Obtaining bounds on the two norm of a matrix from the splitting lemma.
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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 convergence of infinite matrix products.
Holtz, Olga (2000)
ELA. The Electronic Journal of Linear Algebra [electronic only]
On Gaps Between Bounded Operators
Dragana Cvetković (2002)
Publications de l'Institut Mathématique
On generalized Hermite matrix polynomials.
Sayyed, K. A. M., Metwally, M. S., Batahan, Raed S. (2003)
ELA. The Electronic Journal of Linear Algebra [electronic only]
On Matrix Norms and Logarithmic Norms.
E. Deutsch (1975)
Numerische Mathematik
On means of positive definite matrices
Theodore Töllis (1987)
Czechoslovak Mathematical Journal
On minimal norms on .
Mirzavaziri, Madjid, Moslehian, Mohammad Sal (2007)
Abstract and Applied Analysis
On orderings induced by the Loewner partial ordering
Jan Hauke, Augustyn Markiewicz (1994)
Applicationes Mathematicae
The partial ordering induced by the Loewner partial ordering on the convex cone comprising all matrices which multiplied by a given positive definite matrix become nonnegative definite is considered. Its relation to orderings which are induced by the Loewner partial ordering of the squares of matrices is presented. Some extensions of the latter orderings and their comparison to star orderings are given.
On some matrix trace inequalities.
Ulukök, Zübeyde, Türkmen, Ramazan (2010)
Journal of Inequalities and Applications [electronic only]
On submultiplicative nonnegative functionals on linear maps of linear finitedimensional normed spaces
Jaroslav Kurzweil (1972)
Czechoslovak Mathematical Journal
On the 2-norm distance from a normal matrix to the set of matrices with a multiple zero eigenvalue.
Ikramov, Kh.D., Nazari, A.M. (2005)
Zapiski Nauchnykh Seminarov POMI
On the approximation numbers of large Toeplitz matrices.
Böttcher, A. (1997)
Documenta Mathematica
On the bounds for the spectral and norms of the Khatri-Rao product of Cauchy-Hankel matrices.
Civciv, Hacı, Türkmen, Ramazan (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
On the Davis-Kahan-Weinberger Solution of the Norm-Preserving Dilation Problem.
Jean Meinguet (1986)
Numerische Mathematik
On the estimation of the -numerical range of monic matrix polynomials.
Psarrakos, Panayiotis J. (2004)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
On the Frobenius condition number of positive definite matrices.
Türkmen, Ramazan, Ulukök, Zübeyde (2010)
Journal of Inequalities and Applications [electronic only]
On the function .
Fannes, Mark, Petz, Dénes (2002)
International Journal of Mathematics and Mathematical Sciences
On the Geometry of Positive Maps in Matrix Algebras.
Toshiyuki Takasaki, Jun Tomiyama (1983)
Mathematische Zeitschrift
On the Hölder continuity of matrix functions for normal matrices.
Wihler, Thomas P. (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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