List of Publications of Ludwig Elsner
- Einschließungssätze für Eigenwerte nichtnormaler Matrizen
Dissertation Hamburg (1965)
- Zur Richardson-Extrapolation bei der Simpsonschen Integrationsformel
Zeitschrift für Angewandte Mathematik und Mechanik 46, Tagungsheft T 48 (1966)
- Einschließungssätze für Eigenwerte nichtnormaler Matrizen
Funktionalanalysis, Approximationstheorie, Numerische Mathematik pp. 185-193
Internationale Schriftenreihe Numerische Mathematik 7, Birkhäuser Verlag, Basel 1967
- (with Helmut Hasse)
Numerische Ergebnisse zum Jacobischen Kettenbruchalgorithmus in rein-kubischen Zahlkörpern
Mathematische Nachrichten 34, 95-97 (1967)
- (with Raymond Redheffer)
Remarks on Bandmatrices
Numerische Mathematik 10, 153-161 (1967)
- Minimale Gerschgorin-Kreise
Zeitschrift für Angewandte Mathematik und Mechanik 48, 51-55 (1968)
- Bemerkungen zu einer Arbeit von Marshall und Olkin
Numerische Mathematik 13, 245-246 (1969)
- Bemerkungen zum Zeilensummenkriterium
Zeitschrift für Angewandte Mathematik und Mechanik 49, 97 (1969)
- Monotonie und Randspektrum bei vollstetigen Operatoren
Archive for Rational Mechanics and Analysis 36, 356-365 (1970)
- Iterative Verfahren zur Lösung der Matrizengleichung X2 = A
Buletinul Institutului Politehnic din Iasi Tomul XVI (XX), 15-24 (1970)
- Über Eigenwerteinschließungen mit Hilfe von Gerschgorin-Kreisen
Zeitschrift für Angewandte Mathematik und Mechanik 50, 381-384 (1970)
- (with Karl Peter Hadeler)
Eigenwerteinschließungen mit Lorentzkegeln
Zeitschrift für Angewandte Mathematik und Mechanik 50, 427-429 (1970)
- Verfahren zur Berechnung des Spektralradius nichtnegativer irreduzibler Matrizen
Computing 8, 32-39 (1971)
- Bemerkung zur Eigenwertabschätzung bei gestörten Diagonalmatrizen
Zeitschrift für Angewandte Mathematik und Mechanik 51, 570 (1971)
- Verfahren zur Berechnung des Spektralradius nichtnegativer irreduzibler Matrizen II
Computing 9, 69-73 (1972)
- A Remark on Simultaneous Inclusions of the Zeros of a Polynomial by Gerschgorin's Theorem
Numerische Mathematik 21, 425-427 (1973)
- Über Birkhoff-Interpolation und Richardson-Extrapolation
Zeitschrift für Angewandte Mathematik und Mechanik 53, 57-60 (1973)
- Einschließungssätze für die Eigenwerte gestörter Dreiecksmatrizen
Numerische Behandlung von Eigenwertaufgaben pp. 33-45
Internationale Schriftenreihe Numerische Mathematik 24, Birkhäuser Verlag, Basel 1974
- Quasimonotonie und Ungleichungen in halbgeordneten Räumen
Linear Algebra Appl. 8, 249-261 (1974)
- (with Gerhard Merz)
Lineare Punktfunktionale und Hermite-Birkhoff-Interpolation
Beiträge zur Numerischen Mathematik 4, 69-82 (1975)
- A note on characterization of irreducibility of nonnegative matrices
Linear Algebra Appl. 14, 187-188 (1976)
- Inverse Iteration for Calculating the Spectral Radius of a Non-Negative Irreducible Matrix
Linear Algebra Appl. 15, 235-242 (1976)
- Another Note on a Theorem of Minc on Irreducible Non-Negative Matrices
Linear and Multilinear Algebra 6, 61-62 (1978)
- On Some Algebraic Problems in Connection with General Eigenvalue Algorithms
Linear Algebra Appl. 26, 123-138 (1979)
- Neuere Verfahren zur Bestimmung der Eigenwerte von Matrizen
Numerical mathematics pp. 91-96
International Series of Numerical Mathematics 49, Birkhäuser, Basel-Boston 1979
- (with Charles R. Johnson and Michael Neumann)
On the Effect of the Perturbation of a Nonnegative Matrix on its Perron Eigenvector
Czechoslovak Mathematical Journal 32 (107), 99-109 (1982)
- On matrices leaving invariant a nontrivial convex set
Linear Algebra Appl. 42, 103-107 (1982)
- On the Variation of the Spectra of Matrices
Linear Algebra Appl. 47, 127-138 (1982)
- (with Ji Guang Sun)
Perturbation Theorems for the Generalized Eigenvalue Problem
Linear Algebra Appl. 48, 341-357 (1982)
- (with Pal Rozsa)
On eigenvectors and adjoints of modified matrices
Linear and Multilinear Algebra 10, 235-247 (1981)
- (with Charles R. Johnson, J. Ross, and J. Schönheim)
On a Generalized Matching Problem Arising in Estimating the Eigenvalue Variation of Two Matrices
European Journal of Combinatorics 4, 133-136 (1983)
- Block Scaling with Optimal Euclidean Condition
Linear Algebra Appl. 58, 69-73 (1984)
- On Convexity Properties of the Spectral Radius of Nonnegative Matrices
Linear Algebra Appl. 61, 31-35 (1984)
- A note on Optimal Block-Scaling of Matrices
Numerische Mathematik 44, 127-128 (1984)
- (with Peter Lancaster)
The Spectral Variation of Pencils of Matrices
Journal of Computational Mathematics 3, no. 3, 262-274 (1985)
- An Optimal Bound for the Spectral Variation of Two Matrices
Linear Algebra Appl. 71, 77-80 (1985)
- Perturbation Theorems for the Matrix Eigenvalue Problem
Portugaliae Mathematica 43, 69-76 (1986)
- (with M.H.C. Paardekooper)
On Measures on Non-normality of matrices
