Relevant bibliographies by topics / Perturbation matrix

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  2. Dissertations / Theses
  3. Books
  4. Book chapters
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Academic literature on the topic 'Perturbation matrix'

Author: Grafiati
Published: 5 June 2025
Last updated: 1 August 2025

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Journal articles on the topic "Perturbation matrix"

1

AROUNA, Traoré G. Y., Famane KAMBIRE, and Sylvestre P. EKRA. "PERTURBATION ANALYSIS OF SYMPLECTIC MATRIX." International Journal of Numerical Methods and Applications 38, no. 1 (2025): 187–209. https://doi.org/10.17654/0975045225008.

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Starting a theory of perturbation introduced by Arouna et al. [1], perturbations preserving the -symplecticity structure of a symplectic matrix are presented. Results on the consequences of the effect of a rank- perturbation on the strong stability of this type of matrix are proposed. Two numerical examples are given to analyze the effect of these perturbations on the strong stability and spectrum of symplectic matrices.
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Zhang, Jiafan, Jianping Ye, Huajiang Ouyang, and Xiang Yin. "An explicit formula of perturbating stiffness matrix for partial natural frequency assignment using static output feedback." Journal of Low Frequency Noise, Vibration and Active Control 37, no. 4 (2018): 1045–52. http://dx.doi.org/10.1177/1461348418756026.

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The partial eigenvalue (or natural frequency) assignment or placement, only by the stiffness matrix perturbation, of an undamped vibrating system is addressed in this paper. A novel and explicit formula of determining the perturbating stiffness matrix is deduced from the eigenvalues perturbation theorem for a low-rank perturbed matrix. This formula is then utilized to solve the partial eigenvalue (or natural frequency) assignment via the static output feedback. The control matrix, output matrix and feedback gain matrix can be explicitly expressed and easily constructed.
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Wu, Zhenqing, Zhejun Huang, Sijin Wu, Ziying Yu, Liuxin Zhu, and Lili Yang. "Accelerating Convergence of Langevin Dynamics via Adaptive Irreversible Perturbations." Mathematics 12, no. 1 (2023): 118. http://dx.doi.org/10.3390/math12010118.

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Irreversible perturbations in Langevin dynamics have been widely recognized for their role in accelerating convergence in simulations of multi-modal distributions π(θ). A commonly used and easily computed standard irreversible perturbation is J∇logπ(θ), where J is a skew-symmetric matrix. However, Langevin dynamics employing a fixed-scale standard irreversible perturbation encounter a trade-off between local exploitation and global exploration, associated with small and large scales of standard irreversible perturbation, respectively. To address this trade-off, we introduce the adaptive irreve
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Angelova, Vera, and Petko Petkov. "Componentwise Perturbation Analysis of the Singular Value Decomposition of a Matrix." Applied Sciences 14, no. 4 (2024): 1417. http://dx.doi.org/10.3390/app14041417.

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A rigorous perturbation analysis is presented for the singular value decomposition (SVD) of a real matrix with full column rank. It is proved that the SVD perturbation problem is well posed only when the singular values are distinct. The analysis involves the solution of symmetric coupled systems of linear equations. It produces asymptotic (local) componentwise perturbation bounds on the entries of the orthogonal matrices participating in the decomposition of the given matrix and on its singular values. Local bounds are derived for the sensitivity of the singular subspaces measured by the angl
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Texier, Benjamin. "Basic matrix perturbation theory." L’Enseignement Mathématique 64, no. 3 (2019): 249–63. http://dx.doi.org/10.4171/lem/64-3/4-1.

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Kay, Jun Kyung, and Hyun Mee Kim. "Characteristics of Initial Perturbations in the Ensemble Prediction System of the Korea Meteorological Administration." Weather and Forecasting 29, no. 3 (2014): 563–81. http://dx.doi.org/10.1175/waf-d-13-00097.1.

