Relevant bibliographies by topics / Tropical Polynomials

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Tropical Polynomials'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Tropical Polynomials.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Tropical Polynomials"

1

Grigoriev, Dima, and Gleb Koshevoy. "Complexity of tropical Schur polynomials." Journal of Symbolic Computation 74 (May 2016): 46–54. http://dx.doi.org/10.1016/j.jsc.2015.05.005.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Kubo, Susumu. "Basic r-symmetric tropical polynomials." Journal of Pure and Applied Algebra 223, no. 1 (2019): 72–85. http://dx.doi.org/10.1016/j.jpaa.2018.03.002.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Arzhakova, Elizaveta, and Evgeny Verbitskiy. "Tropical Limits of Decimated Polynomials." Arnold Mathematical Journal 5, no. 1 (2019): 57–67. http://dx.doi.org/10.1007/s40598-019-00108-9.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Esterov, A. "Tropical Varieties with Polynomial Weights and Corner Loci of Piecewise Polynomials." Moscow Mathematical Journal 12, no. 1 (2012): 55–76. http://dx.doi.org/10.17323/1609-4514-2012-12-1-55-76.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Kališnik, Sara, and Davorin Lešnik. "Symmetric polynomials in tropical algebra semirings." Journal of Symbolic Computation 93 (July 2019): 100–119. http://dx.doi.org/10.1016/j.jsc.2018.04.008.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Grigoriev, Dima, and Vladimir V. Podolskii. "Tropical Combinatorial Nullstellensatz and Sparse Polynomials." Foundations of Computational Mathematics 20, no. 4 (2019): 753–81. http://dx.doi.org/10.1007/s10208-019-09431-1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Agudelo, Alexander, and Oliver Lorscheid. "Factorizations of tropical and sign polynomials." Indagationes Mathematicae 32, no. 4 (2021): 797–812. http://dx.doi.org/10.1016/j.indag.2021.04.005.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

IZHAKIAN, ZUR, and LOUIS ROWEN. "COMPLETIONS, REVERSALS, AND DUALITY FOR TROPICAL VARIETIES." Journal of Algebra and Its Applications 10, no. 06 (2011): 1141–63. http://dx.doi.org/10.1142/s0219498811005117.

Full text
Abstract:
The object of this paper is to present two algebraic results with straightforward proofs, which have interesting consequences in tropical geometry. We start with an identity for polynomials over the max-plus algebra, which shows that any polynomial divides a product of binomials. Interpreted in tropical geometry, any tropical variety W can be completed to a union of tropical primitives, i.e. single-face polyhedral complexes. In certain situations, a tropical variety W has a "reversal" variety, which together with W already yields the union of primitives; this phenomenon is explained in terms o
APA, Harvard, Vancouver, ISO, and other styles
9

Shitov, Yaroslav. "How many Boolean polynomials are irreducible?" International Journal of Algebra and Computation 24, no. 08 (2014): 1183–89. http://dx.doi.org/10.1142/s0218196714500520.

Full text
Abstract:
We present a number of new results on the multiplicative structure of univariate polynomials over the Boolean and tropical semirings. We answer the question asked by Kim and Roush in 2005 by proving that almost all Boolean polynomials with nonzero constant term are irreducible. We also give a lower bound for the number of reducible polynomials, and we discuss the related issues for polynomials over tropical semiring.
APA, Harvard, Vancouver, ISO, and other styles
10

Francois, Georges. "Cocycles on tropical varieties via piecewise polynomials." Proceedings of the American Mathematical Society 141, no. 2 (2012): 481–97. http://dx.doi.org/10.1090/s0002-9939-2012-11359-0.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Dissertations / Theses on the topic "Tropical Polynomials"

1

Hoyt, Christopher. "On the Landscape of Random Tropical Polynomials." Scholarship @ Claremont, 2018. https://scholarship.claremont.edu/hmc_theses/114.

Full text
Abstract:
Tropical polynomials are similar to classical polynomials, however addition and multiplication are replaced with tropical addition (minimums) and tropical multiplication (addition). Within this new construction, polynomials become piecewise linear curves with interesting behavior. All tropical polynomials are piecewise linear curves, and each linear component uniquely corresponds to a particular monomial. In addition, certain monomial in the tropical polynomial can be trivial due to the fact that tropical addition is the minimum operator. Therefore, it makes sense to consider a graph of connec
APA, Harvard, Vancouver, ISO, and other styles
2

Forsgård, Jens. "Tropical aspects of real polynomials and hypergeometric functions." Doctoral thesis, Stockholms universitet, Matematiska institutionen, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-116358.

