Scientific journals
31. Hanus T., Janovská D.: Scalar Potential in Planar Filippov Systems. 5th Chapter in the book „Advanced Applications of Computational Mathematics“, River Publishers Series in Mathematical and Engineering Sciences (2021), pp. 51-83. ISBN: 978-87-7022-605-9 (Hardback) 978-87-7022-604-2 (Ebook)
30. Janovská D., Opfer G. (2019) Newton’s Approach to General Algebraic Equations over Clifford Algebras. In: Bernstein S. (eds) Topics in Clifford Analysis.
Trends in Mathematics, Birkhäuser, Cham, pp. 267-276.
https://doi.org/10.1007/978-3-030-23854-4_13
29. Janovská D., Opfer G.: The Relation between the Companion Matrix and the Companion Polynomial in R-4 Algebras, Advances in Applied Clifford
Algebras 28, 76 (2018). https://doi.org/10.1007/s00006-018-0892-5.
28. Janovská D., Opfer G.: The number of zeros of unilateral polynomials over coquaternions and related algebras. ETNA (Electronic Transaction on
Numerical Analysis), Vol. 46 (2017), 55-70.
27. Janovská D., Opfer G. : Matrices Over Nondivision Algebras Without Eigenvalues. Advances in Applied Clifford Algebras 26 (2016), 591-612.
26. Janovská D., Opfer G.: Zeros and singular points for one-sided coquaternionic polynomials with an extension to other R4 algebras. ETNA (Electronic
Transaction on Numerical Analysis), Vol. 41 (2014), 133-158.
25. Janovská D., Opfer G.: Linear equations and the Kronecker product in coquaternions. Mitteilungen der Mathematischen Gesellschaft in Hamburg, 33,
2013, 181-196.
24. Janovská D., Opfer G.: The Algebraic Riccati Equation for Quaternions. Advances in Applied Clifford Algebras 23 (2013), pp. 907 – 918.
23. Janovská D., Biák M., Hanus T. : Some applications of Filippov's dynamical systems, Journal of Computational and Applied Mathematics 254 (2013),
pp. 132 – 143.
22. Janovská D., Janovský V., Tanabe K.: A note on computation of pseudospectra, Mathematics and Computers in Simulation 82 (2012), pp. 1732 – 1743.
21. Janovská D., Opfer G.: The Nonexistence of Pseudoquaternions in C^{2 x 2}, Advances in Applied Clifford Algebras 21 (2011), 531 – 540.,
DOI 10.1007/s00006-010-0273-1.
20. Janovská D., Janovský V.: The analytic SVD: On the non-generic points on the path, ETNA (Electronic Transaction on Numerical Analysis),
Vol. 37 (2010), 70 – 86., ISSN 1068 – 9613.
19. Janovská D., Opfer G.: The classification and the computation of the zeros of quaternionic, two-sided polynomials, Numerische Mathematik, Volume
115, No.1 (2010), 81 – 100, ISSN 0029 –599X.
18. Janovská D., Opfer G.: A note on the computation of all zeros of simple quaternionic polynomials, SIAM J. Numer. Anal. 48 (2010), 244 – 256, ISSN 0036 –
1429.
17. Janovská D., Opfer G.: Decompositions of quaternions and their matrix equivalents. In: Matrix Methods: Theory, Algorithms, Applications,
V. Olshevsky, and E. Tyrtyshnikov eds.,World Scientific Publishing Company (2010), 20 – 30. ISBN-978-981-283-601-4.
16. Janovská D., Opfer G.: Linear Quaternionic Systems, Mitt. Math. Ges. Hamburg 27 (2008), 223 – 234, ISSN 0340 – 4358.
15. Janovská D., Opfer G.: Computing quaternionic roots by Newton's method, Electronic Transactions on Numerical Analysis (ETNA), Vol.26 (2007),
pp.82 – 102, ISSN 1068-9613.
14. Hanus T., Janovská D.: Discontinuous, piecewise–smooth dynamical systems, CHISA 2006, Praha, Czech Republic, CD-ROM of Full Texts CHISA 2006,
ISBN 80-86059-45-6, Title Index: D, Org.No.:F4.8.
13. Janovská D., Opfer G.: Givens transformation for quaternion-valued matrices applied to Hessenberg reduction, ETNA,
Electronic Transactions on Numerical Analysis, Vol.20, 2005, pp.1– 26, ISSN 1068-9613.
12. Janovská D., Opfer G.: Givens' transformation applied to quaternion valued vectors, BIT Numerical Mathematics 43, No.5 (2003), 991 – 1002, ISSN 0006-
3835.
11. Böhmer K., Janovská D., Janovský V.: Computing differentential of an unfolded contact diffeomorphism, Applications of Mathematics 48,
No. 1 (2003), 3 – 30, ISSN 0862-7940.
10. Böhmer K., Janovská D., Janovský V.: On the numerical analysis of the imperfect bifurcation of codim £ 3, SIAM J. Numer. Anal 40, No. 2 (2002), 416 – 430,
ISSN 0036-1429.
9. Janovská D.: Decomposition of an updated correlation matrix via hyperbolic transformations, Applications of Mathematics 47, No. 2 (2002), 101 – 113,
ISSN 0862-7940
8. Janovská D., Opfer G.: A Note on Hyperbolic Transformations, NLAA 8 (2001), 127 – 146, ISSN 1070-5325.
7. Korbelář J., Janovská D: Numerical model of a pine in a wind, Applications of Mathematics 44, No. 6 (1999), 459 – 468, ISSN 0862-7940.
6. Böhmer K., Janovská D., Janovský V.: Computer aided analysis of imperfect bifurcation diagrams, East-West J. Numer. Math 6, No. 3 (1998), 207 – 222,
ISSN 0928-0200.
5. Janovská D., Böhmer K., Janovský V.: Numerical analysis of the imperfect bifurcation, ZAMM (1997), 445 – 448, ISSN 0928-0200.
4. Janovská D.: Numerical treatment of subspace-breaking Takens-Bogdanov points with nonlinear degeneracies, SIAM J.Numer.Anal. 31,
No. 5 (1994), 1415 – 1433, ISSN 0036-1429.
3. Janovský V., Janovská D.: Remarks on inflated mappings, Comment. Math. Univ. Carol. 28 (1987), 491 – 500.
2. Janovský V., Janovská D.: Inflated mappings for singularities of codim £ 2, Comment. Math. Univ. Carol. 28 (1987), 501 – 515.
1. Janovská D., Marek I.: Once more about the monotonicity of the Temple quotient, Applications of Mathematics 29 (1984), 321--339.