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updated 2 years ago

Newton's method done right by Andrew Knyazev

Newton's method for solving systems of nonlinear equations, including nonsquare and inconsistent (mathematics, physics, modeling)

Newton(X,F,X0,varargin)

NewtonDemoRunMe.m

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updated almost 3 years ago

ODE Tutorial Demo by Andrew Knyazev

Advanced examples of using the MATLAB Symbolic Math Toolbox for Ordinary Differential Equations (ode, symbolic, movies)

ODEtutorial.m

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updated almost 3 years ago

lobpcg.m by Andrew Knyazev

LOBPCG solves Hermitian partial generalized eigenproblems using preconditioning, competes with eigs (linear algebra, symmetric, partial)

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updated 3 years ago

Best polynomial approximation in uniform norm by Andrew Knyazev

For a given function on an interval, the code calculates the min-max approximation by a polynomial. (mathematics, statistics, optimization)

polyfitinf(M,N,K,X,Y,EPSH,MAXIT,REF0)

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updated 3 years ago

pcg.m with 'null' and 'flex' options by Andrew Knyazev

Preconditioned Conjugate Gradients handles homogeneous equations and nonsymmetric preconditioning (linear algebra, preconditioned, conjugate)

pcg(A,b,tol,maxit,M1,M2,x0,opts1,opts2,varargin)

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updated 3 years ago

Laplacian in 1D, 2D, or 3D by Andrew Knyazev

Sparse (1-3)D Laplacian on a rectangular grid with exact eigenpairs. (matrix, mathematics, laplacian)

laplacian(varargin)

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updated 3 years ago

subspacea.m by Andrew Knyazev

Angles between subspaces. Canonical correlations. (linear algebra, principal, angle)

subspacea(F,G,A)

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updated 4 years ago

matlab2hypre and hypre2matlab by Andrew Knyazev

Read and write files with sparse matrices and vectors in hypre format (mathematics, data export, data import)

hypreIJ2matlab(filename)

hypreParVectors2matlab(filename,varargin)

matlab2hypreIJ(A, num_procs, filename, varargin)

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updated 4 years ago

majorization check by Andrew Knyazev

checks if X is (weakly) majorized by Y, where X and Y must be numeric arrays. (mathematics, statistics, majorization)

[s,z]=majle(x,y,majleTol)

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updated 5 years ago

subspace.m by Andrew Knyazev

Angle between subspaces. (linear algebra, subspace, angle)

subspace(A,B)

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updated 5 years ago

ortha.m by Andrew Knyazev

Orthonormalization Relative to matrix A (linear algebra, orthonormalization, relative)

[Q,varargout]=ortha(A,X)

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