Linear Algebra Appl. 92, 107-123 (1987)
- (with Charles R. Johnson)
The relationship between Hadamard and conventional Multiplication for Positive Definite Matrices
Linear Algebra Appl. 92, 231-240 (1987)
- (with Rafael Bru and Michael Neumann)
Models of Parallel chaotic Iteration Methods
Linear Algebra Appl. 103, 175-192 (1988)
- A note on the variation of permanents
Linear Algebra Appl. 109, 37-39 (1988)
- (with David S. Watkins)
Selfsimilar flows
Linear Algebra Appl. 110, 213-242 (1988)
- (with Charles R. Johnson and J.A. Dias da Silva)
The Perron Root of a weighted geometric mean of nonnegative matrices
Linear and Multilinear Algebra 24, 1-13 (1988)
- (with David S. Watkins)
Selfequivalent flows associated with the generalized eigenvalue problems
Linear Algebra Appl. 118, 107-127 (1989)
- (with Charles R. Johnson)
Nonnegative Matrices, Zero Patters, and Spectral inequalities
Linear Algebra Appl. 120, 225-236 (1989)
- (with Volker Mehrmann)
Priority Vectors for Matrices of pairwise Comparisons
Methods of Operations Research 59, 15-26 (1989)
- (with Wolfgang Dahmen)
Algebraic Multigrid Methods and the Schur Complement
Notes on Numerical Fluid Mechanics 23, 58-68 (1989)
- Comparisons of Weak Regular Splittings and Multisplittings Methods
Numerische Mathematik 56, 283-289 (1989)
- (with David S. Watkins)
Selfequivalent flows associated with the Singular value decomposition
SIAM Journal on Matrix Analysis 10, 244-258 (1989)
- (with Daniel Hershkowitz and Allan Pinkus)
Functional Inequalities for Spectral Radii of Nonnegative Matrices
Linear Algebra Appl. 129, 103-130 (1990)
- (with Israel Koltracht and Michael Neumann)
On the convergence of asynchronous paracontractions with applications to tomographic reconstruction from incomplete data
Linear Algebra Appl. 130, 65-82 (1990)
- (with Rajendra Bhatia and 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)
and Preprint 89-018, SFB 343
- (with Rajendra Bhatia)
On the variation of permanents
Linear and Multilinear Algebra 27, 105-109 (1990)
- (with Charles R. Johnson and Erik A. Schreiner)
Eigenvalue Neutrality in Block Triangular Matrices
Linear and Multilinear Algebra 27, 289-297 (1990)
- (with David S. Watkins)
On Rutishausers Approach to Selfsimilar flows
SIAM Journal on Matrix Analysis 11, 301-311 (1990)
- (with David S. Watkins)
Convergence of Algorithms of Decomposition Type for the Eigenvalue Problem
Linear Algebra Appl. 143, 19-47 (1991)
- (with Michael Neumann and Birgit Vemmer)
The effect of the Number of Processors on the convergence of the Parallel Block Jacobi Method
Linear Algebra Appl. 154-156, 313-330 (1991)
- (with Angelika Bunse-Gerstner)
Schur Parameter Pencils for the Solution of the Unitary Eigenproblem
Linear Algebra Appl. 154-156, 741-778 (1991)
and Preprint 90-018, SFB 343
- (with Israel Koltracht and Peter Lancaster)
Convergence properties of ART and SOR algorithms
Numerische Mathematik 59, 91-106 (1991)
- (with Volker Mehrmann)
Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations
Numerische Mathematik 59, 541-559 (1991)
and Preprint 90-036, SFB 343
- (with David S. Watkins)
Chasing algorithms for the Eigenvalue Problem
SIAM Journal on Matrix Analysis 12, 374-384 (1991)
- (with Chunyang He)
An Algorithm for computing the distance to uncontrollability
Systems and Control Letters 17, 453-464 (1991)
- (with Rajendra Bhatia)
Symmetries and Variation of Spectra
Canadian Journal of Mathematics 44, 1155-1166 (1992)
and Preprint 91-052, SFB 343
- (with Israel Koltracht and Michael Neumann)
Convergence of sequential and asynchronous nonlinear paracontractions
Numerische Mathematik 62, 305-319 (1992)
and Preprint 91-076, SFB 343
- (with Rajendra Bhatia)
The q -binomial theorem and spectral symmetry
Indagationes Mathematicae 4, 11-16 (1993)
and Preprint 91-091, SFB 343
- (with Michael Neumann)
Monotonic Sequences and Rates of Convergence of asynchronized Iterative Methods
Linear Algebra Appl. 180, 17-33 (1993)
and Preprint 91-032, SFB 343
- A note on the Hoffman-Wielandt theorem
Linear Algebra Appl. 182, 235-237 (1993)
- (with Chunyang He)
Perturbation and interlace theorems for the unitary eigenvalue problem
Linear Algebra Appl. 188/189, 207-229 (1993)
and Preprint 93-015, SFB 343
- (with Daniel Hershkowitz and Hans Schneider)
Spectral radii of certain iteration matrices and cycle means of digraphs
Linear Algebra Appl. 192, 61-81 (1993)
- (with Israel Koltracht, Michael Neumann, and D. Xiao)
On Accurate Computations of the Perron Root
SIAM Journal on Matrix Analysis 14, 456-467 (1993)
and Preprint 91-063, SFB 343
- (with Rafael Bru and Michael Neumann)
Convergence of infinite products of matrices and inner-outer iteration schemes
Electronic Transactions on Numerical Analysis 2, 183-193 (1994)
- (with Chunyang He and Volker Mehrmann)
