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MOC
2000

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Newton's method for overdetermined systems of equations

14 years 15 days ago

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Abstract. Complexity theoretic aspects of continuation methods for the solution of square or underdetermined systems of polynomial equations have been studied by various authors. I...

Jean-Pierre Dedieu, Mike Shub

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Id	Views	Title	Status

1	181	Newton's method for overdetermined systems of equations	claim
2	173	Computation of Gauss-Kronrod quadrature rules	claim
3	145	Approximating the exponential from a Lie algebra to a Lie group	claim
4	137	The apolar bilinear form in geometric modeling	claim
5	132	Lattice computations for random numbers	claim
6	131	Convergence of gauge method for incompressible flow	claim
7	127	Can a finite element method perform arbitrarily badly?	claim
8	126	Adaptive multilevel methods in space and time for parabolic problems-the periodic case	claim
9	124	Local and parallel finite element algorithms based on two-grid discretizations	claim
10	122	Explicit resolutions of cubic cusp singularities	claim
11	113	A finite element approximation for a class of degenerate elliptic equations	claim
12	111	Voronoi's algorithm in purely cubic congruence function fields of unit rank 1	claim
13	109	A mixed formulation of Boussinesq equations: Analysis of nonsingular solutions	claim
14	109	A posteriori error estimation and adaptivity for degenerate parabolic problems	claim
15	105	On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems	claim
16	104	A domain embedding preconditioner for the Lagrange multiplier system	claim
17	104	On the solutions of a family of quartic Thue equations	claim
18	104	Analysis of the finite precision bi-conjugate gradient algorithm for nonsymmetric linear systems	claim
19	103	An additive Schwarz method for variational inequalities	claim
20	102	Class group frequencies of real quadratic function fields: The degree 4 case	claim
21	102	Finite element approximation for equations of magnetohydrodynamics	claim
22	100	Monotonicity preservation on triangles	claim
23	97	Convergence rates to the discrete travelling wave for relaxation schemes	claim
24	97	Families of irreducible polynomials of Gaussian periods and matrices of cyclotomic numbers	claim
25	96	Galerkin eigenvector approximations	claim
26	95	Global superconvergence for Maxwell's equations	claim
27	94	A new summation method for power series with rational coefficients	claim
28	94	Irreducibility testing over local fields	claim
29	91	A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature	claim
30	89	Computation of relative class numbers of CM-fields by using Hecke L-functions	claim
31	88	On the error term of symmetric Gauss-Lobatto quadrature formulae for analytic functions	claim
32	88	A posteriori error estimation for variational problems with uniformly convex functionals	claim
33	87	Improving the parallelized Pollard lambda search on anomalous binary curves	claim
34	86	Numerical algorithms for semilinear parabolic equations with small parameter based on approximation of stochastic equations	claim
35	85	Conjugacy classes in finite permutation groups via homomorphic images	claim
36	85	Improving the convergence of non-interior point algorithms for nonlinear complementarity problems	claim
37	85	Bivariate composite vector valued rational interpolation	claim
38	84	Solving Thue equations without the full unit group	claim
39	83	On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form	claim
40	83	A hierarchical method for obtaining eigenvalue enclosures	claim
41	83	Stability and B-convergence properties of multistep Runge-Kutta methods	claim
42	83	Random Fibonacci sequences and the number 1.13198824...	claim
43	82	A Lanczos-type method for multiple starting vectors	claim
44	82	Three new factors of Fermat numbers	claim
45	80	On a unit group generated by special values of Siegel modular functions	claim
46	80	A modification of Shanks' baby-step giant-step algorithm	claim
47	79	Computational scales of Sobolev norms with application to preconditioning	claim
48	79	On fundamental domains of arithmetic Fuchsian groups	claim
49	78	Tables of curves with many points	claim
50	78	Using number fields to compute logarithms in finite fields	claim
51	78	Poonen's question concerning isogenies between Smart's genus 2 curves	claim
52	77	Isomorphisms between Artin-Schreier towers	claim
53	77	Locking-free finite elements for the Reissner-Mindlin plate	claim
54	77	Ultraconvergence of the patch recovery technique II	claim
55	76	Optimal approximation of stochastic differential equations by adaptive step-size control	claim
56	76	The convergence of the cascadic conjugate-gradient method applied to elliptic problems in domains with re-entrant corners	claim
57	75	Multihomogeneous Newton methods	claim
58	75	Some polynomials over Q(t) and their Galois groups	claim
59	74	Computing the tame kernel of quadratic imaginary fields	claim
60	74	Higher-order Carmichael numbers	claim
61	73	Korovkin tests, approximation, and ergodic theory	claim
62	73	Stability of Runge-Kutta methods for quasilinear parabolic problems	claim
63	72	On the convergence of certain Gauss-type quadrature formulas for unbounded intervals	claim
64	71	Zeroes of Dirichlet L-functions and irregularities in the distribution of primes	claim
65	71	The third largest prime divisor of an odd perfect number exceeds one hundred	claim
66	71	Salem numbers of negative trace	claim
67	70	Extrapolation methods and derivatives of limits of sequences	claim
68	69	Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions	claim
69	69	Evaluating higher derivative tensors by forward propagation of univariate Taylor series	claim
70	69	Uniform hp convergence results for the mortar finite element method	claim
71	68	Numerical approximations of one-dimensional linear conservation equations with discontinuous coefficients	claim
72	68	From formal numerical solutions of elliptic PDE's to the true ones	claim
73	67	A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions	claim
74	67	New primitive t-nomials (t = 3, 5) over GF(2) whose degree is a Mersenne exponent	claim
75	65	Almost periodic factorization of certain block triangular matrix functions	claim
76	63	A parametric family of quintic Thue equations	claim
77	62	Uzawa type algorithms for nonsymmetric saddle point problems	claim
78	53	Evolution Galerkin methods for hyperbolic systems in two space dimensions	claim

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