Solving rank-deficient separable nonlinear equations

DOI10.1016/j.apnum.2006.07.025zbMath1121.65057OpenAlexW2003434190MaRDI QIDQ881481

Tjalling J. Ypma, Yun-Qiu Shen

Publication date: 30 May 2007

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2006.07.025

zbMATH Keywords

algorithmNewton's methodnumerical examplesprojection methodLU factorizationnonlinear variablesrank-deficient matrixseparable nonlinear system

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items

Numerical solution of separable nonlinear equations with a singular matrix at the solution, Rank deficiencies and bifurcation into affine subspaces for separable parameterized equations, An efficient algorithm for the separable nonlinear least squares problem, Improved two-step Newton's method for computing simple multiple zeros of polynomial systems, Two-step Newton's method for deflation-one singular zeros of analytic systems, Solving separable nonlinear least squares problems using the QR factorization, On isolation of simple multiple zeros and clusters of zeros of polynomial systems, The variable projection algorithm in time-resolved spectroscopy, microscopy and mass spectrometry applications

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