Relevant bibliographies by topics / Vandermonde determinant

Contents

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

Academic literature on the topic 'Vandermonde determinant'

Author: Grafiati
Published: 24 April 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 'Vandermonde determinant.'

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 "Vandermonde determinant"

1

Yaici, Malika, and Kamel Hariche. "A particular block Vandermonde matrix." ITM Web of Conferences 24 (2019): 01008. http://dx.doi.org/10.1051/itmconf/20192401008.

Full text
Abstract:
The Vandermonde matrix is ubiquitous in mathematics and engineering. Both the Vandermonde matrix and its inverse are often encountered in control theory, in the derivation of numerical formulas, and in systems theory. In some cases block vandermonde matrices are used. Block Vandermonde matrices, considered in this paper, are constructed from a full set of solvents of a corresponding matrix polynomial. These solvents represent block poles and block zeros of a linear multivariable dynamical time-invariant system described in matrix fractions. Control techniques of such systems deal with the inverse or determinant of block vandermonde matrices. Methods to compute the inverse of a block vandermonde matrix have not been studied but the inversion of block matrices (or partitioned matrices) is very well studied. In this paper, properties of these matrices and iterative algorithms to compute the determinant and the inverse of a block Vandermonde matrix are given. A parallelization of these algorithms is also presented. The proposed algorithms are validated by a comparison based on algorithmic complexity.
APA, Harvard, Vancouver, ISO, and other styles
2

Xu, Junqin, and Likuan Zhao. "An application of the Vandermonde determinant." International Journal of Mathematical Education in Science and Technology 37, no. 2 (March 15, 2006): 229–31. http://dx.doi.org/10.1080/00207390500226093.

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

Lomidze, I. "On Some Generalizations of the Vandermonde Matrix and Their Relations with the Euler Beta-Function." gmj 1, no. 4 (August 1994): 405–17. http://dx.doi.org/10.1515/gmj.1994.405.

Full text
Abstract:
Abstract A multiple Vandermonde matrix which, besides the powers of variables, also contains their derivatives is introduced and an explicit expression of its determinant is obtained. For the case of arbitrary real powers, when the variables are positive, it is proved that such generalized multiple Vandermonde matrix is positive definite for appropriate enumerations of rows and columns. As an application of these results, some relations are obtained which in the one-dimensional case give the well-known formula for the Euler beta-function.
APA, Harvard, Vancouver, ISO, and other styles
4

Mpimbo, Marco. "On the Convergence of Orbits in Sequence Space l^2." Tanzania Journal of Science 47, no. 3 (August 15, 2021): 1174–83. http://dx.doi.org/10.4314/tjs.v47i3.26.

Full text
Abstract:
This paper discusses the convergence of orbits for diagonal operators defined on . In particular, the basis elements of are obtained using the linear combinations of the elements of the orbit. Furthermore, via the classical result of the determinant of the Vandermonde matrix, it is shown that, the more the elements of the orbit are used, the faster the convergence of the orbit to the basis elements of . Keywords: Diagonal operators; Convergence of Orbits of operators; Vandermonde matrix; Norm topology
APA, Harvard, Vancouver, ISO, and other styles
5

Chang, Geng-Zhe. "Planar Metric Inequalities Derived from the Vandermonde Determinant." American Mathematical Monthly 92, no. 7 (August 1985): 495. http://dx.doi.org/10.2307/2322511.

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

Chang, Geng-Zhe. "Planar Metric Inequalities Derived from the Vandermonde Determinant." American Mathematical Monthly 92, no. 7 (August 1985): 495–99. http://dx.doi.org/10.1080/00029890.1985.11971664.

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

Chu, Wenchang, and Xiaoyuan Wang. "Extensions of Vandermonde determinant by computing divided differences." Afrika Matematika 29, no. 1-2 (September 8, 2017): 73–79. http://dx.doi.org/10.1007/s13370-017-0527-3.

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

Sogabe, Tomohiro, and Moawwad El-Mikkawy. "On a problem related to the Vandermonde determinant." Discrete Applied Mathematics 157, no. 13 (July 2009): 2997–99. http://dx.doi.org/10.1016/j.dam.2009.04.018.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

徐, 雯燕. "Application of Vandermonde Determinant in Advanced Algebra Solving." Pure Mathematics 11, no. 07 (2021): 1421–29. http://dx.doi.org/10.12677/pm.2021.117159.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Ramana, D. S. "Arithmetical applications of an identity for the Vandermonde determinant." Acta Arithmetica 130, no. 4 (2007): 351–59. http://dx.doi.org/10.4064/aa130-4-4.

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

Dissertations / Theses on the topic "Vandermonde determinant"

1

Seppälä, L. (Louna). "Diophantine perspectives to the exponential function and Euler’s factorial series." Doctoral thesis, University of Oulu, 2019. http://urn.fi/urn:isbn:9789529418237.

