Obere Schranken für Eigenwerte von Eigenwertaufgaben der Form (...2 I Â?...A Â? B) x = 0 . - Upper Bounds for Eigenvalues of Quadratic Eigenvalue Problem.
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Displaying 1 – 20 of 35
On a Class of Jacobi-Like Procedures for Diagonalising Arbitrary Real Matrices.
K. Veselic (1979)
Numerische Mathematik
On a class of nonlinear eigenvalue problems
Karl P. Hadeler (1974)
Acta Universitatis Carolinae. Mathematica et Physica
On a devil’s staircase associated to the joint spectral radii of a family of pairs of matrices
Ian D. Morris, Nikita Sidorov (2013)
Journal of the European Mathematical Society
The joint spectral radius of a finite set of real matrices is defined to be the maximum possible exponential rate of growth of products of matrices drawn from that set. In previous work with K. G. Hare and J. Theys we showed that for a certain one-parameter family of pairs of matrices, this maximum possible rate of growth is attained along Sturmian sequences with a certain characteristic ratio which depends continuously upon the parameter. In this note we answer some open questions from that paper...
On a Lyapunov type equation related to parabolic spectral dichotomy.
Ali, Mouhamad Al Sayed, Sadkane, Miloud (2006)
ELA. The Electronic Journal of Linear Algebra [electronic only]
On a New Class of Elementary Matrices.
K. Veselic (1979)
Numerische Mathematik
On Condition Numbers and the Distance to the Nearest Ill-posed Problem.
James Weldon Demmel (1987)
Numerische Mathematik
On condition numbers of a nondefective multiple eigenvalue.
Ji-guang Sun (1992)
Numerische Mathematik
On decomposition of k-tridiagonal ℓ-Toeplitz matrices and its applications
A. Ohashi, T. Sogabe, T.S. Usuda (2015)
Special Matrices
We consider a k-tridiagonal ℓ-Toeplitz matrix as one of generalizations of a tridiagonal Toeplitz matrix. In the present paper, we provide a decomposition of the matrix under a certain condition. By the decomposition, the matrix is easily analyzed since one only needs to analyze the small matrix obtained from the decomposition. Using the decomposition, eigenpairs and arbitrary integer powers of the matrix are easily shown as applications.
On Efficient Implementations of Kogbetliantz's Algorithm for Computing the Singular Value Decomposition.
J.P. Charlier, M. Vanbegin, P. Van Dooren (1987/1988)
Numerische Mathematik
On graded QR decompositions of products of matrices.
Stewart, G.W. (1995)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
On Minimal Gerschgorin Sets for Families of Norms.
Richard S. Varga, Bernard W. Levinger (1972/1973)
Numerische Mathematik
On Neighbouring Matrices with Quadratic Elementary Divisors.
J.H. Wilkinson (1984)
Numerische Mathematik
On quadratic convergence bounds for the J-symmetric Jacobi method.
Vjeran Hari, Zlatko Drmac (1993)
Numerische Mathematik
On relations between right and left eigenvectors of nonselfadjoint matrix pencils
R. Zezula, J. Roček, A. Miasnikov (1977)
Acta Universitatis Carolinae. Mathematica et Physica
On sharp quadratic convergence bounds for the serial Jacobi methods.
Vjeran Hari (1991/1992)
Numerische Mathematik
On Some new Inclusion Theorems for the Eigenvalues of Partitioned Matrices.
K. Veselic, D. Meyer (1980)
Numerische Mathematik
On spectral variations under bounded real matrix perturbations.
D. Hinrichsen, A.J. Pritchard (1991/1992)
Numerische Mathematik
On the Approximative Construction of the Eigenvectors Corresponding to a Pair of Complex Conjugated Eigenvalues
Ivo Marek (1964)
Matematicko-fyzikálny časopis
On the Computation of Inclusion Regions for Partitioned Matrices.
R.L. Johnston, D.D. Olesky (1972)
Numerische Mathematik
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