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Persistence and Bifurcation of Degenerate Solutions
, 1999
"... We consider a nonlinear equation F(=, *, u)=0, where F is a differentiable mapping from R_R_X to Y and X, Y are Banach spaces. When = varies from a fixed == = 0, bifurcation occurs to the solution curve (*(s), u(s)). We study the degenerate solutions of the equation, and we obtain several bifurcatio ..."
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Cited by 34 (24 self)
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We consider a nonlinear equation F(=, *, u)=0, where F is a differentiable mapping from R_R_X to Y and X, Y are Banach spaces. When = varies from a fixed == = 0, bifurcation occurs to the solution curve (*(s), u(s)). We study the degenerate solutions of the equation, and we obtain several
MONGEAMPÈRE FOLIATIONS FOR DEGENERATE SOLUTIONS
, 906
"... Abstract. We study the problem of the existence and the holomorphicity of the MongeAmpère foliation associated to a plurisubharmonic solutions of the complex homogeneous MongeAmpère equation even at points of arbitrary degeneracy. We obtain good results for real analytic unbounded solutions. As a ..."
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Cited by 2 (2 self)
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Abstract. We study the problem of the existence and the holomorphicity of the MongeAmpère foliation associated to a plurisubharmonic solutions of the complex homogeneous MongeAmpère equation even at points of arbitrary degeneracy. We obtain good results for real analytic unbounded solutions. As a
Superlinear convergence of a stabilized SQP method to a degenerate solution
 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
, 1998
"... We describe a slight modification of the wellknown sequential quadratic programming method for nonlinear programming that attains superlinear convergence to a primaldual solution even when the Jacobian of the active constraints is rank deficient at the solution. We show that rapid convergence occu ..."
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Cited by 54 (7 self)
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We describe a slight modification of the wellknown sequential quadratic programming method for nonlinear programming that attains superlinear convergence to a primaldual solution even when the Jacobian of the active constraints is rank deficient at the solution. We show that rapid convergence
Degenerate solutions of general relativity from topological field theory
 Commun. Math. Phys
, 1998
"... Working in the Palatini formalism, we describe a procedure for constructing degenerate solutions of general relativity on 4manifold M from certain solutions of 2dimensional BF theory on any framed surface Σ embedded in M. In these solutions the cotetrad field e (and thus the metric) vanishes outsi ..."
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Cited by 6 (1 self)
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Working in the Palatini formalism, we describe a procedure for constructing degenerate solutions of general relativity on 4manifold M from certain solutions of 2dimensional BF theory on any framed surface Σ embedded in M. In these solutions the cotetrad field e (and thus the metric) vanishes
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
 Proc. Japan Acad. Ser. A 65
, 1989
"... This paper treats degenerate parabolic equations of second order (1.1) u t + F{Vu, V 2 w) = 0 ..."
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Cited by 360 (15 self)
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This paper treats degenerate parabolic equations of second order (1.1) u t + F{Vu, V 2 w) = 0
An interior point Newtonlike method for nonnegative least squares problems with degenerate solution
 Numer. Linear Algebra Appl
"... Abstract. An interior point approach for medium and large nonnegative linear leastsquares problems is proposed. Global and locally quadratic convergence is shown even if a degenerate solution is approached. Viable approaches for implementation are discussed and numerical results are provided. ..."
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Cited by 16 (0 self)
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Abstract. An interior point approach for medium and large nonnegative linear leastsquares problems is proposed. Global and locally quadratic convergence is shown even if a degenerate solution is approached. Viable approaches for implementation are discussed and numerical results are provided.
Superlinear Convergence Of A Stabilized Sqp Method To A Degenerate Solution
 Computational Optimization and Applications
, 1997
"... . We describe a slight modification of the wellknown sequential quadratic programming method for nonlinear programming that attains superlinear convergence to a primaldual solution even when the Jacobian of the active constraints is rank deficient at the solution. We show that rapid convergence oc ..."
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. We describe a slight modification of the wellknown sequential quadratic programming method for nonlinear programming that attains superlinear convergence to a primaldual solution even when the Jacobian of the active constraints is rank deficient at the solution. We show that rapid convergence
DOI: 10.1007/s1133600210460 INTERPRETING DEGENERATE SOLUTIONS IN UNFOLDING BY USE OF THE VECTOR MODEL AND THE COMPENSATORY DISTANCE MODEL
, 2005
"... catholic university of leuven In this paper, we reconsider the merits of unfolding solutions based on loss functions involving a normalization on the variance per subject. In the literature, solutions based on Stress2 are often diagnosed to be degenerate in the majority of cases. Here, the focus li ..."
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catholic university of leuven In this paper, we reconsider the merits of unfolding solutions based on loss functions involving a normalization on the variance per subject. In the literature, solutions based on Stress2 are often diagnosed to be degenerate in the majority of cases. Here, the focus
Results 1  10
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