The convex analysis of unitarily invariant matrix functions.
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Displaying 1 – 14 of 14
The critical exponent of operators with constrained spectral radius
Zdeněk Dostál (1978)
Commentationes Mathematicae Universitatis Carolinae
The Gerschgorin discs under unitary similarity
Anna Zalewska-Mitura, Jaroslav Zemánek (1997)
Banach Center Publications
The intersection of the Gerschgorin regions over the unitary similarity orbit of a given matrix is studied. It reduces to the spectrum in some cases: for instance, if the matrix satisfies a quadratic equation, and also for matrices having "large" singular values or diagonal entries. This leads to a number of open questions.
The higher rank numerical range of nonnegative matrices
Aikaterini Aretaki, Ioannis Maroulas (2013)
Open Mathematics
In this article the rank-k numerical range ∧k (A) of an entrywise nonnegative matrix A is investigated. Extending the notion of elements of maximum modulus in ∧k (A), we examine their location on the complex plane. Further, an application of this theory to ∧k (L(λ)) of a Perron polynomial L(λ) is elaborated via its companion matrix C L.
The norm of the product of a large matrix and a random vector.
Böttcher, Albrecht, Grudsky, Sergei (2003)
Electronic Journal of Probability [electronic only]
The numerical Range of Matrix Polynomials
J. Maroulas, P. Psarrakos (1999)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
The optimal perturbation bounds for the weighted Moore-Penrose inverse.
Xu, Wei-Wei, Cai, Li-Xia, Li, Wen (2011)
ELA. The Electronic Journal of Linear Algebra [electronic only]
The Perturbation Bounds for Eigenspaces of a Definite Matrix-Pair
J. Sun (1983)
Numerische Mathematik
The q-numerical range of tridiagonal matrices.
Chien, Mao-Ting, Nakazato, Hiroshi (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
The spectral radii of an operator and its modulus
Vlastimil Pták (1976)
Commentationes Mathematicae Universitatis Carolinae
The Steinitz constant of the plane.
Wojciech Banaszczyk (1987)
Journal für die reine und angewandte Mathematik
Toeplitz band matrices with exponentially growing condition numbers.
Böttcher, A., Grudsky, S. (1999)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Transient behavior of powers and exponentials of large Toeplitz matrices.
Böttcher, Albrecht (2004)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Two applications of a bound on the Hadamard product with a Cauchy matrix.
Horn, Roger A., Kittaneh, Fuad (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Currently displaying 1 – 14 of 14
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