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Generalized quadrature for solving singular integral equations of Abel type in application to infrared tomography

... methods for numerical solution of singular integral equation of Abel type. We overcome the singularity using the analytic computation of the singular integral. The problem of solution of singular integral equation is reduced to nonsingular system of linear algebraic equations without shift meshes techniques employment. We also propose generalized quadrature method for solution of Abel equation using the singular integral. Relaxed errors bounds are derived. In order to improve the accuracy we use ...

Теги: linear algebra , linear equations , numerical methods , tomography , abel equation , generalized quadrature , infrared tomography , quadrature , regularization , singular kernel , integral equations
Раздел: ИСЭМ СО РАН
Using the Interior Point Method to Find Normal Solutions to a System of Linear Algebraic Equations with Bilateral Constraints on Variables*

Zorkaltsev V.I., Perzhabinsky S.M., Stetsyuk P.I. Using the Interior Point Method to Find Normal Solutions to a System of Linear Algebraic Equations with Bilateral Constraints on Variables* // Cybernetics and Systems Analysis. Vol.51. No.6. 2015. P.896-904. DOI: 10.1007/s10559-015-9782-1 The authors consider primal interior point algorithms to find normal solutions to systems ...

Теги: algorithms , computation theory , computational efficiency , linear algebra , linear equations , linear programming , problem solving , bilateral constraints , computational algorithm , experimental analysis
Раздел: ИСЭМ СО РАН


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