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Abstract In this study, the initial ensemble perturbation characteristics of the new Korea Meteorological Administration (KMA) ensemble prediction system (EPS), a version of the Met Office Global and Regional Ensemble Prediction System, were analyzed over two periods: from 1 June to 31 August 2011, and from 1 December 2011 to 29 February 2012. The KMA EPS generated the initial perturbations using the ensemble transform Kalman filter (ETKF). The observation effect was reflected in both the transform matrix and the inflation factor of the ETKF; it reduced (increased) uncertainties in the initial
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Yonchev, A. "Perturbation Analysis of the Continuous-time Regional Pole Assignment and H2 Performance Control Problems: an LMI Approach." Information Technologies and Control 12, no. 3-4 (2014): 28–35. http://dx.doi.org/10.1515/itc-2016-0004.

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Abstract In the paper a method to conduct perturbation analysis of regional pole assignment and H2 performance control problems for linear continuous-time systems are investigated. The studied control problems are based on solving LMIs (Linear Matrix Inequalities) and applying Lyapunov functions. The problem of performing sensitivity analysis of the perturbed matrix inequalities is done in a similar way as for perturbed matrix equations, after introducing a slightly perturbed right hand part. The calculated perturbation bounds can be used to analyze the feasibility and performance of the consi
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Isabel García-Planas, M., and Tetiana Klymchuk. "Perturbation analysis of a matrix differential equation ẋ = ABx." Applied Mathematics and Nonlinear Sciences 3, no. 1 (2018): 97–104. http://dx.doi.org/10.21042/amns.2018.1.00007.

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AbstractTwo complex matrix pairs (A, B) and (A′, B′) are contragrediently equivalent if there are nonsingular S and R such that (A′, B′) = (S−1AR, R−1BS). M.I. García-Planas and V.V. Sergeichuk (1999) constructed a miniversal deformation of a canonical pair (A, B) for contragredient equivalence; that is, a simple normal form to which all matrix pairs (A + A͠, B + B͠) close to (A, B) can be reduced by contragredient equivalence transformations that smoothly depend on the entries of A͠ and B͠. Each perturbation (A͠, B͠) of (A, B) defines the first order induced perturbation AB͠ + A͠B of the matr
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Bahloul, Aymen. "Spectral properties for unbounded block operator matrices via polynomially Riesz perturbations." Filomat 38, no. 16 (2024): 5655–67. https://doi.org/10.2298/fil2416655b.

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As well-known, the perturbation theory of polynomially Riesz operators is an attractive way to characterize certain spectral analysis in Fredholm theory, it is also a tool of great significance in the matrix framework. The first aim of this paper is to find some new arguments of perturbations allowing us to provide some original left-right Fredholm properties of 3 ? 3 unbounded block operator matrix form defined with maximal domain and to provide an amelioration and a continuation of the recent work invested by Abdmouleh, Khlif and Walha in [Spectral description of Fredholm operators via polyn
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Putinar, Mihai, and Dmitry Yakubovich. "Spectral dissection of finite rank perturbations of normal operators." Journal of Operator Theory 85, no. 1 (2020): 45–78. http://dx.doi.org/10.7900/jot.2019jul21.2266.

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Finite rank perturbations T=N+K of a bounded normal operator N acting on a separable Hilbert space are studied thanks to a natural functional model of T; in its turn the functional model solely relies on a perturbation matrix/characteristic function previously defined by the second author. Function theoretic features of this perturbation matrix encode in a closed-form the spectral behavior of T. Under mild geometric conditions on the spectral measure of N and some smoothness constraints on K we show that the operator T admits invariant subspaces, or even it is decomposable.
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Dissertations / Theses on the topic "Perturbation matrix"

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Chang, Xiao-Wen. "Perturbation analysis of some matrix factorizations." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape16/PQDD_0023/NQ29906.pdf.

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Dianzinga, Mamy Rivo. "N-representable density matrix perturbation theory." Thesis, Bordeaux, 2016. http://www.theses.fr/2016BORD0285/document.

