scientific article

zbMath0856.65066MaRDI QIDQ4002587

Anatoly G. Yagola, A. N. Tikhonov, Alexander S. Leonov

Publication date: 18 September 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

textbookvariational methodsmetric spacenonlinear operator equationsdiscrepancy principleschoice of the regularization parameterquasisolutionsill-posed extremal problemssmoothing functionalill-posed linear algebraic problemsminimal pseudoinverse matrixvariational regularization algorithms

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative procedures involving nonlinear operators (47J25) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items

Analysis of the Influence of the Lagrange Multiplier on the Operation of the Algorithm for Estimating the Signal Parameters under a Priori Uncertainty, Solution of the inverse boundary value problem of heat transfer for an inhomogeneous ball, Source recovery with a posteriori error estimates in linear partial differential equations, Inverse coefficient problems for elliptic equations in a cylinder. I, Variation method solving of the inverse problems for Schrödinger-type equation, Source and coefficient inverse problems for an elliptic equation in a rectangle, Artificial intelligence for COVID-19 spread modeling, Regularized continuous extragradient method for a multicriterial equilibrium programming problem, Inverse problems for elliptic equations in the space. I, Necessary and sufficient conditions for power convergence rate of approximations in Tikhonov's scheme for solving ill-posed optimization problems, Inverse problems for elliptic equations on the plane. I, Control reconstruction in hyperbolic systems, Almost solubility of classes of non-linear integral equations of the first kind on cones, DISCREPANCY SETS FOR COMBINED LEAST SQUARES PROJECTION AND TIKHONOV REGULARIZATION, On regularization of the nondifferential Kuhn-Tucker theorem in a nonlinear problem for constrained extremum