Results 61 to 70 of about 4,765 (143)

Local Convergence of Proximal Splitting Methods for Rank Constrained Problems

open access: yes, 2017
We analyze the local convergence of proximal splitting algorithms to solve optimization problems that are convex besides a rank constraint. For this, we show conditions under which the proximal operator of a function involving the rank constraint is ...
Giselsson, Pontus, Grussler, Christian
core   +1 more source

Sensitivity of Perron and Fiedler Eigenpairs to Structural Perturbations of a Network

open access: yesNumerical Linear Algebra with Applications, Volume 32, Issue 5, October 2025.
ABSTRACT One can estimate the change of the Perron and Fiedler values for a connected network when the weight of an edge is perturbed by analyzing relevant entries of the Perron and Fiedler vectors. This is helpful for identifying edges whose weight perturbation causes the largest change in the Perron and Fiedler values.
Silvia Noschese, Lothar Reichel
wiley   +1 more source

Further refinements of the Cauchy-Schwarz inequality for matrices [PDF]

open access: yes, 2014
Let $A, B$ and $X$ be $n\times n$ matrices such that $A, B$ are positive semidefinite. We present some refinements of the matrix Cauchy-Schwarz inequality by using some integration techniques and various refinements of the Hermite--Hadamard inequality ...
Bakherad, Mojtaba
core  

Dirac–Schrödinger operators, index theory and spectral flow

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract In this article, we study generalised Dirac–Schrödinger operators in arbitrary signatures (with or without gradings), providing a general KK$\textnormal {KK}$‐theoretic framework for the study of index pairings and spectral flow. We provide a general Callias Theorem, which shows that the index (or the spectral flow, or abstractly the K ...
Koen van den Dungen
wiley   +1 more source

On perturbations of the isometric semigroup of shifts on the semiaxis [PDF]

open access: yes, 2012
We study perturbations $(\tilde\tau_t)_{t\ge 0}$ of the semigroup of shifts $(\tau_t)_{t\ge 0}$ on $L^2(\R_+)$ with the property that $\tilde\tau_t - \tau_t$ belongs to a certain Schatten-von Neumann class $\gS_p$ with $p\ge 1$.
Amosov, G. G.   +2 more
core  

A note on the magnetic Steklov operator on functions

open access: yesMathematika, Volume 71, Issue 4, October 2025.
Abstract We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We provide equivalent characterizations of magnetic Steklov operators which are unitarily equivalent to the classical Steklov operator and study bounds for the ...
Tirumala Chakradhar   +3 more
wiley   +1 more source

Quantum Powers and Primitive Ontology

open access: yesPhilosophy Compass, Volume 20, Issue 8, August 2025.
ABSTRACT This article surveys recent work on primitive ontology (PO) approaches to quantum mechanics, focusing on proposals that seek to integrate this approach with the metaphysics of causal powers. PO approaches aim to provide a clear metaphysical picture in which the world consists of local entities such as particles, matter density fields or ...
William M. R. Simpson
wiley   +1 more source

Some operator inequalities for unitarily invariant norms

open access: yesAnnals of Functional Analysis, 2017
This note aims to present some operator inequalities for unitarily invariant norms. First, a Zhan-type inequality for unitarily invariant norms is given. Moreover, some operator inequalities for the Cauchy–Schwarz type are also established.
Zhao, Jianguo, Wu, Junliang
openaire   +2 more sources

What can we Learn from Quantum Convolutional Neural Networks?

open access: yesAdvanced Quantum Technologies, Volume 8, Issue 7, July 2025.
Quantum Convolutional Neural Networks have been long touted as one of the premium architectures for quantum machine learning (QML). But what exactly makes them so successful for tasks involving quantum data? This study unlocks some of these mysteries; particularly highlighting how quantum data embedding provides a basis for superior performance in ...
Chukwudubem Umeano   +3 more
wiley   +1 more source

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