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The Dual Characterization of Structured and Skewed Structured Singular Values

open access: yesMathematics, 2022
The structured singular values and skewed structured singular values are the well-known mathematical quantities and bridge the gap between linear algebra and system theory.
Mutti-Ur Rehman   +4 more
doaj   +4 more sources

Computing Structured Singular Values for Sturm-Liouville Problems [PDF]

open access: yesInternational Journal of Analysis and Applications, 2019
In this article we present numerical computation of pseudo-spectra and the bounds of Structured Singular Values (SSV) for a family of matrices obtained while considering matrix representation of SturmLiouville (S-L) problems with eigenparameter-dependent
Mutti-Ur Rehman   +2 more
doaj   +3 more sources

The Stability Analysis of Linear Systems with Cauchy—Polynomial-Vandermonde Matrices

open access: yesAxioms, 2023
The numerical approximation of both eigenvalues and singular values corresponding to a class of totally positive Bernstein–Vandermonde matrices, Bernstein–Bezoutian structured matrices, Cauchy—polynomial-Vandermonde structured matrices, and quasi ...
Mutti-Ur Rehman   +3 more
doaj   +1 more source

A Mathematical Tool to Investigate the Stability Analysis of Structured Uncertain Dynamical Systems with M-Matrices

open access: yesMathematics, 2023
The μ-value or structured singular value is a prominent mathematical tool to analyze and synthesize both the robustness and performance of time-invariant systems. We establish and analyze new results concerning structured singular values for the Hadamard
Mutti-Ur Rehman   +3 more
doaj   +1 more source

On Instability Analysis of Linear Feedback Systems

open access: yesComputation, 2020
The numerical approximation of the μ -value is key towards the measurement of instability, stability analysis, robustness, and the performance of linear feedback systems in system theory.
Mutti-Ur Rehman, Jehad Alzabut
doaj   +1 more source

Macroscopic fluctuations emerge in balanced networks with incomplete recurrent alignment

open access: yesPhysical Review Research, 2021
Networks of strongly coupled neurons with random connectivity exhibit chaotic, asynchronous fluctuations. In a previous study, we showed that when endowed with an additional component of low-rank connectivity consisting of the outer product of orthogonal
Itamar D. Landau, Haim Sompolinsky
doaj   +1 more source

svt: Singular Value Thresholding in MATLAB

open access: yesJournal of Statistical Software, 2017
Many statistical learning methods such as matrix completion, matrix regression, and multiple response regression estimate a matrix of parameters. The nuclear norm regularization is frequently employed to achieve shrinkage and low rank solutions.
Cai Li, Hua Zhou
doaj   +1 more source

「青春無煙/菸」校園電子煙防制教學活動成效之探討 “Youth Smoke-Free” Teaching Activities for Preventing E-Cigarette Use: A Pilot Study

open access: yesJournal of Research in Education Sciences, 2021
根據相關統計資料顯示,各國電子煙的盛行率逐年攀高,尤其青少年使用電子煙的平均盛行率已達16.4%。衛生福利部國民健康署(2021)推估我國青少年使用電子煙已超過5.7萬人,對青少年健康之危害甚大。為了能淨化校園,杜絕電子煙對青少年的戕害,發展電子煙防制措施已是刻不容緩。本研究採「前導試驗」方式,以某所國小為場域進行實務教學,旨在瞭解透過本教學方式是否能提升教學成效。收案時間為2021年3月至4月,由場域學校之教師執行本研究的實務教學活動,執行期間共計53人於教學前後完成問卷施測,結果發現在知識 ...
劉冠儀 Kuan-Yi Liu   +4 more
doaj   +1 more source

Block-encoding structured matrices for data input in quantum computing [PDF]

open access: yesQuantum
The cost of data input can dominate the run-time of quantum algorithms. Here, we consider data input of arithmetically structured matrices via $\textit{block encoding}$ circuits, the input model for the quantum singular value transform and related ...
Christoph Sünderhauf   +2 more
doaj   +1 more source

On the Approximated Reachability of a Class of Time-Varying Nonlinear Dynamic Systems Based on Their Linearized Behavior about the Equilibria: Applications to Epidemic Models

open access: yesEntropy, 2019
This paper formulates the properties of point reachability and approximate point reachability of either a targeted state or output values in a general dynamic system which possess a linear time-varying dynamics with respect to a given reference nominal ...
Manuel De la Sen
doaj   +1 more source

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