Relevant bibliographies by topics / Sylvester's theorem

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Academic literature on the topic 'Sylvester's theorem'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Sylvester's theorem"

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Chen, Tungyang. "A New Look at Sylvester's Theorem in Matrix Theory." Journal of Mechanics 14, no. 4 (1998): 209–15. http://dx.doi.org/10.1017/s172771910000023x.

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ABSTRACTBy diagonalizing a matrix via a similarity transformation, we provide a new and direct proof of Sylvester's theorem in matrix theory. Several known theorems are reconstructed. In some places we offer new connections which are unnoticed in the literature before.
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Wan, Zhe-Xian. "A Generalization of Witt's Theorem and Sylvester's Law of Nullity." Algebra Colloquium 15, no. 02 (2008): 181–84. http://dx.doi.org/10.1142/s1005386708000175.

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Kraft, Jürgen. "Singularity of Monomial Curves in A3 and Gorenstein Monomial Curves in A4." Canadian Journal of Mathematics 37, no. 5 (1985): 872–92. http://dx.doi.org/10.4153/cjm-1985-047-8.

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Let 2 ≦ s ∊ N and {n1, …, ns) ⊆ N*. In 1884, J. Sylvester [13] published the following well-known result on the singularity degree S of the monomial curve whose corresponding semigroup is S: = 〈n1, …, ns): If s = 2, thenLet K: = –Z\S andfor all 1 ≦ i ≦ s. We introduce the invariantof S involving a correction term to the Milnor number 2δ [4] of S. As a modified version and extension of Sylvester's result to all monomial space curves, we prove the following theorem: If s = 3, thenWe prove similar formulas for s = 4 if S is symmetric.
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Burm, Jacqueline, and Paul Fishback. "Period-3 Orbits via Sylvester's Theorem and Resultants." Mathematics Magazine 74, no. 1 (2001): 47. http://dx.doi.org/10.2307/2691153.

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Burm, Jacqueline, and Paul Fishback. "Period-3 Orbits via Sylvester's Theorem and Resultants." Mathematics Magazine 74, no. 1 (2001): 47–51. http://dx.doi.org/10.1080/0025570x.2001.11953032.

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Perov, A. I., and I. D. Kostrub. "The Vandermonde matrix in the commutative case." Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ 517, no. 1 (2024): 33–37. http://dx.doi.org/10.31857/s2686954324030057.

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In complex Banach algebra, under the condition of separateness and spectral separateness, the conditions for the reversibility of the Vandermonde matrix are formulated and proved. The necessary and sufficient signs of reversibility of the Vandermonde matrix are given. Analogs of Sylvester's theorem are formulated.
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Laishram, Shanta, Sudhir Singh Ngairangbam, and Ranjit Singh Maibam. "Yet another generalization of Sylvester's theorem and its application." Publicationes Mathematicae Debrecen 95, no. 1-2 (2019): 1–17. http://dx.doi.org/10.5486/pmd.2019.8217.

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Tuan, Tran Thanh, and Tran Ngoc Trung. "The dispersion of Rayleigh waves in orthotropic layered half-space using matrix method." Vietnam Journal of Mechanics 38, no. 1 (2016): 27–38. http://dx.doi.org/10.15625/0866-7136/38/1/6191.

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In this paper, the secular equation of Rayleigh surface waves propagating in an orthotropic layered half-space is derived by the matrix method. All the layers and the half-space are assumed to have identical principle axes. The explicit form of the matrizant for each layer is obtained by the Sylvester's theorem. The derived secular equation takes only real values and depends only on the dimensionless variables and dimensionless material parameters. Hence, it is convenient in numerical calculation.
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Dennis, M. R. "Canonical representation of spherical functions: Sylvester's theorem, Maxwell's multipoles and Majorana's sphere." Journal of Physics A: Mathematical and General 37, no. 40 (2004): 9487–500. http://dx.doi.org/10.1088/0305-4470/37/40/011.

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Akritas, Alkiviadis, Gennadi Malaschonok, and Panagiotis Vigklas. "Sturm Sequences and Modified Subresultant Polynomial Remainder Sequences." Serdica Journal of Computing 8, no. 1 (2015): 29–46. http://dx.doi.org/10.55630/sjc.2014.8.29-46.

