Hamburg University of Technology / Institute of Mathematics / Staff / Dr. Florian Bünger / Publications German flag

Publications

Document type:    Year:

2021Symbol: Arrow up
Issue DatePublicationDocument Type
07/01/2021On 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
Article
01/01/2021Preconditioning 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
Article
01/01/2021When does ‖f(A)‖ = f(‖A‖) hold true?
Florian Bünger, Siegfried M. Rump

Source:
Linear and Multilinear Algebra (in Press): (2021)

Journal:
Linear and multilinear algebra
Article
2020Symbol: Arrow up
Issue DatePublicationDocument Type
04/01/2020A 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
Article
2019Symbol: Arrow up
Issue DatePublicationDocument Type
12/01/2019Complex Disk Products and Cartesian Ovals
Florian Bünger, Siegfried M. Rump

Source:
Journal of Geometry 3 (110): 45 (2019-12-01)

Journal:
Journal of geometry
Article
10/01/2019Lower 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
Article
01/01/2019The 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
Article
2018Symbol: Arrow up
Issue DatePublicationDocument Type
08/01/2018Shrink wrapping for Taylor models revisited
Florian Bünger

Source:
Numerical Algorithms 4 (78): 1001-1017 (2018-08-01)

Journal:
Numerical Algorithms
Article
2017Symbol: Arrow up
Issue DatePublicationDocument Type
09/15/2017A 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
Article
2016Symbol: Arrow up
Issue DatePublicationDocument Type
11/15/2016Yet 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
Article
01/01/2016A 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
Article
2015Symbol: Arrow up
Issue DatePublicationDocument Type
07/25/2015Simple 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
Article
07/01/2015Accelerating 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
Article
03/24/2015Improved 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
Article
2014Symbol: Arrow up
Issue DatePublicationDocument Type
08/07/2014Inverses, 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
Article
06/04/2014On 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
Article
01/01/2014A note on the boundary shape of matrix polytope products
Florian Bünger

Source:
Reliable Computing 1 (20): 73-88 (2014)

Journal:
Reliable Computing
Article
2011Symbol: Arrow up
Issue DatePublicationDocument Type
01/01/2011Verified 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
Article
2010Symbol: Arrow up
Issue DatePublicationDocument Type
06/09/2010Minimizing 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
Article
2009Symbol: Arrow up
Issue DatePublicationDocument Type
05/04/2009An 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
Article
2008Symbol: Arrow up
Issue DatePublicationDocument Type
01/01/2008Stationäre, laminare, inkompressible Nachlauf-Fernfeld-Strömungen
Florian Bünger
Diploma Thesis
2002Symbol: Arrow up
Issue DatePublicationDocument Type
01/01/2002Standard 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
inBook
2001Symbol: Arrow up
Issue DatePublicationDocument Type
05/24/2001The 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
Article
1999Symbol: Arrow up
Issue DatePublicationDocument Type
09/01/1999A 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
Article
1997Symbol: Arrow up
Issue DatePublicationDocument Type
07/15/1997Products 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
Article
03/01/1997Products of quasi-involutions in unitary groups
Florian Bünger, Frieder Knüppel

Source:
Geometriae Dedicata 3 (65): 313-321 (1997-03)

Journal:
Geometriae dedicata
Article
01/01/1997Involutionen als Erzeugende in unitären Gruppen
Florian Bünger
Doctoral Thesis
01/01/1997Products 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
inProceedings
1994Symbol: Arrow up
Issue DatePublicationDocument Type
01/01/1994Produkte von Konjugiertenklassen in den Gruppen GL(V) und SL(V)
Florian Bünger
Diploma Thesis