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Alors que les approches standards de résolution de la structure électronique présentent un coût de calcul à la puissance 3 par rapport à la complexité du problème, des solutions permettant d’atteindre un régime asymptotique linéaire,O(N), sont maintenant bien connues pour le calcul de l'état fondamental. Ces solutions sont basées sur la "myopie" de la matrice densité et le développement d'un cadre théorique permettant de contourner le problème aux valeurs propres. La théorie des purifications de la matrice densité constitue une branche de ce cadre théorique. Comme pour les approches de type O(
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Ma, Yanyuan 1970. "Studies in matrix perturbation and robust statistics." Thesis, Massachusetts Institute of Technology, 1999. http://hdl.handle.net/1721.1/85305.

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Tidefelt, Henrik. "Differential-algebraic equations and matrix-valued singular perturbation." Doctoral thesis, Linköpings universitet, Reglerteknik, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-51653.

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With the arrival of modern component-based modeling tools for dynamic systems, the differential-algebraic equation form is increasing in popularity as it is general enough to handle the resulting models. However, if uncertainty is allowed in the equations — no matter how small — this thesis stresses that such equations generally become ill-posed. Rather than deeming the general differential-algebraic structure useless up front due to this reason, the suggested approach to the problem is to ask what assumptions that can be made in order to obtain well-posedness. Here, “well-posedness” is used i
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Li, Yuemeng. "Spectral Analysis of Directed Graphs using Matrix Perturbation Theory." Thesis, The University of North Carolina at Charlotte, 2017. http://pqdtopen.proquest.com/#viewpdf?dispub=10618933.

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<p> The spectral space of the adjacency matrix contains important structural information of a given network (graph), where such information can be leveraged in developing a variety of algorithms in applications such as graph partition, structural hierarchy discovery, and anomaly detection. Although many prominent works have laid the foundation for studying the graph spectra, it is still challenging to analyze the spectral space properties for directed graphs due to possible complex valued decompositions. Matrix factorization techniques such as Laplacian and normalized Laplacian have been widel
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Krause, Andreas. "Baryon matrix elements of the vector current in chiral perturbation theory /." Bern, 1991. http://www.ub.unibe.ch/content/bibliotheken_sammlungen/sondersammlungen/dissen_bestellformular/index_ger.html.

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Masango, Senamile Khethekile Ntombizothando. "Measuring transitional matrix elements using first-order perturbation theory in Coulomb excitation." University of the Western Cape, 2019. http://hdl.handle.net/11394/6704.

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Magister Scientiae - MSc<br>The aim of nuclear structure physics is to study the interplay between singleparticle and collective degrees of freedom in nuclei and to explain how nuclei get excited and decay under di erent external conditions, such as strong electric and magnetic elds. If nuclei absorb a large amount of energy and angular momentum, like in a scattering reaction when you bombard a target that is in the ground state with a projectile at high bombarding energies, the energy from the projectile gets transfered to the target and vice versa, hence both projectile and target ma
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Gernandt, Hannes [Verfasser], Michał [Akademischer Betreuer] Wojtylak, and Carsten [Gutachter] Trunk. "Spectral Perturbation & Optimization of Matrix Pencils / Hannes Gernandt ; Gutachter: Carsten Trunk ; Betreuer: Michał Wojtylak." Ilmenau : Universitätsverlag, 2021. http://d-nb.info/1241963509/34.

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Müller, Eike Hermann. "Heavy-to-light decays on the lattice." Thesis, University of Edinburgh, 2009. http://hdl.handle.net/1842/4144.

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Precise predictions of hadronic matrix elements in heavy meson decays are important to constrain the fundamental parameters in the Standard Model of particle physics. The CKM matrix element Vub can be extracted from experimental data on the decay B → πℓν if the hadronic form factor is known. In addition, loop suppressed rare decays of B-mesons, such as B → K∗γ and B → K(∗)ℓℓ, provide valuable insight into new physics models. Hadronic form factors for exclusive meson decays can be calculated in the framework of lattice QCD. As the wavelength of heavy quarks is not resolved on currently availabl
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Starkloff, Hans-Jörg, and Ralf Wunderlich. "Stationary solutions of linear ODEs with a randomly perturbed system matrix and additive noise." Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200501335.

