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Matrix Representations of Algebraic Varieties - Thang Luu Ba
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Thang Luu Ba:

Matrix Representations of Algebraic Varieties - neues Buch

2011, ISBN: 9786131598104

ID: 602171909

In this book, we introduce and study a new implicit representation of rational curves of arbitrary dimensions and propose an implicit representation of rational hypersurfaces. Then, we illustrate the advantages of this matrix representation by addressing several important problems of Computer Aided Geometric Design (CAGD): The curve/curve, curve/surface and surface/surface intersection problems, the point-on-curve and inversion problems, the computation of singularities of rational curves. We also develop some symbolic/numeric algorithms to manipulate these new representations for example: the algorithm for extracting the regular part of a non square pencil of univariate polynomial matrices and bivariate polynomial matrices. In the appendix of this book we present an implementation of these methods in the computer algebra systems Mathemagix and Maple. In the last chapter, we describe an algorithm which, given a set of univariate polynomials $f_1,...,f_s$ returns a set of polynomials $u_1,...,u_s$ with prescribed degree-bounds such that the degree of $/gcd(f_1+u_1,...,f_s+u_s)$ is bounded below by a given degree assuming some genericity hypothesis. Matrix-based implicit representations of algebraic curves and surfaces and applications Bücher > Fremdsprachige Bücher > Französische Bücher Taschenbuch 21.10.2011 Buch (fremdspr.), Éditions universitaires européennes, .201

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Matrix Representations of Algebraic Varieties - Thang Luu Ba
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Thang Luu Ba:

Matrix Representations of Algebraic Varieties - neues Buch

ISBN: 9786131598104

ID: 4a6d6d4110031e2c03948fa74d206200

Matrix-based implicit representations of algebraic curves and surfaces and applications In this book, we introduce and study a new implicit representation of rational curves of arbitrary dimensions and propose an implicit representation of rational hypersurfaces. Then, we illustrate the advantages of this matrix representation by addressing several important problems of Computer Aided Geometric Design (CAGD): The curve/curve, curve/surface and surface/surface intersection problems, the point-on-curve and inversion problems, the computation of singularities of rational curves. We also develop some symbolic/numeric algorithms to manipulate these new representations for example: the algorithm for extracting the regular part of a non square pencil of univariate polynomial matrices and bivariate polynomial matrices. In the appendix of this book we present an implementation of these methods in the computer algebra systems Mathemagix and Maple. In the last chapter, we describe an algorithm which, given a set of univariate polynomials $f_1,...,f_s$ returns a set of polynomials $u_1,...,u_s$ with prescribed degree-bounds such that the degree of $/gcd(f_1+u_1,...,f_s+u_s)$ is bounded below by a given degree assuming some genericity hypothesis. Bücher / Fremdsprachige Bücher / Französische Bücher 978-613-1-59810-4, Éditions universitaires européennes

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Matrix Representations of Algebraic Varieties - Thang Luu Ba
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Thang Luu Ba:
Matrix Representations of Algebraic Varieties - Taschenbuch

2011

ISBN: 613159810X

ID: 10409893374

[EAN: 9786131598104], Neubuch, [PU: Editions Universitaires Europeennes EUE Okt 2011], This item is printed on demand - Print on Demand Neuware - In this book, we introduce and study a new implicit representation of rational curves of arbitrary dimensions and propose an implicit representation of rational hypersurfaces. Then, we illustrate the advantages of this matrix representation by addressing several important problems of Computer Aided Geometric Design (CAGD): The curve/curve, curve/surface and surface/surface intersection problems, the point-on-curve and inversion problems, the computation of singularities of rational curves. We also develop some symbolic/numeric algorithms to manipulate these new representations for example: the algorithm for extracting the regular part of a non square pencil of univariate polynomial matrices and bivariate polynomial matrices. In the appendix of this book we present an implementation of these methods in the computer algebra systems Mathemagix and Maple. In the last chapter, we describe an algorithm which, given a set of univariate polynomials $f_1,.,f_s$ returns a set of polynomials $u_1,.,u_s$ with prescribed degree-bounds such that the degree of $gcd(f_1+u_1,.,f_s+u_s)$ is bounded below by a given degree assuming some genericity hypothesis. 112 pp. Englisch

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Matrix Representations of Algebraic Varieties - Thang Luu Ba
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Thang Luu Ba:
Matrix Representations of Algebraic Varieties - Taschenbuch

2011, ISBN: 613159810X

ID: 20200991050

[EAN: 9786131598104], Neubuch, [PU: Editions Universitaires Europeennes EUE Okt 2011], Neuware - In this book, we introduce and study a new implicit representation of rational curves of arbitrary dimensions and propose an implicit representation of rational hypersurfaces. Then, we illustrate the advantages of this matrix representation by addressing several important problems of Computer Aided Geometric Design (CAGD): The curve/curve, curve/surface and surface/surface intersection problems, the point-on-curve and inversion problems, the computation of singularities of rational curves. We also develop some symbolic/numeric algorithms to manipulate these new representations for example: the algorithm for extracting the regular part of a non square pencil of univariate polynomial matrices and bivariate polynomial matrices. In the appendix of this book we present an implementation of these methods in the computer algebra systems Mathemagix and Maple. In the last chapter, we describe an algorithm which, given a set of univariate polynomials $f_1,.,f_s$ returns a set of polynomials $u_1,.,u_s$ with prescribed degree-bounds such that the degree of $gcd(f_1+u_1,.,f_s+u_s)$ is bounded below by a given degree assuming some genericity hypothesis. 112 pp. Englisch

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Matrix Representations of Algebraic Varieties - Thang Luu Ba
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Thang Luu Ba:
Matrix Representations of Algebraic Varieties - neues Buch

ISBN: 9786131598104

ID: 82a9f424f6229c6d155154d4bbdcf2b4

In this book, we introduce and study a new implicit representation of rational curves of arbitrary dimensions and propose an implicit representation of rational hypersurfaces. Then, we illustrate the advantages of this matrix representation by addressing several important problems of Computer Aided Geometric Design (CAGD): The curve/curve, curve/surface and surface/surface intersection problems, the point-on-curve and inversion problems, the computation of singularities of rational curves. We also develop some symbolic/numeric algorithms to manipulate these new representations for example: the algorithm for extracting the regular part of a non square pencil of univariate polynomial matrices and bivariate polynomial matrices. In the appendix of this book we present an implementation of these methods in the computer algebra systems Mathemagix and Maple. In the last chapter, we describe an algorithm which, given a set of univariate polynomials $f_1,...,f_s$ returns a set of polynomials $u_1,...,u_s$ with prescribed degree-bounds such that the degree of $gcd(f_1+u_1,...,f_s+u_s)$ is bounded below by a given degree assuming some genericity hypothesis. Bücher / Naturwissenschaften, Medizin, Informatik & Technik / Mathematik

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Details zum Buch
Matrix Representations of Algebraic Varieties
Autor:

Luu Ba, Thang

Titel:

Matrix Representations of Algebraic Varieties

ISBN-Nummer:

613159810X

Detailangaben zum Buch - Matrix Representations of Algebraic Varieties


EAN (ISBN-13): 9786131598104
ISBN (ISBN-10): 613159810X
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2011
Herausgeber: Éditions universitaires européennes

Buch in der Datenbank seit 22.07.2008 05:46:03
Buch zuletzt gefunden am 11.03.2017 13:18:03
ISBN/EAN: 613159810X

ISBN - alternative Schreibweisen:
613-1-59810-X, 978-613-1-59810-4

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