Moderate deviations in a random graph and for the spectrum of Bernoulli random matrices.
Modification of the alternating direction implicit method and connections with von Neumann's method
Modifications of Newton-Cotes formulas for computation of repeated integrals and derivatives
Standard algorithms for numerical integration are defined for simple integrals. Formulas for computation of repeated integrals and derivatives for equidistant domain partition based on modified Newton-Cotes formulas are derived. We compare usage of the new formulas with the classical quadrature formulas and discuss possible application of the results to solving higher order differential equations.
Modifications of the continuation method for the solution of systems of nonlinear equations.
Modifications of the limited-memory BFGS method based on the idea of conjugate directions
Simple modifications of the limited-memory BFGS method (L-BFGS) for large scale unconstrained optimization are considered, which consist in corrections of the used difference vectors (derived from the idea of conjugate directions), utilizing information from the preceding iteration. For quadratic objective functions, the improvement of convergence is the best one in some sense and all stored difference vectors are conjugate for unit stepsizes. The algorithm is globally convergent for convex sufficiently...
Modified Adomian decomposition method for singular initial value problems in the second-order ordinary differential equations.
Modified block-approximate factorization strategies.
Modified Crank-Nicolson difference schemes for nonlocal boundary value problem for the Schrödinger equation.
Modified Gauss-Legendre, Lobatto and Radau cubature formulas for the numerical evaluation of 2-D singular integrals.
Modified golden ratio algorithms for pseudomonotone equilibrium problems and variational inequalities
We propose a modification of the golden ratio algorithm for solving pseudomonotone equilibrium problems with a Lipschitz-type condition in Hilbert spaces. A new non-monotone stepsize rule is used in the method. Without such an additional condition, the theorem of weak convergence is proved. Furthermore, with strongly pseudomonotone condition, the $R$-linear convergence rate of the method is established. The results obtained are applied to a variational inequality problem, and the convergence rate...
Modified Gram-Schmidt for solving linear least squares problems is equivalent to Gaussian elimination for the normal equations
Modified Jacobian Newton iterative method: theory and applications.
Modified Moments for Indefinite Weight Functions.
Modified optimal quadrature extensions.
Modified Specht's plate bending element and its convergence analysis.
Modified step variational iteration method for solving fractional biochemical reaction model.
Moment computation in shift invariant spaces.
Moment preserving spline approximation finite intervals and Chakalov-Popoviciu quadratures.
Moment-Preserving Spline Approximation on Finite Intervals.
Monitoring the Stability of the Triangular Factorization of a Sparse Matrix.