On the Uniqueness of Solution to Systems of Linear Algebraic Equations to Which the Inverse Problems of Gravimetry and Magnetometry Are Reduced: A Regional Variant
I. I. Kolotov, D. V. Lukyanenko, I. E. Stepanova, А. В. Щепетилов, A. G. Yagola
Abstract
Abstract Conditions for the unique solvability of systems of linear algebraic equations to which many inverse problems of gravitational and magnetic exploration are reduced are considered. The mathematical statements of inverse problems take into account the sphericity of the Earth.
Topics & Concepts
MathematicsSphericityInverse problemUniquenessAlgebraic numberInverseGravimetryMagnetometerAlgebraic equationApplied mathematicsMathematical analysisMagnetic fieldNonlinear systemGeometryPhysicsAstronomyInterferometryQuantum mechanicsGeophysics and Gravity MeasurementsPlanetary Science and ExplorationGeomagnetism and Paleomagnetism Studies