Publications
Selection: Year:
2025 | ||
|---|---|---|
| Issue Date | Publication | Type |
| 01/01/2025 | Perturbation properties of the generalized spectral radius Florian Bünger, Alberto Seeger Source: Linear and Multilinear Algebra 73 (4): 633-648 (2025) Journal: Linear and multilinear algebra  | Journal Article |
2024 | ||
| Issue Date | Publication | Type |
| 01/06/2024 | Reducing the truncation error in Taylor model multiplication Florian Bünger Source: Numerical Algorithms 97 (2): 819-841 (2024) Journal: Numerical algorithms | Journal Article |
| 01/01/2024 | On sign-real spectral radii and sign-real expansive matrices Florian Bünger, Alberto Seeger Source: Linear Algebra and Its Applications 680: 293-324 (2024) Journal: Linear algebra and its applications | Journal Article |
2022 | ||
| Issue Date | Publication | Type |
| 01/01/2022 | When does ‖f(A)‖ = f(‖A‖) hold true? Florian Bünger, Siegfried M. Rump Source: Linear and Multilinear Algebra 21 (70): 7250-7263 (2022) Journal: Linear and multilinear algebra | Journal Article |
2021 | ||
| Issue Date | Publication | Type |
| 07/01/2021 | On norms of principal submatrices Florian Bünger, Marko Lange, Siegfried M. Rump Source: Linear Algebra and Its Applications 620: 27-36 (2021-07) Journal: Linear algebra and its applications | Journal Article |
| 01/01/2021 | Preconditioning of Taylor models, implementation and test cases Florian Bünger Source: Nonlinear Theory and Its Applications, IEICE 12 (1): 2-40 (2021) Journal: Nonlinear theory and its applications | Journal Article |
2020 | ||
| Issue Date | Publication | Type |
| 04/01/2020 | A Taylor model toolbox for solving ODEs implemented in MATLAB/INTLAB Florian Bünger Source: Journal of Computational and Applied Mathematics (368): 112511 (2020-04) Journal: Journal of computational and applied mathematics | Journal Article |
2019 | ||
| Issue Date | Publication | Type |
| 12/01/2019 | Complex Disk Products and Cartesian Ovals Florian Bünger, Siegfried M. Rump Source: Journal of Geometry 3 (110): 45 (2019-12-01) Journal: Journal of geometry | Journal Article |
| 10/01/2019 | Lower Bounds for the Smallest Singular Value of Certain Toeplitz-like Triangular Matrices with Linearly Increasing Diagonal Entries Florian Bünger, Siegfried M. Rump Source: Integral Equations and Operator Theory 5 (91) : 39 (2019-10) Journal: Integral equations and operator theory | Journal Article |
| 01/01/2019 | The determinant of a complex matrix and Gershgorin circles Florian Bünger, Siegfried M. Rump Source: Electronic Journal of Linear Algebra - ELA (35): 181-186 (2019) Journal: The electronic journal of linear algebra | Journal Article |
2018 | ||
| Issue Date | Publication | Type |
| 08/01/2018 | Shrink wrapping for Taylor models revisited Florian Bünger Source: Numerical Algorithms 4 (78): 1001-1017 (2018-08-01) Journal: Numerical Algorithms | Journal Article |
2017 | ||
| Issue Date | Publication | Type |
| 09/15/2017 | A short note on the ratio between sign-real and sign-complex spectral radius of a real square matrix Florian Bünger Source: Linear Algebra and Its Applications (529): 126-132 (2017-09-15) Journal: Linear algebra and its applications | Journal Article |
2016 | ||
| Issue Date | Publication | Type |
| 11/15/2016 | Yet more elementary proofs that the determinant of a symplectic matrix is 1 Florian Bünger, Siegfried M. Rump Source: Linear Algebra and Its Applications (515): 87-95 (2017-02-15) Journal: Linear algebra and its applications | Journal Article |
| 01/01/2016 | A short note on the convexity of interval matrix-vector products Florian Bünger, Siegfried M. Rump Source: Reliable Computing (21):74–79 (2016) Journal: Reliable Computing | Journal Article |
2015 | ||
| Issue Date | Publication | Type |
| 07/25/2015 | Simple floating-point filters for the two-dimensional orientation problem Katsuhisa Ozaki, Florian Bünger, Takeshi Ogita, Shin’ichi Oishi, Siegfried M. Rump Source: BIT Numerical Mathematics 2 (56): 729-749 (2016-06-01) Journal: BIT | Journal Article |
| 07/01/2015 | Accelerating interval matrix multiplication by mixed precision arithmetic Katsuhisa Ozaki, Takeshi Ogita, Florian Bünger, Shin’ichi Oishi Source: Nonlinear Theory and Its Applications, IEICE 3 (6): 364-376 (2015) Journal: Nonlinear theory and its applications | Journal Article |
