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Myong-Hi Kim

dblp:82/2809 · DBLP profile ↗
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4ranked-venue papers
2as first author
0since 2021 · last 2002
—ORCID · none

Domains — the database's venue-derived domains; a paper can count in several

Theory of computation · 4 · 2 first-author

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Theoretical computer science
1 paper
Algorithms and data structures · 46% Computational complexity · 46% Computational geometry · 7%

Topics — the 4 heaviest of 5, each with the papers that count most for it

TopicWeightPapersLastEvidence papers
Computational complexity
algebraic complexity
0.011994
Polynomial Root-Finding Algorithms and Branched Covers · SIAM J. Comput. 1994
Computational complexity
lower bounds
0.011994
Polynomial Root-Finding Algorithms and Branched Covers · SIAM J. Comput. 1994
Algorithms and data structures
numerical algorithms
0.011994
Polynomial Root-Finding Algorithms and Branched Covers · SIAM J. Comput. 1994
Algorithms and data structures › symbolic computation › computational algebra › polynomial evaluation
polynomial root finding
0.011994
Polynomial Root-Finding Algorithms and Branched Covers · SIAM J. Comput. 1994

Methods — techniques the papers use, named apart from their topics

path-lifting · 0.0branched covering · 0.0
YearPublicationVenuePosition
2002 Newton's Method for Analytic Systems of Equations with Constant Rank Derivatives
Jean-Pierre Dedieu, Myong-Hi Kim
J. Complex.2
1996 On Isolation of Real and Nearly Real Zeros of a Univariate Polynomial and Its Splitting into Factors
Victor Y. Pan, Myong-Hi Kim, Akimou Sadikou, Xiaohan Huang 0001, Ailong Zheng
J. Complex.2
1994 Polynomial Root-Finding Algorithms and Branched Covers
abstract
A family of root-finding algorithms is constructed that combines knowledge of the branched covering structure of a polynomial with a path-lifting algorithm for finding individual roots. In particular, the family includes an algorithm that computes an $ \epsilon $-factorization of a polynomial of degree d that has an arithmetic complexity of $\mathcal{O}(d(\log d)^2 |\log \epsilon | + d^2 (\log d)^2 )$. At the present time, this complexity is the best known in terms of the degree.
Myong-Hi Kim, Scott Sutherland
SIAM J. Comput.1
1989 Topological complexity of a root finding algorithm
Myong-Hi Kim
J. Complex.1