Projekt B6 | Theorie und Numerik von Aufgaben der linearen Algebra und diskreter dynamischer Systeme |
Project description | |
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in German language | in English language |
Members | |||
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Name | Office | Tel.* | |
Prof. Dr. Wolf-Jürgen Beyn | V5-151 | 4801 | beyn@Mathematik.Uni-Bielefeld.DE |
Prof. Dr. Ludwig Elsner | V5-147 | 4800 | elsner@Mathematik.Uni-Bielefeld.DE |
Priv.-Doz. Dr. Reinhard Nabben | V5-138 | 4785 | nabben@Mathematik.Uni-Bielefeld.DE |
Thorsten Hüls | V3-223 | 4977 | huels@Mathematik.Uni-Bielefeld.DE |
Dr. Jörg Liesen | V5-142 | 4786 | liesen@Mathematik.Uni-Bielefeld.DE |
Dr. Matthias Pott | V5-141 | 4798 | pott@Mathematik.Uni-Bielefeld.DE |
Dr. Ralf Siekmeyer | V3-225 | 4978 | siekmeye@Mathematik.Uni-Bielefeld.DE |
*All office telephone numbers are +49 (0)521 106 xxxx |
PreprintsSome preprints are online available.To get a gnu-zipped postscript-file of a paper, click on the title. To get only the abstract, click on the blue cube at the right side of the title. | |||
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Authors | Title | SFB-No. | Ab. |
Yu. A. Alpin, Ludwig Elsner, Khakim Ikramov | On Condensed Forms for Partially Commuting Matrices | 98-105 | ![]() |
Gregory S. Ammar, William B. Gragg | Schur Flows for orthogonal Hessenberg Matrices
Hamiltonian and gradient flows, algorithms and control, 27-34, Fields Inst. Commun., 3, Amer. Math. Soc., Providence (1994) | 92-084 | |
Gregory S. Ammar, Volker Mehrmann | On Hamiltonian and symplectic Hessenberg forms
Linear Algebra Appl. 149, 55-72 (1991) | 90-002 | |
Wolf-Jürgen Beyn | Numerical analysis of homoclinic orbits analysis emanating from a Takens-Bogdanov point
IMA Journal of Numerical Analysis 14, 381-410 (1994) | 92-065 | |
On smoothness and invariance properties of the Gauss-Newton method
Numerical Functional Analysis and Optimization 14, no. 5-6, 503-514 (1993) | 93-039 | ||
Wolf-Jürgen Beyn, Angelika Bunse-Gerstner, Volker Mehrmann, Reinhard Nabben, Matthias Pott | Workshop on Applied Linear Algebra | E99-001 | ![]() |
Wolf-Jürgen Beyn, Ludwig Elsner | Connecting Paracontractivity and Convergence of Products
appeared as Infinite products and paracontracting matrices in Electronic Journal of Linear Algebra 2, 1-8 (1997) | 96-074 | ![]() |
Wolf-Jürgen Beyn, Barnabas M. Garay | Estimates of Variable Stepsize Runge-Kutta Methods for Sectorial Evolution Equations with Nonsmooth Data | 99-065 | ![]() |
Wolf-Jürgen Beyn, Jan-Martin Kleinkauf | Numerical approximation of homoclinic chaos
Numerical Algorithms 14, no. 1-3, 25-53 (1997) | 96-024 | ![]() |
The numerical computation of homoclinic orbits for maps
SIAM Journal on Numerical Analysis 34, no. 3, 1207-1236 (1997) | 95-012 | ![]() | |
Wolf-Jürgen Beyn, Jens Lorenz | Stability of Traveling Waves: Dichotomies and Eigenvalue Conditions on Finite Intervals | 98-094 | ![]() |
Wolf-Jürgen Beyn, Johannes Schropp | Runge-Kutta Discretizations of Singularly Perturbed Gradient Equations | 99-047 | ![]() |
Wolf-Jürgen Beyn, Yongkui Zou | Invariant Manifolds for Non-autonomous Systems with Applications to One-step Methods
Journal of Dynamics and Differential Equations 10, 379-407 (1998) | 95-097 | ![]() |
Rajendra Bhatia | Matrix Factorisations and their Perturbations
Linear Algebra Appl. 197/198, 245-276 (1994) | 92-046 | |