Full text
Abstract:
Abstract The focus of this thesis is on two functions: the exponential function and Euler’s factorial series. By constructing explicit Padé approximations, we are able to improve lower bounds for linear forms in the values of these functions. In particular, the dependence on the height of the coefficients of the linear form will be sharpened in the lower bound. The first chapter contains some necessary definitions and auxiliary results needed in later chapters.We give precise definitions for a transcendence measure and Padé approximations of the second type. Siegel’s lemma will be introduced as a fundamental tool in Diophantine approximation. A brief excursion to exterior algebras shows how they can be used to prove determinant expansion formulas. The reader will also be familiarised with valuations of number fields. In Chapter 2, a new transcendence measure for e is proved using type II Hermite-Padé approximations to the exponential function. An improvement to the previous transcendence measures is achieved by estimating the common factors of the coefficients of the auxiliary polynomials. The exponential function is the underlying topic of the third chapter as well. Now we study the common factors of the maximal minors of some large block matrices that appear when constructing Padé-type approximations to the exponential function. The factorisation of these minors is of interest both because of Bombieri and Vaaler’s improved version of Siegel’s lemma and because they are connected to finding explicit expressions for the approximation polynomials. In the beginning of Chapter 3, two general theorems concerning factors of Vandermonde-type block determinants are proved. In the final chapter, we concentrate on Euler’s factorial series which has a positive radius of convergence in p-adic fields. We establish some non-vanishing results for a linear form in the values of Euler’s series at algebraic integer points. A lower bound for this linear form is derived as well.
APA, Harvard, Vancouver, ISO, and other styles
2

Lundengård, Karl. "Generalized Vandermonde matrices and determinants in electromagnetic compatibility." Licentiate thesis, Mälardalens högskola, Utbildningsvetenskap och Matematik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-34864.

Full text
Abstract:
Matrices whose rows (or columns) consists of monomials of sequential powers are called Vandermonde matrices and can be used to describe several useful concepts and have properties that can be helpful for solving many kinds of problems. In this thesis we will discuss this matrix and some of its properties as well as a generalization of it and how it can be applied to curve fitting discharge current for the purpose of ensuring electromagnetic compatibility. In the first chapter the basic theory for later chapters is introduced. This includes the Vandermonde matrix and some of its properties, history, applications and generalizations, interpolation and regression problems, optimal experiment design and modelling of electrostatic discharge currents with the purpose to ensure electromagnetic compatibility. The second chapter focuses on finding the extreme points for the determinant for the Vandermonde matrix on various surfaces including spheres, ellipsoids, cylinders and tori. The extreme points are analysed in three dimensions or more. The third chapter discusses fitting a particular model called the p-peaked Analytically Extended Function (AEF) to data taken either from a standard for electromagnetic compatibility or experimental measurements. More specifically the AEF will be fitted to discharge currents from the IEC 62305-1 and IEC 61000-4-2 standards for lightning protection and electrostatic discharge immunity as well as some experimentally measured data of similar phenomena.
APA, Harvard, Vancouver, ISO, and other styles
3

Savitraz, Marcos. "DETERMINANTE DE ALGUMAS MATRIZES ESPECIAIS." Universidade Federal da Grande Dourados, 2015. http://tede.ufgd.edu.br:8080/tede/handle/tede/306.

Full text
Abstract:
Submitted by Cibele Nogueira (cibelenogueira@ufgd.edu.br) on 2016-04-11T13:35:04Z No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) MARCOSSAVITRAZ.pdf: 593690 bytes, checksum: 425f2b9c86d8ddf94121fd26504fdcf8 (MD5)
Made available in DSpace on 2016-04-11T13:35:04Z (GMT). No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) MARCOSSAVITRAZ.pdf: 593690 bytes, checksum: 425f2b9c86d8ddf94121fd26504fdcf8 (MD5) Previous issue date: 2015-10-07
This work brings an introductory context on determinants of special matrices, specifically the Vandermonde matrix, Cauchy and Hilbert. A compact algebraic formula is deduced for the determinant of each matrix. This formula provides ease in determining in the calculation process for this class of matrices. Applications are considered in the resolution of linear systems as well as in polynomial interpolation. Finally, we propose a class where we discuss concepts cited in the resolution of a problem situation, to be worked with high school students.
O presente trabalho nos traz um contexto introdutório sobre determinantes de matrizes especiais, mais concretamente a matriz de Vandermonde, Cauchy e Hilbert. Uma fórmula algébrica compacta é deduzida para o determinante de cada matriz. Esta fórmula nos proporciona facilidade no processo de cálculo do determinante para esta classe de matrizes. Aplicações são consideradas na resolução de sistemas lineares como também na interpolação polinomial. Finalmente, apresentamos uma proposta de aula onde abordamos conceitos citados na resolução de uma situação problema, para ser trabalhada com alunos do Ensino Médio.
APA, Harvard, Vancouver, ISO, and other styles
4

Li, Xuan Zhu, and 李宣助. "A proof about the generalized vandermonde determinant." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/72478540854090189080.

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

Lee, Shuan-Juh, and 李宣助. "A PROOF ABOUT THE GENERALIZED VANDERMONDE DETERMINANT." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/87915476536930245791.