Full text
Abstract:
The present thesis has three main topics: geometry of coamoebas, hypergeometric functions, and geometry of zeros. First, we study the coamoeba of a Laurent polynomial f in n complex variables. We define a simpler object, which we call the lopsided coamoeba, and associate to the lopsided coamoeba an order map. That is, we give a bijection between the set of connected components of the complement of the closed lopsided coamoeba and a finite set presented as the intersection of an affine lattice and a certain zonotope. Using the order map, we then study the topology of the coamoeba. In particular
APA, Harvard, Vancouver, ISO, and other styles
3

El, Hilany Boulos. "Géométrie tropicale et systèmes polynomiaux." Thesis, Université Grenoble Alpes (ComUE), 2016. http://www.theses.fr/2016GREAM037/document.

Full text
Abstract:
Les systèmes polynomiaux réels sont omniprésents dans de nombreux domaines des mathématiques pures et appliquées. A. Khovanskii a fourni une borne fewnomiale supérieure sur le nombre de solutions positives non-dégénérées d'un système polynomial réel de n équations à n variables qui ne dépend que du nombre de monômes apparaissant dans les équations. Cette dernière borne a été récemment améliorée par F. Bihan et F. Sottile, mais la borne résultante peut être encore améliorée, même dans certains cas simples.Le but de ce travail est d'aborder trois problèmes importants dans la théorie des Fewnomia
APA, Harvard, Vancouver, ISO, and other styles
4

Haiech, Mercedes. "Étude algébrique des systèmes d'équations différentielles polynomiales d'ordre arbitraire." Thesis, Rennes 1, 2020. http://www.theses.fr/2020REN1S035.

Full text
Abstract:
Dans cette thèse, plusieurs axes d'études dont le dénominateur commun est l'algèbre différentielle ont été suivis pour mettre en lumière certaines propriétés algébriques des systèmes d'équations différentielles. Dans une partie nous nous sommes interessée à la surdétermination des systèmes d'équations différentielles linéaires ordinaires et avons produit un algorithme permettant de trouver les générateurs d'un tel système.Une autre partie se penche sur la compréhension du support de solutions d'équations différentielles partielles à l'aide d'outils issus de la géométrie tropicale. Dans une tro
APA, Harvard, Vancouver, ISO, and other styles
5

Rumantir, Grace Widjaja. "Minimum message length criterion for second-order polynomial model selection applied to tropical cyclone intensity forecasting." Monash University, School of Computer Science and Software Engineering, 2003. http://arrow.monash.edu.au/hdl/1959.1/5813.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Sharify, Meisam. "Algorithmes de mise à l'échelle et méthodes tropicales en analyse numérique matricielle." Phd thesis, Ecole Polytechnique X, 2011. http://pastel.archives-ouvertes.fr/pastel-00643836.

Full text
Abstract:
L'Algèbre tropicale peut être considérée comme un domaine relativement nouveau en mathématiques. Elle apparait dans plusieurs domaines telles que l'optimisation, la synchronisation de la production et du transport, les systèmes à événements discrets, le contrôle optimal, la recherche opérationnelle, etc. La première partie de ce manuscrit est consacrée a l'étude des applications de l'algèbre tropicale à l'analyse numérique matricielle. Nous considérons tout d'abord le problème classique de l'estimation des racines d'un polynôme univarié. Nous prouvons plusieurs nouvelles bornes pour la valeur
APA, Harvard, Vancouver, ISO, and other styles
7

林如苹. "Largest-coefficient Tropical Polynomials and Their Applications." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/03598916466954396617.

Full text
Abstract:
碩士<br>國立政治大學<br>應用數學研究所<br>97<br>Tropical geometry draw much attention recent years for it simplifies many difficult classical mathematics problems. The thesis mainly discuss factorization of single variable tropical polynomials. For every tropical polynomial, we define the corresponding largest-coefficient tropical polynomial. We show that each largest-coefficient tropical polynomial can be factorized into a product of linear terms. As a result, the Fundamental Theorem of Tropical Algebra holds. Furthermore, we observe that many notions of factorization of single variable tropical polynomial
APA, Harvard, Vancouver, ISO, and other styles
8

Sen, Aritra. "Module Grobner Bases Over Fields With Valuation." Thesis, 2015. http://etd.iisc.ernet.in/handle/2005/2644.