Perturbation Bounds for the Operator Absolute Value
Linear Algebra Appl. 226-228, 639-645 (1995) | 94-059 | ![]() | |
Rajendra Bhatia, Ludwig Elsner | The Hoffman--Wielandt Inequality in Infinite Dimensions
Proceedings of the Indian Academy of Sciences, Mathematical Sciences 104, no. 3, 483-494 (1994) | 93-007 | |
On Joint Eigenvalues of Commuting Matrices
Canadian Mathematical Bulletin 39, no. 2, 164-168 (1996) | 94-089 | ![]() | |
The q-binomial theorem and spectral symmetry
Indagationes Mathematicae 4, no. 1, 11-16 (1993) | 91-091 | ||
Sensitivity of the Solutions of Some Matrix Equations | 97-106 | ![]() | |
Symmetries and Variation of Spectra
Canadian Journal of Mathematics 44, no. 6, 1155-1166 (1992) | 91-052 | ||
Rajendra Bhatia, Ludwig Elsner, Gerd M. Krause | Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix
Linear Algebra Appl. 142, 195-209 (1990) | 89-018 | |
Spectral Variation Bounds for Diagonalisable Matrices
Aequationes Mathematicae 54, no. 1-2, 102-107 (1997) | 94-098 | ![]() | |
Angelika Bunse-Gerstner, Ralph Byers, Volker Mehrmann | Numerical Methods for Simultaneous Diagonalization
SIAM Journal on Matrix Analysis 14, no. 4, 927-949 (1993) | 90-009 | |
Angelika Bunse-Gerstner, Ludwig Elsner | The Schur Parameter Form for the Solution of the Unitary Eigenproblem
appeared as Schur parameter pencils for the solution of the unitary eigenproblem in Linear Algebra Appl. 154-156, 741-778 (1991) | 90-018 | |
Angelika Bunse-Gerstner, Heike Faßbender | On the generalized Schur decomposition of a matrix pencil for parallel computation
SIAM Journal on Scientific and Statistical Computing 12, no. 4, 911-939 (1991) | 89-013 | |
Angelika Bunse-Gerstner, Chunyang He | On a Sturm Sequence of Polynomials for Unitary Hessenberg Matrices
SIAM Journal on Matrix Analysis and Applications 16, no. 4, 1043-1055 (1995) | 92-032 | |
Ludwig Elsner | Bounds for Determinants of Perturbed M-Matrices
Linear Algebra Appl. 257, 283-288 (1997) | 95-085 | ![]() |
The Generalized Spectral Radius Theorem: An Analytic-Geometric Proof
Linear Algebra Appl. 220, 151-160 (1995) | 93-047 | ||
Infinite products and paracontracting matrices | 93-058 | ![]() | |
Perturbation theorems for the joint spectrum of commuting matrices
Linear Algebra Appl. 208/209, 83-95 (1994) | 93-020 | ||
Some Observations on Inverses of Band Matrices and Low Rank Perturbations of Triangular Matrices | 99-025 | ![]() | |
Ludwig Elsner, Axel Fasse, Ellen Langmann | A Divide-and-Conquer Method for the Tridiagonal Generalized Eigenvalue Problem
Journal of Computational and Applied Mathematics 86, no. 1, 141-148 (1997) | 96-106 | ![]() |
Ludwig Elsner, Shmuel Friedland | The Limit of the Spectral Radius of Nonnegative Toeplitz Matrices | 98-079 | ![]() |
Norm conditions for convergence of infinite products
Linear Algebra Appl. 250, 133-142 (1997) | 95-004 | ![]() | |
Singular values and doubly stochastic matrices
appeared as Singular values, doubly stochastic matrices, and applications in Linear Algebra Appl. 220, 161-169 (1995) | 93-071 | ![]() | |
Variation of the discrete eigenvalues of normal operators
Proceedings of the American Mathematical Society 123, no.8, 2511-2517 (1995) | 93-057 | ![]() | |
Ludwig Elsner, Chunyang He | Perturbation and Interlace Theorems for the Unitary Eigenvalue Problem
Linear Algebra Appl. 188/189, 207-229 (1993) | 93-015 | |
