Results 101 to 110 of about 1,101,519 (253)

On a Norm Inequality for Three 2 × 2 Matrices with One Normal Factor

Mathematics
In this paper, we continue to investigate the norm inequality for three real matrices that was recently conjectured by L. László. We establish the validity of the conjecture for the case where n=2 and one of the matrices is normal.
Na Li, Fen Wang
doaj   +1 more source

Alternating Direction Method of Multipliers for Generalized Low-Rank Tensor Recovery

Algorithms, 2016
Low-Rank Tensor Recovery (LRTR), the higher order generalization of Low-Rank Matrix Recovery (LRMR), is especially suitable for analyzing multi-linear data with gross corruptions, outliers and missing values, and it attracts broad attention in the fields
Jiarong Shi, Qingyan Yin, Xiuyun Zheng, Wei Yang   +3 more
doaj   +1 more source

A Frobenius Norm Regularization Method for Convolutional Kernel Tensors in Neural Networks. [PDF]

Comput Intell Neurosci, 2022
Guo PC.
europepmc   +1 more source

Low-rank Approximation of Linear Maps

, 2018
This work provides closed-form solutions and minimal achievable errors for a large class of low-rank approximation problems in Hilbert spaces. The proposed theorem generalizes to the case of linear bounded operators and p-th Schatten norms previous ...
Heas, Patrick, Herzet, Cedric
core  

On the Existence of One‐Sided Representations for the Generalised Dynamic Factor Model

Journal of Time Series Analysis, EarlyView.
ABSTRACT We study the Generalised Dynamic Factor Model (GDFM) and show that the dynamic common component, that is, the common component of the GDFM, can be expressed using only current and past observations under mild assumptions. Specifically, we require (i) the dynamic common component to be purely non‐deterministic and (ii) the exclusion of ...
Philipp Gersing
wiley   +1 more source

Iterative Solution to a System of Matrix Equations

Abstract and Applied Analysis, 2013
An efficient iterative algorithm is presented to solve a system of linear matrix equations , with real matrices and . By this iterative algorithm, the solvability of the system can be determined automatically.
Yong Lin, Qing-Wen Wang
doaj   +1 more source

Autoregressive Hypergraph

Journal of Time Series Analysis, EarlyView.
ABSTRACT Traditional graph representations are insufficient for modelling real‐world phenomena involving multi‐entity interactions, such as collaborative projects or protein complexes, necessitating the use of hypergraphs. While hypergraphs preserve the intrinsic nature of such complex relationships, existing models often overlook temporal evolution in
Xianghe Zhu, Qiwei Yao
wiley   +1 more source

Group Choice Using Matrix Norms

Известия Иркутского государственного университета: Серия "Математика", 2016
The article describes the approach to the construction of methods of the group choice and ranking of objects in order of preference, based on the minimizing the deviation of the matrix, characterizing objects (of an evaluation matrix) from some peer ...
Y. N. Artamonov
doaj  

Dynamical System Stability Criteria Based on the Frobenius Norm

AppliedMath
It is well known that the position of the Jacobian matrix spectrum in the left-half complex plane provides the local asymptotic stability of a nonlinear dynamical system, but it is also well known that for large matrices, computing its eigenvalues just ...
Dragana Cvetković, Ernest Šanca
doaj   +1 more source

The core inverse and constrained matrix approximation problem

Open Mathematics, 2020
In this article, we study the constrained matrix approximation problem in the Frobenius norm by using the core inverse:||Mx−b||F=minsubjecttox∈ℛ(M),||Mx-b|{|}_{F}=\hspace{.25em}\min \hspace{1em}\text{subject}\hspace{.25em}\text{to}\hspace{1em}x\in ...
Wang Hongxing, Zhang Xiaoyan
doaj   +1 more source