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In 1971 using pseudo-divisions - that is, by working in Z[x] - Brown and Traub computed Euclid’s polynomial remainder sequences (prs’s) and (proper) subresultant prs’s using sylvester1, the most widely known form of Sylvester’s matrix, whose determinant defines the resultant of two polynomials. In this paper we use, for the first time in the literature, the Pell-Gordon Theorem of 1917, and sylvester2, a little known form of Sylvester’s matrix of 1853 to initially compute Sturm sequences in Z[x] without pseudodivisions - that is, by working in Q[x]. We then extend our work in Q[x] and, despite
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Dissertations / Theses on the topic "Sylvester's theorem"

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Hanchin, Terence G. "On Sylvester's theorem." [Kent, Ohio] : Kent State University, 2010. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=kent1272312534.

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Thesis (Ph.D.)--Kent State University, 2010.<br>Title from PDF t.p. (viewed May 26, 2010). Advisor: Dr. Alfred Cavaretta. Keywords: variation diminishing; convolution; de la vallee poussin. Includes bibliographical references (p.61).
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Silva, Eduardo Alves da. "Formas ponderadas do Teorema de Euler e partições com raiz : estabelecendo um tratamento combinatório para certas identidades de Ramanujan." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2018. http://hdl.handle.net/10183/183163.

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O artigo Weighted forms of Euler's theorem de William Y.C. Chen e Kathy Q. Ji, em resposta ao questionamento de George E. Andrews, matemático estadunidense, sobre encontrar demonstrações combinatórias de duas identidades no Caderno Perdido de Ramanujan, nos mostra algumas formas ponderadas do Teorema de Euler sobre partições com partes ímpares e partes distintas via a introdução do conceito de partição com raiz. A propositura deste trabalho é envolta à apresentação de resultados sobre partições com raiz de modo a posteriormente realizar formulações combinatórias das identidades de Ramanujan po
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Grammont, Laurence. "Analyse numérique des équations de Sylvester généralisées." Saint-Etienne, 1994. http://www.theses.fr/1994STET4011.

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Cette thèse contient une étude de l'analyse numérique des équations de Sylvester généralisées. Nous avons abordé les questions d'existence, d'unicité et d'expressions explicites de la solution de l'équation de Sylvester généralisée dans le contexte de la théorie spectrale. Nous avons ainsi construit une expression explicite de la solution et donné une hypothèse d'existence en termes d'éléments spectraux des matrices A et B qui définissent l'opérateur de Sylvester. Nous avons étudié la sensibilité de la solution de l'équation de Sylvester dans le cadre de la théorie des perturbations linéaires
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Maakestad, Helge. "Principal Parts on P^1 and Chow-groups of the classical discriminants." Doctoral thesis, KTH, Mathematics, 2000. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3022.

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Mansour, Ali. "Contribution à la séparation aveugle de sources." Grenoble INPG, 1997. http://www.theses.fr/1997INPG0012.

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Le probleme de separation de sources est un probleme relativement recent en traitement du signal, qui consiste a separer des sources, statistiquement independantes, observees par un reseau de capteurs. Dans cette these, plusieurs approches ont ete etudiees : deux approches directes, valables uniquement pour le melange lineaire instantane, ont ete proposees. La premiere, analytique, est basee sur les statistiques de signaux observes, l'autre geometrique, est basee sur les distributions de ces signaux, dont la densite de probabilite est supposee a support borne. Pour les signaux de meme signe de
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Sadek, El Mostafa. "Méthodes itératives pour la résolution d'équations matricielles." Thesis, Littoral, 2015. http://www.theses.fr/2015DUNK0434/document.