Ludwig Elsner, Chunyang He, Volker Mehrmann | Minimization of the norm, the norm of the inverse and the condition number of a matrix by completion
Numerical Linear Algebra with Applications 2, no. 2, 155-171 (1995) | 92-028 | |
Minimizing the condition number of a positive definite matrix by completion
Numerische Mathematik 69, no. 1, 17-23 (1994) | 93-059 | ![]() | |
Ludwig Elsner, Daniel Hershkowitz | Bounds on Norms of the Adjoint Matrix | 97-041 | ![]() |
Hadamard Functions Preserving Nonnegative H-Matrices
Linear Algebra Appl. 279, 13-19 (1998) | 97-055 | ![]() | |
Ludwig Elsner, Khakim Ikramov | Normal Matrices: An Update | 97-003 | ![]() |
On a Condensed Form for Normal Matrices under Finite Sequences of Unitary Similarities
Linear Algebra Appl. 254, 79-98 (1997) | 94-077 | ![]() | |
On Nonnormal Matrices that can be Reduced to Bandform under finite Sequences of Elementary Unitary Similarities | 96-008 | ![]() | |
Ludwig Elsner, Zhongxiao Jia | Improving Eigenvectors in Arnoldis Method | 95-077 | ![]() |
Ludwig Elsner, Israel Koltracht, Michael Neumann | Convergence of Sequential and Asynchronous Nonlinear Paracontractions
Numerische Mathematik 62, no. 3, 305-319 (1992) | 91-076 | |
Ludwig Elsner, Israel Koltracht, Michael Neumann, D. Xiao | On Computations Of The Perron Root
appeared as On Accurate Computations Of The Perron Root in SIAM Journal on Matrix Analysis 14, no. 2, 456-467 (1993) | 91-063 | |
Ludwig Elsner, Volker Mehrmann | Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations
Numerische Mathematik 59, no. 6, 541-559 (1991) | 90-036 | |
Ludwig Elsner, Reinhard Nabben, Michael Neumann | Orthogonal Bases which Lead to Symmetric Nonnegative Matrices
Linear Algebra Appl. 271, 323-343 (1998) | 96-097 | ![]() |
Ludwig Elsner, Michael Neumann | Monotonic Sequences And Rates Of Convergence of Asynchronized Iterative Methods
Linear Algebra Appl. 180, 17-33 (1993) | 91-032 | |
Ludwig Elsner, Tomasz Szulc | Block P-Matrices
Linear and Multilinear Algebra 44, no.1, 1-12 (1998) | 96-001 | ![]() |
Ludwig Elsner, Pauline van den Driessche | On the Power Method in Max Algebra
to appear in Linear Algebra Appl. | 97-092 | ![]() |
Ludwig Elsner, David S. Watkins | Theory of Decompositions and Bulge-Chasing Algorithms for the Generalized Eigenvalue Problem
SIAM Journal on Matrix Analysis 15, no. 3, 943-967 (1994) | 91-117 | |
Jiang Erxiong | A Lower Bound for the Smallest Singular Value of a Jordan block and its Application | 91-118 | |
Ulrike Flaschka | Eine Variante des Lanczos-Algorithmus für symmetrische Matrizen mit Blockstruktur | 92-057 | |
Ulrike Flaschka, Volker Mehrmann, Dagmar Zywietz | An analysis of structure preserving numerical methods for symplectic eigenvalue problems
RAIRO Automatique-Productique Informatique Industrielle 25, no. 2, 165-189 (1991) | 89-002 | |
Shmuel Friedland, Reinhard Nabben | On the second real eigenvalue of nonnegative and Z-matrices
Lin. Alg. Appl. 255, 303-313 (1997) | 95-049 | ![]() |
Ton Geerts | Infinite-horizon Linear-Quadratic Control: A state-of-the art | 90-038 | |
Invertibility Properties Of Singular Systems: A Distributional Approach
appeared as Invariant subspaces and invertibility properties for singular systems: the general case in Linear Algebra Appl. 183, 61--88 (1993) | 91-033 | ||
Ton Geerts, Volker Mehrmann | Linear Differential Equations with Constant Coefficients: A Distributional Approach | 90-073 | |