Completion of a matrix so that the inverse has minimum norm. Application to the regularization of descriptor control problems
IMA Volumes in Mathematics and its Applications 62, 75-86 (1994)
- Perturbation theorems for the joint spectrum of commuting matrices - a conservative approach
Linear Algebra Appl. 208/209, 83-95 (1994)
and Preprint 93-020, SFB 343
- (with Chunyang He and Volker Mehrmann)
Minimizing the condition number of a positive definite matrix by completion
Numerische Mathematik 69, 17-23 (1994)
and Preprint 93-059, SFB 343
- (with Rajendra Bhatia)
The Hoffman-Wielandt inequality in infinite dimensions
Proceedings of the Indian Academy of Sciences, Mathematical Sciences 104, 483-494 (1994)
and Preprint 93-007, SFB 343
- (with David S. Watkins)
Theory of decomposition and bulge-chasing algorithms for the generalized eigenvalue problem
SIAM Journal on Matrix Analysis 15, 943-967 (1994)
and Preprint 91-117, SFB 343
- The generalized spectral radius theorem: an analytic-geometric proof
Linear Algebra Appl. 220, 151-160 (1995)
and Preprint 93-047, SFB 343
- (with Shmuel Friedland)
Singular values, doubly stochastic matrices, and applications
Linear Algebra Appl. 220, 161-169 (1995)
and Preprint 93-071, SFB 343
- (with Chunyang He and 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)
and Preprint 92-028, SFB 343
- (with Shmuel Friedland)
Variation of the discrete eigenvalues of normal operators
Proceedings of the American Mathematical Society 123, no.8, 2511-2517 (1995)
and Preprint 93-057, SFB 343
- (with Rajendra Bhatia)
On joint eigenvalues of commuting matrices
Canadian Mathematical Bulletin 39, no. 2, 164-168 (1996)
and Preprint 94-089, SFB 343
- (with Rajendra Bhatia and Gerd M. Krause)
Spectral variation bounds for diagonalisable matrices
Aequationes Mathematicae 54, 102-107 (1997)
and Preprint 94-098, SFB 343
- (with Wolf-Jürgen Beyn)
Infinite products and paracontracting matrices
Electronic Journal of Linear Algebra 2, 1-8 (1997)
and Preprint 96-074, SFB 343
- (with Axel Fasse and Ellen Langmann)
A Divide-and-Conquer Method for the Tridiagonal Generalized Eigenvalue Problem
Journal of Computational and Applied Mathematics 86, 141-148 (1997)
and Preprint 96-106, SFB 343
- (with Shmuel Friedland)
Norm conditions for convergence of infinite products
Linear Algebra Appl. 250, 133-142 (1997)
and Preprint 95-004, SFB 343
- (with Khakim Ikramov)
On a condensed form for normal matrices under finite sequences of unitary similarities
Linear Algebra Appl. 254, 79-98 (1997)
and Preprint 94-077, SFB 343
- Bounds for Determinants of Perturbed M-Matrices
Linear Algebra Appl. 257, 283-288 (1997)
and Preprint 95-085, SFB 343
- (with Rajendra Bhatia and Peter Semrl)
Distance between commuting tuples of normal operators
Archiv der Mathematik 71, 229-232 (1998)
- (with Lixing Han, Israel Koltracht, Michael Neumann and Mori Zippin)
On a polygon equality problem
Journal of Mathematical Analysis and Applications 223, 67-75 (1998)
- (with Khakim Ikramov)
On normal matrices with normal principal submatrices
Journal of Mathematical Sciences 89, 1631-1651 (1998)
- (with Christoph Giersch)
Metabolic Control Analysis: Separable Matrices and Interdependence of Control Coefficients
Journal of Theoretical Biology 193, 649-661 (1998)
- (with Reinhard Nabben and Michael Neumann)
Orthogonal Bases which Lead to Symmetric Non-negative Matrices
Linear Algebra Appl. 271, 323-343 (1998)
and Preprint 96-097, SFB 343
- (with Daniel Hershkowitz)
Hadamard functions preserving nonnegative H-matrices
Linear Algebra Appl. 279, 13-19 (1998)
and Preprint 97-055, SFB 343
- (with Khakim Ikramov)
Normal matrices: an update
Linear Algebra Appl. 285, 291-303 (1998)
and Preprint 97-003, SFB 343
- (with Tomasz Szulc)
Block P-matrices
Linear and Multilinear Algebra 44, 1-12 (1998)
and Preprint 96-001, SFB 343
- (with Tomasz Szulc)
Convex combinations of matrices - nonsingularity and Schur stability characterizations
Linear and Multilinear Algebra 44, 301-312 (1998)
- (with Khakim Ikramov)
On matrices admitting unitary reduction to band form
Mathematical Notes 64, 871-880 (1998) (in Russian)
Mathematical Notes 64, 753-760 (1998) (in English)
- (with Pauline van den Driessche)
On the power method in max-algebra
Linear Algebra Appl. 302-303, 17-32(1999)
and Preprint 97-092, SFB 343
- (with Shmuel Friedland)
The limit of the spectral radius of nonnegative Toeplitz matrices
Integral Equations and Operator Theory, 36, 193-200 (2000)
- (with Daniel Hershkowitz and Hans Schneider)
Bounds on norms of compound matrices and on products of eigenvalues
Bulletin of the London Mathematical Society, 32, 15-24 (2000)
- Some observations on inverses of band matrices and low rank perturbations of triangular matrices
Acta technica Acad. Sci. Hung. 108(1-2), 41-48 (1997-1999)
 
