Numerical analysis of parametrized nonlinear equations
Numerical analysis of parametrized nonlinear equations
CONKUB: A conversational path-follower for systems of nonlinear equations
Journal of Computational Physics
GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
SIAM Journal on Scientific and Statistical Computing
Applied Mathematics and Computation
A homotopy for solving general polynomial systems that respects m-homogenous structures
Applied Mathematics and Computation
Implementation of the GMRES method using householder transformations
SIAM Journal on Scientific and Statistical Computing - Telecommunication Programs at U.S. Universities
The expanded Lagrangian system for constrained optimization problems
SIAM Journal on Control and Optimization
Coefficient-parameter polynomial continuation
Applied Mathematics and Computation
Finding all isolated solutions to polynomial systems using HOMPACK
ACM Transactions on Mathematical Software (TOMS)
Large sparse continuation problems
Journal of Computational and Applied Mathematics - Continuation Techniques and Bifurcation Problems
Numerical continuation methods: an introduction
Numerical continuation methods: an introduction
Least-change secant update methods for undetermined systems
SIAM Journal on Numerical Analysis
LAPACK's user's guide
The method of resultants for computing real solutions of polynomial systems
SIAM Journal on Numerical Analysis
SIAM Journal on Scientific and Statistical Computing
Preconditioned iterative methods for homotopy curve tracking
SIAM Journal on Scientific and Statistical Computing - Special issue on iterative methods in numerical linear algebra
Analog Integrated Circuits and Signal Processing - Special issue on computer-aided design of analog circuits and systems
A flexible inner-outer preconditioned GMRES algorithm
SIAM Journal on Scientific Computing
The superlinear convergence behaviour of GMRES
Journal of Computational and Applied Mathematics
Homotopies exploiting Newton polytopes for solving sparse polynomial systems
SIAM Journal on Numerical Analysis
A product-decomposition bound for Bezout numbers
SIAM Journal on Numerical Analysis
Algorithm 652: HOMPACK: a suite of codes for globally convergent homotopy algorithms
ACM Transactions on Mathematical Software (TOMS)
Note on the end game in homotopy zero curve tracking
ACM Transactions on Mathematical Software (TOMS)
Journal of Computational and Applied Mathematics
Matrix computations (3rd ed.)
GMRES On (Nearly) Singular Systems
SIAM Journal on Matrix Analysis and Applications
Algorithm 502: Dependence of Solution of Nonlinear Systems on a Parameter [C5]
ACM Transactions on Mathematical Software (TOMS)
Algorithm 555: Chow-Yorke Algorithm for Fixed Points or Zeros of C2 Maps [C5]
ACM Transactions on Mathematical Software (TOMS)
Algorithm 596: a program for a locally parameterized
ACM Transactions on Mathematical Software (TOMS)
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
LAPACK Working Note 33: Robust Incremental Condition Estimation
LAPACK Working Note 33: Robust Incremental Condition Estimation
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation
ACM Transactions on Mathematical Software (TOMS)
ACM Transactions on Mathematical Software (TOMS)
Discretization of implicit ODEs for singular root-finding problems
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Probability-one homotopies in computational science
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Dynamic Data Structures for a Direct Search Algorithm
Computational Optimization and Applications
A globally convergent method for finding zeros of smooth functions
Applied Mathematics and Computation
Canonical coordinates method for equality-constrained nonlinear optimization
Applied Mathematics and Computation
Solvers for Nonlinear Algebraic Equations; Where Are We Today?
PPAM '01 Proceedings of the th International Conference on Parallel Processing and Applied Mathematics-Revised Papers
Solvers for Systems of Nonlinear Algebraic Equations - Their Sensitivity to Starting Vectors
NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications
Journal of Computational and Applied Mathematics - Proceedings of the international conference on recent advances in computational mathematics
Neighbor list collision-driven molecular dynamics simulation for nonspherical hard particles.
Journal of Computational Physics
ACM Transactions on Mathematical Software (TOMS)
Optimization Methods & Software
Probability-one homotopy maps for mixed complementarity problems
Computational Optimization and Applications
Algorithm 897: VTDIRECT95: Serial and parallel codes for the global optimization algorithm direct
ACM Transactions on Mathematical Software (TOMS)
Solving generalized Nash equilibrium problem with equality and inequality constraints
Optimization Methods & Software
A User's Guide to Solving Dynamic Stochastic Games Using the Homotopy Method
Operations Research
Chern numbers of smooth varieties via homotopy continuation and intersection theory
Journal of Symbolic Computation
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part IV
Probability-one homotopy maps for tracking constrained clustering solutions
Proceedings of the High Performance Computing Symposium
Journal of Computational Physics
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