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Polynomials and generalized polynomials in control theory
Polynomials and generalized polynomials are studied with respect to applications in control theory...
BA - Obecná matematika
- 2007 •
- B
Rok uplatnění
B - Odborná kniha
Sensitivity of polynomial roots
The article deals with issue of ill-conditioned polynomials, i. e. polynomials, which small change of some polynomial coefficient produce the big changes of polynomial roots....
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Sensitivity of polynomial roots
The article deals with issue of ill-conditioned polynomials, i. e. polynomials, which small change of some polynomial coefficient produce the big changes of polynomial roots....
BA - Obecná matematika
- 2005 •
- D
Rok uplatnění
D - Stať ve sborníku
A Tutte Polynomial for Maps
(i.e. the Tutte polynomial) as a unification of the chromatic polynomial and the flow polynomial in order to construct a new polynomial invariant of maps (graphs embedded in orientable surfaces). We call this the ...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Polmat - a Library for MuPAD
Polmat can compute, e. g., polynomial spectral factorisation, solution of equations with polynomials or polynomial matrices, greatest common divisor of polynomials, polynomial matrices etc....
BC - Teorie a systémy řízení
- 2009 •
- R
Rok uplatnění
R - Software
The canonical Tutte polynomial for signed graphs
We construct a new polynomial invariant for signed graphs, the trivariate Tutte polynomial, which contains among its evaluations the number of proper colorings and the number of nowhere-zero flows. In this, it parallels the Tutte
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On Chebyshev Polynomials of Matrices
The mth Chebyshev polynomial of a square matrix A is the monic polynomial that minimizes the matrix 2-norm of p(A) over all monic polynomials p(z) of degree m. This polynomial is uniquely defined if m is less than ...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Implementation of polynomial algebra via spectra.
Polynomial methods are today an effective method for the synthesis of control systems. The calculation of certain function with polynomial matrices which are represented by coefficients of polynomials are time consuming. If...
BC - Teorie a systémy řízení
- 2002 •
- D
Rok uplatnění
D - Stať ve sborníku
Polmat - Polynomials and Polynomial Matrices for MuPAD
Republic with respect for use in the polynomial methods in control. Polmat can compute, e. g., polynomial spectral factorisation, solution of equations with polynomials or polynomial matrices, greatest common divi...
BC - Teorie a systémy řízení
- 2005 •
- X
Rok uplatnění
X - Nezařazeno
The composition of polynomials by the substitution principle
The composition of polynomials is studied from the purely algebraic point of view. Namely, a composition is defined for n-tuples of polynomials and it is proved that they then form a composition ring....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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