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Nous nous intéressons dans cette thèse, à l’étude des méthodes itératives pour la résolutiond’équations matricielles de grande taille : Lyapunov, Sylvester, Riccati et Riccatinon symétrique.L’objectif est de chercher des méthodes itératives plus efficaces et plus rapides pour résoudreles équations matricielles de grande taille. Nous proposons des méthodes itérativesde type projection sur des sous espaces de Krylov par blocs Km(A, V ) = Image{V,AV, . . . ,Am−1V }, ou des sous espaces de Krylov étendus par blocs Kem(A, V ) = Image{V,A−1V,AV,A−2V,A2V, · · · ,Am−1V,A−m+1V } . Ces méthodes sont gén
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Νταργαράς, Κωνσταντίνος. "Το θεώρημα Tarski-Seidenberg : συνέπειες και μία διδακτική έρευνα στη θεωρία πολυωνύμων με πραγματικούς συντελεστές". Thesis, 2014. http://hdl.handle.net/10889/8216.

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To αντικείμενο μελέτης της εργασίας αυτής είναι κατά μείζονα λόγο το θεώρημα Tarski-Seidenberg. Στο πρώτο κεφάλαιο μελετάμε το κίνητρο που ώθησε τον Tarski σε αυτή την έρευνα, εξιστορούμε την πορεία της ιδέας του από την ανακάλυψη μέχρι τη δημοσίευση και έπειτα προσπαθούμε να σκιαγραφήσουμε ευκρινώς τη συνολική επίδραση του θεωρήματος στα μαθηματικά και όχι μόνο. Για την ακρίβεια, αναφερόμαστε στην πληρότητα της Ευκλείδειας γεωμετρίας ως συνέπεια του θεωρήματος, στη συμβολή του θεωρήματος στην ανάπτυξη της ημιαλγεβρικής γεωμετρίας. Στο δεύτερο κεφάλαιο αποδικνύεται το εν λόγω θεώρημα, δηλαδή ό
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Books on the topic "Sylvester's theorem"

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Imre, Téglásy. A nyelv- és irodalomelmélet kezdetei Magyarországon: (Sylvester Jánostól Zsámboky Jánosig). Akadémiai Kiadó, 1988.

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Generalized Sylvester Equations: Unified Parametric Solutions. Taylor & Francis Group, 2015.

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Duan, Guang-Ren. Generalized Sylvester Equations: Unified Parametric Solutions. Taylor & Francis Group, 2015.

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Duan, Guang-Ren. Generalized Sylvester Equations: Unified Parametric Solutions. Taylor & Francis Group, 2015.

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Book chapters on the topic "Sylvester's theorem"

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Natarajan, Saradha. "Theorem of Sylvester-Extensions and Refinements." In Infosys Science Foundation Series. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-96-2599-4_3.

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Sinha, Rajnikant. "Sylvester’s Law of Inertia." In Galois Theory and Advanced Linear Algebra. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-9849-0_4.

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Mortad, Mohammed Hichem. "The Sylvester Equation." In Counterexamples in Operator Theory. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-97814-3_16.

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Dijkstra, Edsger W. "A computing scientist’s approach to a once-deep theorem of Sylvester’s." In Constructive Methods in Computing Science. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-74884-4_7.

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Nathanson, Melvyn B. "Trapezoidal Numbers, Divisor Functions, and a Partition Theorem of Sylvester." In Analytic Number Theory, Modular Forms and q-Hypergeometric Series. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-68376-8_31.

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Bolotnikov, Vladimir. "On the Sylvester Equation over Quaternions." In Noncommutative Analysis, Operator Theory and Applications. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-29116-1_3.

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Jury, Eliahu I. "From J.J. Sylvester to Adolf Hurwitz: A Historical Review." In Stability Theory. Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-9208-7_7.

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Ito, Masahiko, and Soichi Okada. "An Application of Cauchy–Sylvester’s Theorem on Compound Determinants to a BC n -Type Jackson Integral." In Partitions, q-Series, and Modular Forms. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-0028-8_10.

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Paunonen, Lassi. "The Infinite-dimensional Sylvester Differential Equation and Periodic Output Regulation." In Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0297-0_31.

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Li, Ziyu, Haifeng Sang, and Ying Zhao. "Fast Algorithms for Verifying Centrosymmetric Solutions of Sylvester Matrix Equations." In Bio-inspired Computing – Theories and Applications. Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-3614-9_65.

