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On the Uniqueness of Solutions to Systems of Linear Algebraic Equations Resulting from the Reduction of Linear Inverse Problems of Gravimetry and Magnetometry: a Local Case

I. I. Kolotov, D. V. Lukyanenko, I. E. Stepanova, A. G. Yagola

2023Computational Mathematics and Mathematical Physics14 citationsDOI

Abstract

Abstract The paper considers issues of unique solvability of systems of linear algebraic equations to which many inverse problems of geophysics are reduced as a result of discretization. Examples of degenerate and nondegenerate systems of different dimensions arising from the interpretation of gravity and magnetometric data are given.

Topics & Concepts

MathematicsUniquenessAlgebraic numberDegenerate energy levelsInverse problemDiscretizationApplied mathematicsInverseLinear systemReduction (mathematics)System of linear equationsAlgebraic equationInterpretation (philosophy)Mathematical analysisNonlinear systemGeometryComputer sciencePhysicsQuantum mechanicsProgramming languageGeophysical and Geoelectrical MethodsGeophysics and Gravity MeasurementsGeochemistry and Geologic Mapping
On the Uniqueness of Solutions to Systems of Linear Algebraic Equations Resulting from the Reduction of Linear Inverse Problems of Gravimetry and Magnetometry: a Local Case | Litcius