专题：Polynomial and algebraic computation

This cluster of papers covers topics in symbolic computing, including efficient algorithms for solving polynomial systems, Gröbner bases computation, tropical geometry, and applications in cryptography such as cryptanalysis of various cryptosystems. It also explores numerical methods for algebraic geometry and the use of max-plus algebra in certain computational problems.
最新文献
The Coherence Thread: Why the Rank of an Elliptic Curve Equals the Vanishing Order of Its L-Function

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The Quintic Compiler: How the Universe Turns Equations into Topology

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Spectral Mean Flow and Variance Dynamics of Completely Monotone Functions

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Exponential Multiplication: A Mathematical Synthesis

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A Neuro-Symbolic Architecture for Open-Ended Mathematical Discovery: The Localization Principle as Meta-Generator of Anomaly Cancellation in E8 Geometric Knowledge Synthesis

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A δ-Functional Riccati–Barrier Interface for Finite-Horizon Regularity Certificates (v3.8)

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Métrica de Complejidad Algorítmica y Obstrucción Topológica: La Invarianza del Gap Espectral en la Separación P vs NP

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Preservation of log-concavity on gamma polynomials

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GRMPIA: a new algorithm for computing the Hermite matrix interpolation polynomials

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Computing the Polytope Diameter is Even Harder than NP-hard (Already for Perfect Matchings)

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近5年高被引文献
Introduction to Algorithms

book-chapter Full Text OpenAlex 1628 FWCI400.9219

Introduction to Singularities and Deformations

book Full Text OpenAlex 212 FWCI3.439

Computational Mathematics

book Full Text OpenAlex 191 FWCI1.5918

Breaking Rainbow Takes a Weekend on a Laptop

book-chapter Full Text OpenAlex 151 FWCI96.2531

Mixed precision algorithms in numerical linear algebra

article Full Text OpenAlex 114 FWCI15.6269

Integration of Algebraic Functions

book-chapter Full Text OpenAlex 75 FWCI6.6685

Computing Method for Combinatorial Geometric Series and Binomial Expansion

article Full Text OpenAlex 72 FWCI0

Differential Elimination for Dynamical Models via Projections with Applications to Structural Identifiability

article Full Text OpenAlex 71 FWCI13.9262

An Introduction to Linear Algebra

book Full Text OpenAlex 63 FWCI12.1022

Note On a Short-Cut Method for Calculating Distributed Lags

book-chapter Full Text OpenAlex 60 FWCI10.7216