| 03/24/2015 | Improved error bounds for floating-point products and Horner’s scheme Siegfried M. Rump, Florian Bünger, Claude Pierre Jeannerod Source: BIT Numerical Mathematics 1 (56): 293-307 (2016-03-01) Journal: BIT | Journal Article |
2014 | ||
| Issue Date | Publication | Type |
| 08/07/2014 | Inverses, determinants, eigenvalues, and eigenvectors of real symmetric Toeplitz matrices with linearly increasing entries Florian Bünger Source: Linear Algebra and Its Applications (459): 595-619 (2014-10-15) Journal: Linear algebra and its applications | Journal Article |
| 06/04/2014 | On the zeros of eigenpolynomials of hermitian Toeplitz matrices Florian Bünger Source: Integral Equations and Operator Theory 3 (80): 323-351 (2014) Journal: Integral equations and operator theory | Journal Article |
| 01/01/2014 | A note on the boundary shape of matrix polytope products Florian Bünger Source: Reliable Computing 1 (20): 73-88 (2014) Journal: Reliable Computing | Journal Article |
2011 | ||
| Issue Date | Publication | Type |
| 01/01/2011 | Verified solutions of two-point boundary value problems for nonlinear oscillators Florian Bünger Source: Nonlinear Theory and Its Applications, IEICE 1 (2): 90-110 (2011) Journal: Nonlinear theory and its applications | Journal Article |
2010 | ||
| Issue Date | Publication | Type |
| 06/09/2010 | Minimizing and maximizing the Euclidean norm of the product of two polynomials Florian Bünger Source: Advances in Computational Mathematics 2 (35): 193-215 (2011-11-01) Journal: Advances in computational mathematics | Journal Article |
2009 | ||
| Issue Date | Publication | Type |
| 05/04/2009 | An extended similarity theory applied to heated flows in complex geometries Florian Bünger, Heinz Herwig Source: Zeitschrift fur Angewandte Mathematik und Physik 6 (60): 1095-1111 (2009-11-01) Journal: Zeitschrift für angewandte Mathematik und Physik | Journal Article |
2008 | ||
| Issue Date | Publication | Type |
| 01/01/2008 | Stationäre, laminare, inkompressible Nachlauf-Fernfeld-Strömungen Florian Bünger | Master Thesis |
2002 | ||
| Issue Date | Publication | Type |
| 01/01/2002 | Standard integral table algebras with a faithful nonreal element of degree 5 Ṣevî Ārād, Florian Bünger, E. Fisman, Mikhail Muzychuk Source: Standard integral table algebras generated by a non-real element of small degree / Zvi Arad; Mikhail Muzychuk (eds.). - Berlin ; Heidelberg [u.a.] : Springer, 2002. - VII, 126 S. ; 24 cm ISBN 3-540-42851-8 kart. : DM 45.90 (Lecture notes in mathematics ; 1773). - Seite 43-81 Part of Series: Lecture notes in mathematics | Book Part |
2001 | ||
| Issue Date | Publication | Type |
| 05/24/2001 | The product of two quadratic matrices Florian Bünger, Frieder Knüppel, Klaus Nielsen Source: Linear Algebra and Its Applications 1-3 (331): 31-41 (2001-07-01) Journal: Linear algebra and its applications | Journal Article |
1999 | ||
| Issue Date | Publication | Type |
| 09/01/1999 | A matrix-decomposition theorem for GLn (K) Florian Bünger, Klaus Nielsen Source: Linear Algebra and Its Applications 1-3 (298): 39-50 (1999-09-01) Journal: Linear algebra and its applications | Journal Article |
1997 | ||
| Issue Date | Publication | Type |
| 07/15/1997 | Products of symmetries in unitary groups Florian Bünger, Frieder Knüppel, Klaus Nielsen Source: Linear Algebra and Its Applications 1-3 (260): 9-42 (1997-07-15) Journal: Linear algebra and its applications | Journal Article |
| 03/01/1997 | Products of quasi-involutions in unitary groups Florian Bünger, Frieder Knüppel Source: Geometriae Dedicata 3 (65): 313-321 (1997-03) Journal: Geometriae dedicata | Journal Article |
| 01/01/1997 | Involutionen als Erzeugende in unitären Gruppen Florian Bünger | Doctoral Thesis |
| 01/01/1997 | Products of involutions in unitary groups Florian Bünger Source: Proceedings of the 4th International Congress of Geometry: Part II, 93–100 (1997) Conference: 4th International Congress of Geometry | Conference Paper |
1994 | ||
| Issue Date | Publication | Type |
| 01/01/1994 | Produkte von Konjugiertenklassen in den Gruppen GL(V) und SL(V) Florian Bünger | Master Thesis |
