Results 21 to 30 of about 480 (138)
Condicionamiento y alta precisión en problemas espectrales estructurados [PDF]
Esta memoria trata dos aspectos relacionados con la precisión de algoritmos espectrales para problemas matriciales estructurados: 1) Se definen números de condición estructurados de autovalores múltiples, eventualmente defectivos, y se obtienen fórmulas ...
Peláez Montalvo, María José
core
A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley +1 more source
Unitarily invariant valuations on convex functions
Abstract Continuous, dually epi‐translation invariant valuations on the space of finite‐valued convex functions on Cn$\mathbb {C}^n$ that are invariant under the unitary group are investigated. It is shown that elements belonging to the dense subspace of smooth valuations admit a unique integral representation in terms of two families of Monge–Ampère ...
Jonas Knoerr
wiley +1 more source
Rank properties of subspaces of symmetric and Hermitian matrices over finite fields
International audienceWe investigate constant rank subspaces of symmetric and Hermitian matrices over finite fields, using a double counting method related to the number of common zeros of the corresponding subspaces of symmetric bilinear and Hermitian ...
Sheekey, John +5 more
core +1 more source
Entropy rigidity for cusped Hitchin representations
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
wiley +1 more source
On the eigenstructure of hermitian Toeplitz matrices with prescribed eigenpairs [PDF]
In this paper we concern the spectral properties of hermitian Toeplitz matrices. Based on the fact that every centrohermitian matrix can be reduced to a real matrix by a simple similarity transformation, we first consider the eigenstructure of ...
Liu Zhongyun, Li Jing, Zhang Yulin
core
Hermitian completions of band matrices and applications
Linear fractional descriptions are given for Hermitian completions of partial banded matrices with prescribed Cholesky signatures (an inertia related notion).
Hugo J. Woerdeman +3 more
core +1 more source
The Block Preconditioned SOR Method for Solving Indefinite Complex Linear Systems
ABSTRACT In this paper we extend the theory of a block preconditioned SOR method studied by Hezari, Edalaptour, and Salkuyeh (2015) for the solution of indefinite complex linear systems. In particular, we consider the case where the key matrix S$$ S $$ has real eigenvalues which lie in (−∞,+∞)$$ \left(-\infty, +\infty \right) $$ and not only in [0,+∞)$$
M. A. Louka, N. M. Missirlis
wiley +1 more source
Positive definite Hermitian matrices and reproducing kernels
Some quadratic identities associated with positive definite Hermitian matrices are derived by use of the theory of reproducing kernels. For example, the following identity is obtained: Let{Aj}mj=1 be N × N positive definite Hermitian matrices.
Saitoh, Saburou, Saburou Saitoh
core +1 more source
Analyzing the Free States of one Quantum Resource Theory as Resource States of Another
The article investigates how free states in one quantum resource theory can become highly resourceful in another. It systematically studies multipartite entanglement, fermionic non‐Gaussianity, imaginarity, realness, spin coherence, Clifford non‐stabilizerness, Sn‐equivariance, and non‐uniform entanglement, combining rigorous analytical tools and ...
Andrew E. Deneris +5 more
wiley +1 more source

