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SIAM Review
Article
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zbMATH Open
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SIAM Review
Article . 1992 . Peer-reviewed
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https://dx.doi.org/10.7916/d89...
Other literature type . 1990
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Complexity of Computations with Matrices and Polynomials

Complexity of computations with matrices and polynomials
Authors: Pan, Victor;

Complexity of Computations with Matrices and Polynomials

Abstract

We review the complexity of polynomial and matrix computations, as well as their various correlations to each other and some major techniques for the design of algebraic and numerical algorithms.

Keywords

Analysis of algorithms and problem complexity, Other matrix algorithms, residue arithmetic, Symbolic computation and algebraic computation, Matrices--Computer programs, Computer science, 004, 510, binary segmentations, Computation of special functions and constants, construction of tables, Complexity and performance of numerical algorithms, Polynomials--Computer programs, arithmetic complexity, compact multigrid algorithm, Computational aspects of field theory and polynomials, fixed and variable precision computations, polynomial computations, complexity estimates, matrix computations, polynomial division, Algorithms

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    61
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
61
Top 10%
Top 1%
Top 10%
Green
bronze