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The paper considers systems of linear first-order ODEs with a randomly perturbed system matrix and stationary additive noise. For the description of the long-term behavior of such systems it is necessary to study their stationary solutions. We deal with conditions for the existence of stationary solutions as well as with their representations and the computation of their moment functions. Assuming small perturbations of the system matrix we apply perturbation techniques to find series representations of the stationary solutions and give asymptotic expansions for their first- and second-order
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Books on the topic "Perturbation matrix"

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Stewart, G. W. Matrix perturbation theory. Academic Press, 1990.

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2

Bhatia, Rajendra. Perturbation bounds for matrix eigenvalues. Longman Scientific & Technical, 1987.

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1948-, Konstantinov M. M., ed. Perturbation theory for matrix equations. North Holland/Elsevier, 2003.

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Chen, Suhuan. Matrix perturbation theory in structural dynamics. International Academic Publishers, 1993.

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Soto-Eguibar, Francisco, Braulio Misael Villegas-Martínez, and Héctor Manuel Moya-Cessa. The Matrix Perturbation Method in Quantum Mechanics. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-48546-6.

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6

Wittingham, I. B. S-matrix for broadening of helium spectral lines by helium perturbers. Physics Department, James Cook University, 1988.

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Whittingham, I. B. S-matrix for broadening of helium spectral lines by helium perturbers. Physics Dept., James Cook University of North Queensland, 1988.

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Gragg, William B. Constructing a unitary Hessenberg matrix from spectral data. Naval Postgraduate School, 1988.

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Sun, Ji-guang. Matrix Perturbation Theory. Elsevier Science & Technology, 1991.

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Perturbation Theory for Matrix Equations. Elsevier, 2003. http://dx.doi.org/10.1016/s1570-579x(03)x8001-5.

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Book chapters on the topic "Perturbation matrix"

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Bhatia, Rajendra. "Perturbation of Matrix Functions." In Matrix Analysis. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-0653-8_10.

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Bogaevski, V. N., and A. Povzner. "Matrix Perturbation Theory." In Applied Mathematical Sciences. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-4438-7_1.

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Adams, Barry G. "Perturbation Matrix Elements." In Algebraic Approach to Simple Quantum Systems. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57933-2_14.

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Soto-Eguibar, Francisco, Braulio Misael Villegas-Martínez, and Héctor Manuel Moya-Cessa. "The Matrix Perturbation Method." In The Matrix Perturbation Method in Quantum Mechanics. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-48546-6_3.

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Bhatia, Rajendra. "Perturbation of Spectral Subspaces of Normal Matrices." In Matrix Analysis. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-0653-8_7.

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Soto-Eguibar, Francisco, Braulio Misael Villegas-Martínez, and Héctor Manuel Moya-Cessa. "Standard Time-Dependent Perturbation Theory." In The Matrix Perturbation Method in Quantum Mechanics. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-48546-6_2.

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Soto-Eguibar, Francisco, Braulio Misael Villegas-Martínez, and Héctor Manuel Moya-Cessa. "Standard Time-Independent Perturbation Theory." In The Matrix Perturbation Method in Quantum Mechanics. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-48546-6_1.

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Soto-Eguibar, Francisco, Braulio Misael Villegas-Martínez, and Héctor Manuel Moya-Cessa. "Applications of the Matrix Perturbation Method." In The Matrix Perturbation Method in Quantum Mechanics. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-48546-6_5.

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Soto-Eguibar, Francisco, Braulio Misael Villegas-Martínez, and Héctor Manuel Moya-Cessa. "Examples of the Matrix Perturbation Method." In The Matrix Perturbation Method in Quantum Mechanics. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-48546-6_4.

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Redington, Richard L. "Matrix Perturbation of Vibrational Isotope Effects." In Low Temperature Molecular Spectroscopy. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-0281-7_8.

