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[PDF] Top 20 Approximate greatest common divisor of many polynomials and pseudo-spectrum

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Approximate greatest common divisor of many polynomials and pseudo-spectrum

Approximate greatest common divisor of many polynomials and pseudo-spectrum

... of approximate solutions is that they are based on the relaxation of exact conditions which characterise the ...order approximate GCDs and evaluate their quality of approximation, or strength by solving an ... See full document

7

The computation of the degree of an approximate greatest common divisor of two Bernstein polynomials

The computation of the degree of an approximate greatest common divisor of two Bernstein polynomials

... inexact polynomials because their coefficients are corrupted by ...an approximate greatest common divisor (AGCD) of noisy forms f (y) and g(y) of, respectively, the exact ... See full document

39

Singular value decomposition and structures total least norm for approximate greatest common divisor of unvariate polynomials

Singular value decomposition and structures total least norm for approximate greatest common divisor of unvariate polynomials

... of approximate divisor in application of SVD of Sylvester matrix of the corresponding input ...input polynomials so that the perturbed polynomials have a nontrivial ... See full document

24

A non-linear structure-preserving matrix method for the computation of the coefficients of an approximate greatest common divisor of two Bernstein polynomials

A non-linear structure-preserving matrix method for the computation of the coefficients of an approximate greatest common divisor of two Bernstein polynomials

... Equation (54) is similar to (29) because it is derived from an approximation of a polynomial decomposition and the variables to be computed include the perturbations to be added to the inexact polynomials, such ... See full document

38

Nearest common root of polynomials, approximate greatest common divisor and the structured singular value

Nearest common root of polynomials, approximate greatest common divisor and the structured singular value

... perturbed polynomials have a common root, is equivalent to the calculation of the structured singular value (spherical structured singular value) of an appropriate ...low-degree polynomials has been ... See full document

20

Structured total least norm and approximate GCDs of inexact polynomials

Structured total least norm and approximate GCDs of inexact polynomials

... an approximate greatest common divisor (GCD) of two in- exact polynomials f = f (y) and g = g(y) arises in several applications, including signal processing and ...This ... See full document

22

The ERES method for computing the approximate GCD of several polynomials

The ERES method for computing the approximate GCD of several polynomials

... the Greatest Common Divisor (GCD) of polynomials is a fundamental problem in many mathematical areas such as linear systems, control theory, network theory and ...univariate ... See full document

38

Approximate factorization of multivariate polynomials using singular value decomposition

Approximate factorization of multivariate polynomials using singular value decomposition

... considered to apply S. Gao’s exact polynomial factoring algorithm (see Gao, 2003) for numer- ical coefficients. Independently, in the conclusion of (Kaltofen and May, 2003) we have sug- gested that structural minimal ... See full document

19

Approximate least common multiple of several polynomials using the ERES division algorithm

Approximate least common multiple of several polynomials using the ERES division algorithm

... the approximate least common multiple (ALCM) of a set of several univariate real polynomials is ...the greatest common divisor ...of polynomials and leads to the ... See full document

32

Matrix representation of the shifting operation and numerical properties of the ERES method for computing the greatest common divisor of sets of many polynomials

Matrix representation of the shifting operation and numerical properties of the ERES method for computing the greatest common divisor of sets of many polynomials

... an approximate GCD for sets of polynomials with inaccurate ...the approximate GCD problem has been described in [23], and it is referred to as the Hybrid ERES algorithm ... See full document

23

Learning to play approximate Nash equilibria in games with many players

Learning to play approximate Nash equilibria in games with many players

... There are many further relationships between this paper and the lit- erature on learning in games. We highlight two. First, there is a large literature, not mentioned above, on the convergence of learning dynamics ... See full document

47

The Greatest Films

The Greatest Films

... Through his own inhabitation in language, the poetic speaker in “The Greatest Films” searches within himself for complex hybrid histories that precede his own entries into both Caribbeanness and Canadianness. In ... See full document

98

Pseudo Laguerre Matrix Polynomials, Operational Identities and Quasi Monomiality

Pseudo Laguerre Matrix Polynomials, Operational Identities and Quasi Monomiality

... matrix polynomials have become more important and some results in the theory of classical orthogonal polynomials have been ex- tended to orthogonal matrix polynomials see for instance ...matrix ... See full document

9

An iterative algorithm to approximate a common element of the set of common fixed points for a finite family of strict pseudo-contractions and of the set of solutions for a modified system of variational inequalities

An iterative algorithm to approximate a common element of the set of common fixed points for a finite family of strict pseudo-contractions and of the set of solutions for a modified system of variational inequalities

... by many researchers, and it is connected with a wide range of applications in industry, finance, economics, social sciences, ecology, regional, pure and applied sciences; see, ... See full document

19

Approximate Closed Form Formulas for the Zeros of the Bessel Polynomials

Approximate Closed Form Formulas for the Zeros of the Bessel Polynomials

... of polynomials satisfying second-order differential equations 15–17, the second is a simple curve fitting of numerical data, and the third is the known fact that the points of well-defined curves in the complex ... See full document

11

The ERES method for computing the approximate GCD of several polynomials

The ERES method for computing the approximate GCD of several polynomials

... Permanent repository link: http://openaccess.city.ac.uk/14042/ Link to published version: http://dx.doi.org/10.1016/j.apnum.2009.10.002 Copyright and reuse: City Research Online aims to [r] ... See full document

6

On the Approximate Solution of Fractional Logistic Differential Equation Using Operational Matrices of Bernstein Polynomials

On the Approximate Solution of Fractional Logistic Differential Equation Using Operational Matrices of Bernstein Polynomials

... new approximate formula of the fractional derivative using Legendre se- ries expansion and used it to solve numerically the fractional delay ...An approximate formula of the fractional deriva- tive is ... See full document

8

SU(3) breaking and the pseudo-scalar spectrum in multi-taste QCD

SU(3) breaking and the pseudo-scalar spectrum in multi-taste QCD

... This diagonalization is simplified since there are actually three distinct S U(4) taste groups, one for each of the flavors u, d, s. This makes it possible to classify the pseudo-scalar mesons in terms of their ... See full document

6

Not for resale. 4.1 Divisibility of Natural Numbers 4.2 Tests for Divisibility 4.3 Greatest Common Divisors and Least Common Multiples

Not for resale. 4.1 Divisibility of Natural Numbers 4.2 Tests for Divisibility 4.3 Greatest Common Divisors and Least Common Multiples

... But there is more. One of the most common errors in typing a number when, for exam- ple, ordering something over the Internet is that of transposing two adjacent digits. The card-numbering scheme has been devised ... See full document

13

On zero-divisor graphs of quotient rings and complemented zero-divisor graphs

On zero-divisor graphs of quotient rings and complemented zero-divisor graphs

... ring with identity element was first introduced by I. Beck in [6] and has been studied by many authors (see for example [1, 2, 3, 5, 11]). In [10], Redmond has extended this notion to noncommutative rings and ... See full document

12

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