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Conference papers on the topic "Sylvester's theorem"

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Dhingra, A. K., A. N. Almadi, and D. Kohli. "A Gröbner-Sylvester Hybrid Method for Closed-Form Displacement Analysis of Mechanisms." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/mech-5969.

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Abstract The displacement analysis problem for planar and spatial mechanisms can be written as a system of multivariate polynomial equations. Elimination theory based on resultants and polynomial continuation are some of the methods which have been used to solve this problem. This paper presents a new approach to displacement analysis using the reduced Gröbner basis form of a system of equations under degree lexicographic (dlex) term ordering of its monomials and Sylvester’s Dialytic elimination method. Using the Gröbner-Sylvester hybrid approach, a finitely solvable system of equations F is t
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Oliveira, Rafael, and Akash Kumar Sengupta. "Radical Sylvester-Gallai Theorem for Cubics." In 2022 IEEE 63rd Annual Symposium on Foundations of Computer Science (FOCS). IEEE, 2022. http://dx.doi.org/10.1109/focs54457.2022.00027.

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Shpilka, Amir. "Sylvester-Gallai type theorems for quadratic polynomials." In STOC '19: 51st Annual ACM SIGACT Symposium on the Theory of Computing. ACM, 2019. http://dx.doi.org/10.1145/3313276.3316341.

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"The Sylvester problem and uniqueness theorems for entire functions." In Уфимская осенняя математическая школа - 2022. Т.1. Baskir State University, 2022. http://dx.doi.org/10.33184/mnkuomsh1t-2022-09-28.36.

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Oliveira, Rafael, and Akash Kumar Sengupta. "Strong Algebras and Radical Sylvester-Gallai Configurations." In STOC '24: 56th Annual ACM Symposium on Theory of Computing. ACM, 2024. http://dx.doi.org/10.1145/3618260.3649617.

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Kutsenko, Alexander Vladimirovich. "New constructions and lower bound of number of self-dual bent functions." In Academician O.B. Lupanov 14th International Scientific Seminar "Discrete Mathematics and Its Applications". Keldysh Institute of Applied Mathematics, 2022. http://dx.doi.org/10.20948/dms-2022-85.

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The paper considers maximally non-linear Boolean functions of even number of variables - bent functions. These functions have a number applications in coding theory and cryptography. For each bent function, the dual to it bent functions. A bent function is called self-dual if it coincides with its dual. Characteristic vectors of self-dual bent functions are eigenvectors of the matrix Sylvester-Hadamard, which has applications in combinatorics, theory signals and quantum computing. The paper proposes a number of new iterative constructions of self-dual bent functions of n variables, in within w
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Almadi, Abdulaziz N., Anoop K. Dhingra, and Dilip Kohli. "A Framework for Closed-Form Displacement Analysis of Planar Mechanisms." In ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-detc/mech-1205.

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Abstract This paper presents a closed-form approach, based on theory of resultants, to the displacement analysis problem for n-link planar mechanisms. The proposed approach, called the method of successive elimination, generalizes Sylvester’s dialitic eliminant to the case when m equations (m ≥ 3) are to be solved in m unknowns. Conditions under which the method of successive elimination can be used to reduce m equations (in m unknowns) into a univariate polynomial, devoid of spurious roots, are presented. This univariate polynomial corresponds to the 1/0 polynomial of the mechanism. A compreh
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Franco, Guillermo, Jun Yu, and Raimondo Betti. "Uniqueness of Solutions for the Identification of Linear Reduced Order Structural Systems." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-61193.

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The problem of identification of structural systems is an inverse problem that uses input (say force excitation) and output information (accelerations, for instance) to obtain an optimal model to describe the system’s behavior. Since a full instrumentation setup is expensive, situations usually arise where only partial measurements are available. Uniqueness of the solution in these circumstances might not be guaranteed. This paper analyzes the minimum number of measurements required to ensure that only one solution exists for the identification problem of mass, damping and stiffness distributi
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Khettabi, Ali, and Ilyas Antraoui. "Study of a finite network of one-dimensional periodic expansion chambers by the transfer matrix method and Sylvester theorem." In 2ND INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, ICAM’2018. Author(s), 2019. http://dx.doi.org/10.1063/1.5090620.

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