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Conference papers on the topic "Perturbation matrix"

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Vidal-Moreno, Pedro J., Marcos G. Barriopedro, Alejandro Rosado, Laura Hernández-Martín, Sonia Martin-Lopez, and Hugo F. Martins. "Reference matrix self-correction for perturbation compensation in MFDD-DAS." In 29th International Conference on Optical Fiber Sensors, edited by Manuel Lopez-Amo Sainz, José Luís Santos, and Tong Sun. SPIE, 2025. https://doi.org/10.1117/12.3061867.

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Jiang, Hanjing, Meineng Wang, Luping Zhang, Yu-An Huang, Yangyuan Li, and Yabing Huang. "A Single-Cell Clustering Algorithm Based on Structure Perturbation Non-Negative Matrix Factorization." In 2024 IEEE International Conference on Bioinformatics and Biomedicine (BIBM). IEEE, 2024. https://doi.org/10.1109/bibm62325.2024.10822819.

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Radford, Thomas, Peter Wiecha, Alberto Politi, and Otto Muskens. "Neural Adjoint, Inverse Design for Arbitrary Unitary Matrix Recreation in Coupled Waveguide Arrays Using Programmable Phase Change Materials." In Quantum 2.0. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/quantum.2024.qw3a.39.

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We present a deep learning adjoint network, demonstrating its use for the inverse design of refractive index perturbation patterns required to map an arbitrary unitary matrix onto a waveguide array using programmable phase change materials.
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Parker, Robert G. "Stability of Continuous Gyroscopic Systems Using Perturbation Analysis." In ASME 1996 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/imece1996-1071.

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Abstract Continuous gyroscopic system eigenvalues and stability are analytically calculable in only a limited set of cases. This paper presents an eigenvalue perturbation analysis to determine approximate eigenvalue loci and stability conclusions in the vicinity of critical speeds and zero speed. The perturbation analysis relies on a formulation of the general continuous gyroscopic system eigenvalue problem in terms of matrix differential operators and vector eigenfunctions. The eigenvalue λ appears only as λ2 in the formulation, and the smoothness of λ2 at the critical speeds and zero speed i
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Fuchs, Jean-jacques. "ARMA-Order estimation via matrix perturbation theory." In 1986 25th IEEE Conference on Decision and Control. IEEE, 1986. http://dx.doi.org/10.1109/cdc.1986.267364.

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Ran, A. C. M., and L. Rodman. "Perturbation analysis of algebraic matrix Riccati equations." In 29th IEEE Conference on Decision and Control. IEEE, 1990. http://dx.doi.org/10.1109/cdc.1990.203938.

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Fritzsch, J., M. Tyloo, and Ph Jacquod. "Matrix Perturbation Theory of Inter-Area Oscillations." In 2021 60th IEEE Conference on Decision and Control (CDC). IEEE, 2021. http://dx.doi.org/10.1109/cdc45484.2021.9682850.

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XU, Zhong-hai, Zhong-yuan NIU, Jian-zhao ZHANG, and Rong-guo WANG. "An Improved Matrix Perturbation Method for Modified Structures." In International Conference on Computer Networks and Communication Technology (CNCT 2016). Atlantis Press, 2017. http://dx.doi.org/10.2991/cnct-16.2017.97.

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Imtiaz, Hafiz, and Anand D. Sarwate. "Symmetric matrix perturbation for differentially-private principal component analysis." In 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2016. http://dx.doi.org/10.1109/icassp.2016.7472095.

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Kawamoto, Junpei, and Masatoshi Yoshikawa. "Private range query by perturbation and matrix based encryption." In 2011 Sixth International Conference on Digital Information Management (ICDIM). IEEE, 2011. http://dx.doi.org/10.1109/icdim.2011.6093317.

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Reports on the topic "Perturbation matrix"

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Luo Y. Matrix Perturbation Approach to the Weak Linear Coupling. Office of Scientific and Technical Information (OSTI), 2005. http://dx.doi.org/10.2172/1061779.

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