SPECTRAL RADIUS PRESERVERS OF PRODUCTS OF NONNEGATIVE MATRICES ∗ (2009)
Sean Clark, Chi-kwong Li, Leiba Rodman
Abstract. A characterization of nonlinear spectral radius preserving maps is obtained for the usual and triple products of nonnegative matrices. 1.
On common invariant cones for families of matrices (2009)
Rodman, Leiba, Seyalioglu, Hakan, Spitkovsky, Ilya M.
The existence and construction of common invariant cones for families of real matrices is considered. The complete results are obtained for 2x2 matrices (with no additional restrictions) and for...
Check-in Nathan, Hale Inn Lobby, Leiba Rodman, Eduard Tsekanovskii, Miron Bekker
The continuous analogue of the resultant for entire matrix functions coffee break A Semiplenary talk, Chair: M.A.Kaashoek 10:40 – 11:20 Joseph Ball Multidimensional system theory, Lax-Phillips...
H-UNITARY AND LORENTZ MATRICES: A REVIEW (2008)
Abstract. Many properties of H-unitary and Lorentz matrices are derived using elementary methods. Complex matrices which are unitary with respect to the indefinite inner product induced by an...
INVERSE CLOSED RAY-NONSINGULAR CONES OF MATRICES (2008)
Abstract. A description is given of those ray-patterns, which will be called inverse closed ray-nonsingular, of complex matrices that contain invertible matrices only and are closed under inversion....
Robert M. Guralnick, Chi-kwong Li, Leiba Rodman
Abstract. Descriptions are given of multiplicative maps on complex and real matrices that leave invariant a certain function, property, or set of matrices: norms, spectrum, spectral radius,...
Operators with numerical range in a closed halfplane (2008)
Wai-shun Cheung, Chi-kwong Li, Leiba Rodman
Various characterizations are given of real and complex Hilbert space operators with the numerical range in a closed halfplane. Key words: Numerical range, pairs of selfadjoint operators. Mathematics...
We study the possible determinant values of various classes of n×n zero-one matrices with fixed row and column sums. Some new results, open problems, and conjectures are presented.
Brian Lins, Patrick Meade, Christian Mehl, Leiba Rodman
Normal matrices with respect to indefinite inner products are studied using the additive decomposition into selfadjoint and skewadjoint parts. In particular, several structural properties of...
Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman
Dedicated with respect and affection to Professor M. A. Kaashoek on the occasion of his 60-th birthday We study connections between operator theoretic properties of Toeplitz operators acting on...
Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman
Problems of Nehari type are studied for matrix valued k-variable almost periodic Wiener functions: Find contractive k-variable almost periodic Wiener functions having prespecified Fourier...
Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman
We consider Toeplitz operators with symbols that are almost periodic matrix functions of several variables. It is shown that under certain conditions on the group generated by the Fourier support of...
Determinants of Certain Classes of Zero-One Matrices with Equal Line Sums (2007)
Chi-kwong Li, L. Rodman, Leiba Rodman
We study the possible determinant values of various classes of n × n zero-one matrices with fixed row and column sums. Some new results, open problems, and conjectures are presented.
Exponential Stability of Triangular Differential Inclusion Systems (2007)
Nir Cohen, Izchak Lewkowicz, Leiba Rodman
We consider a differential inclusion system of the form x 2 Ax, where A is a collection of upper triangular matrices. Conditions for exponential stability of all the possible solutions are given. I....
On Generalized Numerical Ranges of Quadratic Operators (2006)
Rodman, Leiba, Spitkovsky, Ilya M.
It is shown that the result of Tso-Wu on the elliptical shape of the numerical range of quadratic operators holds also for the essential numerical range. The latter is described quantitatively, and...
On Matrix Polynomials with Real Roots (2004)
Gurvits, Leonid, Rodman, Leiba
It is proved that the roots of combinations of matrix polynomials with real roots can be recast as eigenvalues of combinations of real symmetric matrices, under certain hypotheses. The proof is based...
Multiplicative preservers of C-numerical ranges and radii (2004)
Multiplicative preservers of C-numerical ranges and radii on certain groups and semigroups of complex n × n matrices are characterized. The general and special linear groups are considered, as well...
Stability of polar decompositions (2000)
Ran, Andre C. M., Rodman, Leiba
Certain continuity properties of the factors in generalized polar decompositions of real and complex matrices are studied. A complete characterization is given of those generalized polar...
Convergence Of Polynomially Bounded Semigroups Of Matrices (1997)
. It is proved that for polynomially bounded sets of matrices the notions of pointwise convergence and uniform convergence coincide. This result is also proved for certain sets of nonlinear maps on...
Dedicated to Tom Laffey on the occasion of his 65th birthday Let M + n be the set of entrywise nonnegative n × n matrices. Denote by r(A) the spectral radius (Perron root) of A ∈ M + n....