Numerical solution of separable nonlinear equations with a singular matrix at the solution
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Publication:827071
DOI10.1007/S11075-019-00861-0zbMath1456.65033OpenAlexW2997611296WikidataQ126394971 ScholiaQ126394971MaRDI QIDQ827071
Tjalling J. Ypma, Yun-Qiu Shen
Publication date: 6 January 2021
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-019-00861-0
bordered matrixsingular matrixGauss-Newton methodnonlinear least squaresseparable nonlinear equations
Numerical computation of solutions to systems of equations (65H10) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)
Cites Work
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- Solving rank-deficient separable nonlinear equations
- Solving nonlinear systems of equations with only one nonlinear variable
- Regularization methods for uniformly rank-deficient nonlinear least-squares problems
- The variable projection algorithm in time-resolved spectroscopy, microscopy and mass spectrometry applications
- An efficient algorithm for the separable nonlinear least squares problem
- Solving separable nonlinear least squares problems using the QR factorization
- Solving separable nonlinear equations using LU factorization
- Solving \(N+m\) nonlinear equations with only m nonlinear variables
- Rank deficiencies and bifurcation into affine subspaces for separable parameterized equations
- Separable nonlinear least squares: the variable projection method and its applications
- Truncated Gauss–Newton algorithms for Ill-conditioned nonlinear least squares problems
- The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate
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