Results 61 to 70 of about 19,389 (202)
Low-Rank Inducing Norms with Optimality Interpretations
, 2018 Optimization problems with rank constraints appear in many diverse fields such as control, machine learning and image analysis. Since the rank constraint is non-convex, these problems are often approximately solved via convex relaxations.
Giselsson, Pontus, Grussler, Christian
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Dirac–Schrödinger operators, index theory and spectral flow
Journal 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
Unitarily invariant norms related to factors
, 2007 42 pages, the introduction is rewritten, minor ...
Fang, Junsheng, Hadwin, Don
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A note on the magnetic Steklov operator on functions
Mathematika, 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
Zhejiang Daxue xuebao. Lixue ban, 2018 MENG等给出了 {1，3}-和{1，4}-逆在谱范数和Frobenius范数下的加法和乘法扰动界，本文研究了 {1，3}-和{1,4}-逆在一般的酉不变范数下的加法和乘法扰动界，所得结果推广和改进了已有文献中的相关结果.
MENGLingsheng(孟令胜)
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Further refinements of the Cauchy-Schwarz inequality for matrices [PDF]
, 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
Quantum Powers and Primitive Ontology
Philosophy 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
What can we Learn from Quantum Convolutional Neural Networks?
Advanced 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
Interpolation unitarily invariant norms inequalities for matrices with applications
AIMS MathematicsLet $ A_j, B_j, P_j $, and $ Q_j \in M_{n}(\mathbb{C}) $, where $ j = 1, 2, \dots, m $. For a real number $ c \in [0, 1] $, we prove the following interpolation inequality: $ \begin{equation*} {\left\vert\kern-0.1ex\left\vert\kern-0.1ex\left\vert {\
Mohammad Al-Khlyleh +2 more
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Graph rigidity for unitarily invariant matrix norms
Journal of Mathematical Analysis and Applications, 2020 A rigidity theory is developed for bar-joint frameworks in linear matrix spaces endowed with a unitarily invariant norm. Analogues of Maxwell's counting criteria are obtained and minimally rigid matrix frameworks are shown to belong to the matroidal class of (k,l)-sparse graphs for suitable k and l.
Kitson, Derek, Levene, Rupert H.
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