- (with Tomasz Szulc)
Convex sets of Schur stable and Stable Matrices
Linear and Multilinear Algebra 48, 1-19 (2000)
 
- (with Khakim Ikramov and Yu. Alpin)
On condensed forms for partially commuting matrices
Linear Algebra Appl. 306, 165-182 (2000)
 
- (with Alexander Vladimirov and Wolf-Jurgen Beyn)
Stability and Paracontractivity of Discrete Linear Inclusions
Linear Algebra Appl. 312, 125-134 (2000)
 
- (with Pauline van den Driessche)
Modifying the power method in max-algebra
Linear Algebra Appl. 332-334, 1-13 (2001)
 
- (with Zhiming Gong and M. Aldeen)
A note on a generalized Cramer's rule
Linear Algebra Appl. 340, 153-254 (2002)
 
- (with S. Friedland)
Conjectures and remarks on the limit of the spectral radius of nonnegative and block Toeplitz Matrices
Contemporary Mathematics 280, 321-327 (2001)
 
- (with Wen Li and Linzhang Lu)
Comparisons of spectral radii and the Theorem of Stein-Rosenberg
Linear Algebra Appl. to appear
 
- (with A. Frommer, R. Nabben, H. Schneider and D. Szyld)
Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices
Linear Algebra Appl. to appear
 
- (with Daniel Hershkowitz)
On the spectra of close-to-Schwarz matrices
Linear Algebra Appl. to appear
 
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siekmeye@Mathematik.Uni-Bielefeld.DE - Last changes: 2000/9/4