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Rudiments of an average case complexity theory for piecewise-linear path following algorithms

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01580679openalex-snapshot
On triangulations for computing fixed points
inferredcites →https://doi.org/10.1007/bf01582051openalex-snapshot
On the complexity of a piecewise linear algorithm for approximating roots of complex polynomials
inferredcites →https://doi.org/10.1007/bf01582052openalex-snapshot
On the cost of approximating all roots of a complex polynomial
inferredcites →https://doi.org/10.1007/bf01585104openalex-snapshot
On the computational complexity of piecewise-linear homotopy algorithms
inferredcites →https://doi.org/10.1007/bf02612355openalex-snapshot
On the cost of computing roots of polynomials
inferredcites →https://doi.org/10.1007/bf02612356openalex-snapshot
Computational complexity of a piecewise linear homotopy algorithm
inferredcites →https://doi.org/10.1017/cbo9780511617331openalex-snapshot
Integral Geometry and Geometric Probability
inferredcites →https://doi.org/10.1017/cbo9780511617331.004openalex-snapshot
Integral Geometry and Geometric Probability
inferredcites →https://doi.org/10.1287/moor.12.1.121openalex-snapshot
On the Efficiency of Newton's Method in Approximating All Zeros of a System of Complex Polynomials
inferredcites →https://doi.org/10.1287/moor.9.3.363openalex-snapshot
Equivalence of Surface Density and Average Directional Density

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-1-4419-7997-1_79openalex-snapshot
Simplicial Methods for Approximating Fixed Point with Applications in Combinatorial Optimizations
inferred← citeshttps://doi.org/10.1007/978-3-642-61257-2openalex-snapshot
Numerical Continuation Methods
inferred← citeshttps://doi.org/10.1007/978-3-662-02851-3_6openalex-snapshot
Nonconvex Optimization and Its Structural Frontiers
inferred← citeshttps://doi.org/10.1007/bf01582154openalex-snapshot
A class of “onto” multifunctions
inferred← citeshttps://doi.org/10.1007/bf02055198openalex-snapshot
On parametric nonlinear programming
inferred← citeshttps://doi.org/10.1016/0885-064x(89)90017-4openalex-snapshot
Exponential lower bounds for finding Brouwer fix points
inferred← citeshttps://doi.org/10.1016/s1570-8659(97)80002-6openalex-snapshot
Numerical path following
inferred← citeshttps://doi.org/10.1017/s0962492900002336openalex-snapshot
Continuation and path following
inferred← citeshttps://doi.org/10.1109/icca.2009.5410219openalex-snapshot
A homotopy-like simplicial method for approximating fixed points of an increasing mapping from Rn+ into itself
inferred← citeshttps://doi.org/10.1109/ieem.2010.5674387openalex-snapshot
Computing fixed points of an increasing mapping from a finite lattice formed by integer points of a box into itself
inferred← citeshttps://doi.org/10.1109/sfcs.1987.24openalex-snapshot
Exponential lower bounds for finding Brouwer fixed points
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