Full text
Abstract:
碩士
國立政治大學
應用數學研究所
82
When we solve a characteristic equation of a recurrence relation ,no matter what the roots are distinct or not,we take the linear independence of these solutions producing by each root for granted.Basing on this fact,we can easily write out the general solutions of this recurrence relation by using linear combination.
APA, Harvard, Vancouver, ISO, and other styles
6

Hsuan-Chu, Li, and 李宣助. "Studies on Generalized Vandermonde Matrices: Their Determinants, Inverses, Explicit LU Factorizations, with Applications." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/98917357188189258047.

Full text
Abstract:
博士
國立政治大學
應用數學研究所
95
Classical and generalized Vandermonde matrices are ubiquitous in mathematics, and various studies on their determinants, inverses, explicit LU factorizations with applications are done recently by many authors. In this thesis we shall focus on two topics: One is generalized Vandermonde matrices revisited and the other is various decompositions of some generalized Vandermonde matrices. In the first topic, we prove the well-known determinant formulas of two types of generalized Vandermonde matrices using only mathematical induction, different from the proofs of Fulin Qian's and Flowe-Harris'. In the second topic, which constitutes the main results of this thesis, we devote ourself to two themes. Firstly, we study a special class which is the transpose of the generalized Vandermonde matrix of the first type and succeed in obtaining its LU factorization in an explicit form. Furthermore, we express the LU factorization into 1-banded factorizations and get the inverse explicitly. Secondly, we consider a totally positive(TP) generalized Vandermonde matrix and obtain its unique LU factorization without using Schur functions. The result is better than Demmel and Koev's which is involved Schur functions. As by-products, we gain the determinant and the inverse of the required matrix and express any Schur function in an explicit form. Basing on the above result, we obtain a way to calculate Kostka numbers by expanding Schur functions.
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Vandermonde determinant"

1

Lundengård, Karl, Jonas Österberg, and Sergei Silvestrov. "Extreme Points of the Vandermonde Determinant on the Sphere and Some Limits Involving the Generalized Vandermonde Determinant." In Springer Proceedings in Mathematics & Statistics, 761–89. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-41850-2_32.

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

Kiefer, J., and J. Wolfowitz. "On a Problem Connected with the Vandermonde Determinant." In Collected Papers III, 212–15. New York, NY: Springer New York, 1985. http://dx.doi.org/10.1007/978-1-4615-6660-1_11.

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

Kitamoto, Takuya. "On the Computation of the Determinant of a Generalized Vandermonde Matrix." In Computer Algebra in Scientific Computing, 242–55. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-10515-4_18.

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

Muhumuza, Asaph Keikara, Karl Lundengård, Jonas Österberg, Sergei Silvestrov, John Magero Mango, and Godwin Kakuba. "Extreme Points of the Vandermonde Determinant on Surfaces Implicitly Determined by a Univariate Polynomial." In Springer Proceedings in Mathematics & Statistics, 791–818. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-41850-2_33.

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

Muhumuza, Asaph Keikara, Karl Lundengård, Jonas Österberg, Sergei Silvestrov, John Magero Mango, and Godwin Kakuba. "Optimization of the Wishart Joint Eigenvalue Probability Density Distribution Based on the Vandermonde Determinant." In Springer Proceedings in Mathematics & Statistics, 819–38. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-41850-2_34.

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

Lorentz, Rudolph A. "Vandermonde determinants." In Lecture Notes in Mathematics, 139–55. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/bfb0088799.

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

Kolokotronis, Nicholas, Konstantinos Limniotis, and Nicholas Kalouptsidis. "Lower Bounds on Sequence Complexity Via Generalised Vandermonde Determinants." In Sequences and Their Applications – SETA 2006, 271–84. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11863854_23.

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

"Vandermonde determinants." In Abstract Algebra, 237–46. Chapman and Hall/CRC, 2007. http://dx.doi.org/10.1201/b15896-19.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Fallat, Shaun M., and Charles R. Johnson. "Recognition." In Totally Nonnegative Matrices. Princeton University Press, 2011. http://dx.doi.org/10.23943/princeton/9780691121574.003.0004.

Full text
Abstract:
This chapter discusses the recognition of TN matrices. It touches on one of the many applications for the structure of TN matrices. TN matrices enjoy tremendous structure, as a result of requiring all minors to be nonnegative. This intricate structure makes it easier to determine when a matrix is TP than to check when it is a P-matrix, which formally involves far fewer minors. Vandermonde matrices arise in the problem of determining a polynomial of degree at most n − 1 that interpolates n data points. Suppose that n data points (xᵢ,yᵢ)unconverted formula are given. The goal is to construct a polynomial p(x) = a₀ + a₁x + … + asubscript n − 1xsuperscript n − 1 that satisfies p(xᵢ) = yᵢ for i = 1, 2, …,n.
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Vandermonde determinant"

1

WYBOURNE, BRIAN G. "THE VANDERMONDE DETERMINANT REVISITED." In Proceedings of the 7th International School on Theoretical Physics. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704474_0006.

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

Lundengård, Karl, Jonas Österberg, and Sergei Silvestrov. "Optimization of the determinant of the Vandermonde matrix and related matrices." In 10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4904633.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Vandermonde determinant' for particular source types:
Journal articles
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