- The Lengths of Estimates. -- Measures of Length. -- Least Squares for a Straight Line. -- The Least Squares Solution of the Linear Inverse Problem. -- Some Examples. -- The Existence of the Least Squares Solution. -- The Purely Underdetermined Problem. -- Mixed-b1Determined Problems. -- Weighted Measures of Length as a Type of A Priori Information. -- Other Types of A Priori Information. -- The Variance of the Model Parameter Estimates. -- Variance and Prediction Error of the Least Squares Solution. -- SOLUTION OF THE LINEAR, GAUSSIAN INVERSE PROBLEM, VIEWPOINT 2: GENERALIZED INVERSES -- Solutions versus Operators. -- The Data Resolution Matrix. -- The Model Resolution Matrix. -- The Unit Covariance Matrix. -- Resolution and Covariance of Some Generalized Inverses. -- Measures of Goodness of Resolution and Covariance. -- Generalized Inverses with Good Resolution and Covariance. -- Sidelobes and the Backus-Gilbert Spread Function. -- The Backus-Gilbert Generalized Inverse for the Underdetermined Problem. -- Including the Covariance Size. -- The Trade-off of Resolution and Variance. -- SOLUTION OF THE LINEAR, GAUSSIAN INVERSE PROBLEM, VIEWPOINT 3: MAXIMUM LIKELIHOOD METHODS -- The Mean of a Group of Measurements. -- Maximum Likelihood Solution of the Linear Inverse Problem. -- A Priori Distributions. -- Maximum Likelihood for an Exact Theory. -- Inexact Theories. -- The Simple Gaussian Case with a Linear Theory. -- The General Linear, Gaussian Case. -- Equivalence of the Three Viewpoints. -- The F Test of Error Improvement Significance. -- Derivation of the Formulas of Section 5.7. -- NONUNIQUENESS AND LOCALIZED AVERAGES -- Null Vectors and Nonuniqueness. -- Null Vectors of a Simple Inverse Problem. -- Localized Averages of Model Parameters. -- Relationship to the Resolution Matrix. -- Averages versus Estimates. -- Nonunique Averaging Vectors and A Priori Information. -- APPLICATIONS OF VECTOR SPACES -- Model and Data Spaces. -- Householder Transformations. -- Designing Householder Transformations. -- Transformations That Do Not Preserve Length. -- The Solution of the Mixed-Determined Problem. -- Singular-Value Decomposition and the Natural Generalized Inverse. -- Derivation of the Singular-Value Decomposition. -- Simplifying Linear Equality and Inequality Constraints. -- Inequality Constraints. -- LINEAR INVERSE PROBLEMS AND NON-GAUSSIAN DISTRIBUTIONS -- L1 Norms and Exponential Distributions. 
520 |a Detailed discussion of application of inverse theory to tectonic, gravitational and geomagnetic studies. 
588 0 |a Print version record. 
650 0 |a Geophysics  |x Measurement. 
650 0 |a Oceanography  |x Measurement. 
650 0 |a Inverse problems (Differential equations)  |x Numerical solutions. 
650 6 |a Probl�emes inverses (�Equations diff�erentielles)  |x Solutions num�eriques.  |0 (CaQQLa)201-0120718 
650 7 |a SCIENCE  |x Earth Sciences  |x Geography.  |2 bisacsh 
650 7 |a SCIENCE  |x Earth Sciences  |x Geology.  |2 bisacsh 
650 7 |a Geophysics  |x Measurement  |2 fast  |0 (OCoLC)fst00941024 
650 7 |a Inverse problems (Differential equations)  |x Numerical solutions  |2 fast  |0 (OCoLC)fst00978099 
650 7 |a Oceanography  |x Measurement  |2 fast  |0 (OCoLC)fst01043696 
776 0 8 |i Print version:  |a Menke, William.  |t Geophysical data analysis.  |b Rev. ed.  |d San Diego : Academic Press, �1989  |z 0124909213  |z 9780124909212  |w (DLC) 89031224  |w (OCoLC)19457375 
830 0 |a International geophysics series ;  |v v. 45. 
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856 4 0 |u https://sciencedirect.uam.elogim.com/science/publication?issn=00746142&volume=45  |z Texto completo