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Nilpotent singular points and compactons

Applied Mathematics and Computation, 2014
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Aiyong Chen, Wentao Huang, Yongan Xie
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Singular points of the polarization tensor

Solar Physics, 1996
The problem to compute the magnetic field above the chromosphere using data of the vector τ = B t /B t that gives the projected field direction can be solved with different approximations. The field of direction vectors τ is, however, not the only field accessible to observations. The Stokes parameters, which are components of the radiation tensor, can
M. M. Molodensky, L. I. Starkova
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Regular singular points as isomonodromic confluences of Fuchsian singular points

Russian Mathematical Surveys, 2001
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Newton’s Method at Singular Points. II

SIAM Journal on Numerical Analysis, 1980
A theorem due to Reddien giving sufficient conditions for convergence of Newton iterates for singular problems is extended.
Decker, D. W., Kelley, C. T.
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Point Counting on Singular Hypersurfaces

2008
Let q = p r be a prime power. Let Open image in new window be a homogenous polynomial of degree d. Let Open image in new window be the hypersurface defined by Open image in new window . A natural question to ask is how to determine Open image in new window .
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Singular Points and Singular Values of Mappings of Hilbert Manifolds

Journal of Mathematical Sciences, 2004
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Jacquet, S., Sarychev, A.
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Summability Tests for Singular Points

Canadian Mathematical Bulletin, 1972
King [5] devised two tests for determining when z = 1 is a singular point of the function f(z) defined by1having radius of convergence equal to one. The point z = 1 and radius of convergence one may be chosen without loss of generality.
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On the Singular Points in the Problem of Inversion

The Annals of Mathematics, 1932
Nach der Uniformierungstheorie ist es möglich, eine beliebig gegebene Riemannsche Fläche \(G(x, y) = 0\) vom Geschlecht \(p\) in der Form \(x =\varphi(t)\), \(y = \psi(t)\) zu uniformisieren, wo \(\varphi(t)\), \(\psi(t)\) automorphe Funktionen einer Hauptkreisgruppe \(\Gamma\) bezeichnen. Dadurch erhält man für die \(p\) Normalintegrale \(u_\alpha\) \(
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On the equivalence of singular point quantities and the integrability of a fine critical singular point

Nonlinear Analysis: Real World Applications, 2011
The authors give two recursive formulas to obtain the singular quantities to know when a singular point of a complex analytic system with linear part \(z'=z\), \(w'=-w\) is integrable. One is obtained searching for obstructions to have a formal first integral and the other one is obtained searching for conditions to have an integrating factor that does
Zhang, Qi, Liu, Yirong, Chen, Haibo
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Efficient Computation of Singular Points

IMA Journal of Numerical Analysis, 1989
The author tries to reduce the computational work which is necessary for the iterative construction of singular solutions of systems of nonlinear equations. He proposes variants of a Gauss-Newton-type procedure which is based on a representation of a Moore-Penrose pseudoinverse of a matrix of moderate size.
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