Institute for Reliable Computing
Head:
Prof. Dr. Siegfried M. Rump
PUBLICATIONS - FLORIAN BÜNGER
- F. Bünger and S.M. Rump. When does ||f(A)|| = f(||A||) hold true? Linear and Multilinear Algebra (LAMA), 2021. (PDF) ( doi:10.1080/03081087.2021.1985054)
- F. Bünger, M. Lange, and S.M. Rump. On norms of principal submatrices. Linear Algebra and its Applications (LAA), 620:27–36, 2021. (PDF) (doi:10.1016/j.laa.2021.02.021)
- F. Bünger. Preconditioning of Taylor models, implementation and test cases. Nonlinear Theory and its Applications (NOLTA), IEICE, 12(1):2–40, 2021. (doi:10.1587/nolta.12.2)
- F. Bünger. A Taylor model toolbox for solving ODEs implemented in MATLAB/INTLAB. Journal of Computational and Applied Mathematics, 368, 2020. (doi:10.1016/j.cam.2019.112511)
- F. Bünger and S.M. Rump. Complex Disk Products and Cartesian Ovals. Journal of Geometry, 110(45), 2019. (PDF) (doi:10.1007/s00022-019-0502-2).
- F. Bünger and S.M. Rump. Lower bounds for the smallest singular value of certain Toeplitz-like triangular matrices with linearly increasing diagonal entries. Integral Equations and Operator Theory, 91:39, 2019. (PDF) (doi:10.1007/s00020-019-2537-z)
- F. Bünger and S.M. Rump. The determinant of a complex matrix and Gershgorin circles. Electronic Journal of Linear Algebra (ELA), 35:181–186, 2019. (PDF) (doi:10.13001/1081-3810.3910)
- F. Bünger. Shrink wrapping for Taylor models revisited. Numerical Algorithms, 78(4):1001–1017, 2018. (doi:10.1007/s11075-017-0410-1)
- F. Bünger. A short note on the ratio between sign-real and sign-complex spectral radius of a real square matrix. Linear Algebra and its Applications, 529:126–132, 2017. (doi:10.1016/j.laa.2017.04.022)
- F. Bünger and S.M. Rump. Yet more elementary proofs that the determinant of a symplectic matrix is 1. Linear Algebra and its Applications (LAA), 515:87–95, 2017. (PDF) (doi:10.1016/j.laa.2016.11.014)
- F. Bünger and S.M. Rump. A short note on the convexity of interval matrix-vector products. Reliable Computing, 21:74–79, 2016. (PDF) (hdl.handle.net/11420/7816)
- K. Ozaki, F. Bünger, T. Ogita, S. Oishi, and S.M. Rump. Simple floating-point filters for the two-dimensional orientation problem. BIT Numerical Mathematics, 56(2):729–749, 2016. (PDF) (doi:10.1007/s10543-015-0574-9)
- K. Ozaki, T. Ogita, F. Bünger, and S. Oishi. Accelerating interval matrix multiplication by mixed precision arithmetic. Nonlinear Theory and its Applications, IEICE, 6(3):364–376, 2015. (doi:10.1587/nolta.6.364)
- S.M. Rump, F. Bünger, and C.-P. Jeannerod. Improved Error Bounds for Floating-Point Products and Horner's Scheme. BIT Numerical Mathematics, 56(1):293–307, 2015. (PDF) (doi:10.1007/s10543-015-0555-z)
- F. Bünger. A note on the boundary shape of matrix polytope products. Reliable Computing, 20:73–88, 2014. (PDF)
- F. Bünger. Inverses, determinants, eigenvalues, and eigenvectors of real symmetric Toeplitz matrices with linearly increasing entries. Linear Algebra and Its Applications (LAA), 459:595–619, 2014. (doi:10.1016/j.laa.2014.07.023)
- F. Bünger. On the zeros of eigenpolynomials of Hermitian Toeplitz matrices. Integral Equations and Operator Theory, 80(3):323–351, 2014. (doi:10.1007/s00020-014-2164-7)
- F. Bünger. Minimizing and maximizing the Euclidean norm of the product of two polynomials. Advances in Computational Mathematics, 35(2):193–215, 2011. (doi:10.1007/s10444-010-9158-z)
- F. Bünger. Verified solutions of two-point boundary value problems for nonlinear oscillators. Nonlinear Theory and its Applications (NOLTA), IEICE, E94-N(1), 2011. (doi:10.1587/nolta.2.90)
- F. Bünger and H. Herwig. An extended similarity theory applied to heated flows in complex geometries. Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 60(6):1095–1111, 2009. (doi:10.1007/s00033-009-8076-8)
- F. Bünger. Stationäre, laminare, inkompressible Nachlauf-Fernfeld-Strömungen. Diploma thesis, Universität Hamburg, 2008. (PDF)
- Z. Arad, F. Bünger, E. Fisman, and M. Muzychuk. Standard Integral Table Algebras with a Faithful Nonreal Element of Degree 5. Springer Lecture Notes in Mathematics, 1773:43–81, 2002. (doi:10.1007/3-540-45558-2_3)
- F. Bünger, F. Knüppel, and K. Nielsen. The product of two quadratic matrices. Linear Algebra and its Applications (LAA), 331:31–41, 2001. (doi:10.1016/S0024-3795(01)00277-4)
- F. Bünger and K. Nielsen. A matrix-decomposition theorem for GL(n,K). Linear Algebra and its Applications (LAA), 298:39–50, 1999. (doi:10.1016/S0024-3795(99)00138-X)
- F. Bünger. Involutionen als Erzeugende in unitären Gruppen. PhD thesis, Universität Kiel, 1997. (PDF)
- F. Bünger. Products of Involutions in Unitary Groups. In Proceedings of the 4th International Congress of Geometry, part II, pages 93–100, 1997.
- F. Bünger and F. Knüppel. Products of quasi-involutions in unitary groups. Geometria Dedicata, 65(3):313–321, 1997. (doi:10.1023/A:1004949119165)
- F. Bünger, F. Knüppel, and K. Nielsen. Products of symmetries in unitary groups. Linear Algebra and its Applications (LAA), 260:9–42, 1997. (doi:10.1016/S0024-3795(97)80003-1)
- F. Bünger. Produkte von Konjugiertenklassen in den Gruppen GL(V) und SL(V). Diploma thesis, Universität Kiel, 1994.