Filtry
A note on computation of pseudospectra
The aim is to contribute to pseudospectra computation via a path following technique. Given a complex matrix A, we compute the branch consisting of a fixed singular value and the corresponding left and right singular vectors of the parameter dependen...
BA - Obecná matematika
- 2012 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Continuation of oscillatory patterns in a road traffic model of three cars
We investigate microscopic models of the road traffic. In particular, we consider the car-following model for a single-line traffic flow of N identical cars on a circular road. The classical differentiable model breaks down at the time instant when t...
BA - Obecná matematika
- 2012 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Decompositions of quaternions and their matrix equivalents
Since quaternions have isomorphic representations in matrix form, we investigated and applied various well known matrix decompositions to quaternions.
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
The analytic SVD: On the non-generic points on the path
A new technique for computing Analytic SVD is proposed. The idea is to follow a branch of just one simple singular value and the corresponding left/right singular vector. Numerical computation may collaps at non-generic points: The particular case wh...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A road traffic model with overtaking: Continuation of periodic patterns using symmetry
A microscopic model of the traffic flow of three identical cars is considered. The model can be classified as a Filippov system. It admits several classes of oscillatory solutions (patterns). We explore the possibility to continue the patterns with r...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The traffic problem: Modelling of the overtaking
The classical microscopic single line follow-the-leader model of a road traffic may collapse in finite time due to a car collision. In order to avoid the collision, the natural action of a driver would be to overtake the slower car. We propose a simp...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Matrix decompositions for quaternions
We study various decompositions of quaternions where we employ the isomorphic matrix images of quaternions.
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Linear Quaternionic Systems,
We study quaternionic linear equations. For the special case of Sylvester's equationa complete solution is given by making use of only quaternionic algebra. For the general case we show that the solution can be found by a corresponding matrix equatio...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
An algorithm for computing the Analytic Singular Value Decomposition
A proof of convergence of a new continuation algorithm for computing the Analytic SVD for a large sparse parameter-dependent matrix is given.
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
A note on computation of pseudospectra
The aim is to contribute to pseudospectra computation via a path following technique. Given a matrix, we compute the branch consisting of a fixed singular value and corresponding left and right singular vectors of the parameter dependent matrix ....
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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