Zhongxiao Jia | Arnoldi type algorithms for large unsymmetric multiple eigenvalue problems | 95-026 | ![]() |
The Convergence of Krylov Subspace Methods for Large Unsymmetric Linear Systems | 94-046 | ![]() | |
On IGMRES(q): Incomplete Generalized Minimal Residual Methods for Large Unsummetric Linear Systems | 94-047 | ![]() | |
On IOMs(q): Incomplete Orthogonalization Methods for Large Unsymmetric Linear Systems
Numerical Linear Algebra with Applications 3, no. 6, 491-512 (1996) | 94-050 | ![]() | |
Klaus Jürgens | Asynchrone Iterationsverfahren zur Lösung linearer Gleichungssysteme auf massiv parallelen Multiprozessorrechnern | 94-100 | ![]() |
Jan-Martin Kleinkauf | The Numerical Computation and Geometrical Analysis of Heteroclinic Tangencies | 98-048 | ![]() |
Superconvergence Estimates for the Numerical Computation of Heteroclinics for Maps | 98-052 | ![]() | |
Tino Koch Jörg Liesen | The Conformal Bratwurst Map and Polynomial Iterative Methods | 98-078 | ![]() |
Gerd M. Krause | Bounds for the Variation of Matrix Eigenvalues and Polynominal Roots
Linear Algebra Appl. 208/209, 73-82 (1994) | 93-011 | |
Jörg Liesen | Computable Convergence Bounds for GMRES | 98-043 | ![]() |
Volker Mehrmann | Workshop on Matrix Theory | E92-004 | |
Judith J. McDonald, Reinhard Nabben, Michael Neumann, Hans Schneider, Michael Tsatsomeros | Inverse Tridiagonal Z-Matrices | 97-002 | ![]() |
Reinhard Nabben | A characterization of M-matrices | 95-002 | ![]() |
Decay Rates of the Inverse of Nonsymmetric Tridiagonal and Band Matrices | 97-017 | ![]() | |
Matrices whose inverses are generalized M-matrices
Linear and Multilinear Algebra 44, no.1, 67-84 (1998) | 96-052 | ![]() | |
A note on comparison theorems of splittings and multisplittings of hermitean positive definite matrices
Linear Algebra Appl. 233, 67-80 (1996) | 94-017 | ![]() | |
On generalized H-matrices
appeared as On a class of matrices which arise in the numerical solution of Euler equations in Numerische Mathematik 63, no. 3, 411-431 (1992) | 91-044 | ||
Two Side Bounds on the Inverses of Diagonally Dominant Tridiagonal Matrices | 98-010 | ![]() | |
Z-matrices and inverse Z-matrices
Linear Algebra Appl. 256, 31-48 (1997) | 95-027 | ![]() | |
Reinhard Nabben, Richard S. Varga | A Sufficient Condition for every Class of Inverse Z-Matrices
appeared as On classes of inverse Z-matrices in Linear Algebra Appl. 223/224, 521-552 (1995) | 94-049 | ![]() |
Michael Neumann, Hans Schneider | Partial Norms and the Convergence of General Products of Matrices | 97-108 | ![]() |
Principal Components of M-Matrices
appeared as Principal components of minus M-matrices in Linear and Multilinear Algebra 32, no. 2, 131-148 (1992) | 90-057 | ||
Matthias Pott | A Note on the Best Tridiagonal Approximation for the Inverse of a Totally Nonnegative Matrix | 98-099 | ![]() |
On asynchronous Newton-iterative methods | 95-033 | ![]() | |
On asynchronous Newton-Schulz type methods | 95-034 | ![]() | |
On the convergence of asynchronous iteration methods for nonlinear paracontractions and consistent linear systems
to appear in Linear Algebra Appl. | 95-032 | ![]() | |
Tomasz Szulc | A Note on a criterion of Gudkov
appeared as Some remarks on a theorem of Gudkov in Linear Algebra Appl. 225, 221-235 (1995) | 90-095 |
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Fakultät für Mathematik
| Universität Bielefeld
| DFG-Schwerpunktprogramm Dynamische Systeme
| |