Full text
Abstract:
Tropical geometry is an area of mathematics that interfaces algebraic geometry and combinatorics. The main object of study in tropical geometry is the tropical variety, which is the combinatorial counterpart of a classical variety. A classical variety is converted into a tropical variety by a process called tropicalization, thus reducing the problems of algebraic geometry to problems of combinatorics. This new tropical variety encodes several useful information about the original variety, for example an algebraic variety and its tropical counterpart have the same dimension. In this thesis, we
APA, Harvard, Vancouver, ISO, and other styles
9

Kirsten, Daniel. "A Burnside Approach to the Termination of Mohri’s Algorithm for Polynomially Ambiguous Min-Plus-Automata." 2008. https://ul.qucosa.de/id/qucosa%3A33091.

Full text
Abstract:
We show that the termination of Mohri's algorithm is decidable for polynomially ambiguous weighted finite automata over the tropical semiring which gives a partial answer to a question by Mohri [29]. The proof relies on an improvement of the notion of the twins property and a Burnside type characterization for the finiteness of the set of states produced by Mohri's algorithm.
APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Tropical Polynomials"

1

1962-, Sturmfels Bernd, ed. Introduction to tropical geometry. American Mathematical Society, 2015.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

1957-, Gurvits Leonid, and Banff International Research Station for Mathematics Innovation & Discovery, eds. Randomization, relaxation, and complexity in polynomial equation solving: Banff International Research Station Workshop on Randomization, Relaxation, and Complexity, February 28--March 5, 2010, Banff, Ontario [i.e. Alberta], Canada. American Mathematical Society, 2011.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

Algebraic And Combinatorial Aspects Of Tropical Geometry Ciem Workshop On Tropical Geometry December 1216 2011 International Center For Mathematical Meetings Castro Urdiales Spain. American Mathematical Society, 2013.

Find full text
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Tropical Polynomials"

1

Grigoriev, Dima. "Tropical Newton–Puiseux Polynomials." In Developments in Language Theory. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-99639-4_12.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Gaubert, Stéphane, and Meisam Sharify. "Tropical Scaling of Polynomial Matrices." In Positive Systems. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-02894-6_28.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Grigoriev, Dima. "Polynomial Complexity Recognizing a Tropical Linear Variety." In Computer Algebra in Scientific Computing. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-24021-3_11.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Allamigeon, Xavier, Pascal Benchimol, and Stéphane Gaubert. "The Tropical Shadow-Vertex Algorithm Solves Mean Payoff Games in Polynomial Time on Average." In Automata, Languages, and Programming. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-43948-7_8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Allamigeon, Xavier, Vianney Bœuf, and Stéphane Gaubert. "Performance Evaluation of an Emergency Call Center: Tropical Polynomial Systems Applied to Timed Petri Nets." In Lecture Notes in Computer Science. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22975-1_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Rumantir, Grace W., and Chris S. Wallace. "Minimum Message Length Criterion for Second-Order Polynomial Model Selection Applied to Tropical Cyclone Intensity Forecasting." In Advances in Intelligent Data Analysis V. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-45231-7_45.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

"Tropical polynomials, rationals and exponentials." In Tropical Value Distribution Theory and Ultra-Discrete Equations. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814632805_0001.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

"Tropical algebraic geometry." In Solving Systems of Polynomial Equations. American Mathematical Society, 2002. http://dx.doi.org/10.1090/cbms/097/09.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Tropical Polynomials"

1

Praene, Jean Philippe, Franc¸ois Garde, and Franck Lucas. "Steady State Model of a Solar Evacuated Tube Collector Based on Sensitivity Analysis." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-82188.

Full text
Abstract:
This work deals with first modelling the dynamical behavior of the solar collector under natural tropical humid conditions. In a second part, this paper proposes a sensitivity analysis which lays on fast method. This analysis is very interesting as it allows pointing out the most influential factors. Finally, it is shown that the output of the model could be approach by polynomial of regression called “me´tamode`le”. This approximation constitutes a local approximation of the output of the solar collector, working under steady state conditions.
APA, Harvard, Vancouver, ISO, and other styles
2

Wijaya, Goldy Tanjung, and I. Gde Dharma Nugraha. "Prediction system of chicken meat expiration time based on polynomial regression using NodeMCU ESP8266 and MQ137 sensor." In THE 5TH INTERNATIONAL TROPICAL RENEWABLE ENERGY CONFERENCE (THE 5TH iTREC). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0064986.

Full text
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography