Relevant bibliographies by topics / Quadratic numerical range

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Quadratic numerical range'

Author: Grafiati
Published: 5 June 2025
Last updated: 15 July 2025

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Journal articles on the topic "Quadratic numerical range"

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T., H. Rasulov, and B. Dilmurodov E. "QUADRATIC NUMERICAL RANGE AND ITS MAIN PROPERTIES." Physical and mathematical science 3, no. 1 (2022): 21–25. https://doi.org/10.5281/zenodo.6790237.

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In this paper the notion of quadratic numerical range for the operator matrices of order 2 is studied and its main properties are given. Formulas for the quadratic numerical range of the generalized Friedrichs model are described. The estimates for the boundaries of the components of the quadratic numerical range allowed us to determine the location of the eigenvalues of the generalized Friedrichs model.
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Li, Chi-Kwong, Yiu-Tung Poon, and Nung-Sing Sze. "Elliptical range theorems for generalized numerical ranges of quadratic operators." Rocky Mountain Journal of Mathematics 41, no. 3 (2011): 813–32. http://dx.doi.org/10.1216/rmj-2011-41-3-813.

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张, 娅. "Numerical Range and Quadratic Numerical Range of Off-Diagonal Infinite Dimensional Hamiltonian Operators." Advances in Applied Mathematics 10, no. 04 (2021): 989–95. http://dx.doi.org/10.12677/aam.2021.104107.

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Tretter, Christiane. "The Quadratic Numerical Range of an Analytic Operator Function." Complex Analysis and Operator Theory 4, no. 2 (2009): 449–69. http://dx.doi.org/10.1007/s11785-009-0019-z.

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Lancaster, Peter, and Panayiotis Psarrakos. "The Numerical Range of Self-Adjoint Quadratic Matrix Polynomials." SIAM Journal on Matrix Analysis and Applications 23, no. 3 (2002): 615–31. http://dx.doi.org/10.1137/s0895479899364088.

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Muhammad, Ahmed, and Marco Marletta. "A numerical investigation of the quadratic numerical range of Hain-Lüst operators." International Journal of Computer Mathematics 90, no. 11 (2013): 2431–51. http://dx.doi.org/10.1080/00207160.2013.780049.

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Benabdi, El Hassan, M. Barraa, M. K. Chraibi, and Abderrahim Baghdad. "Maximal numerical range and quadratic elements in a C✻-algebra." Operators and Matrices, no. 4 (2021): 1477–87. http://dx.doi.org/10.7153/oam-2021-15-93.

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Langer, H., A. Markus, V. Matsaev, and C. Tretter. "A new concept for block operator matrices:the quadratic numerical range." Linear Algebra and its Applications 330, no. 1-3 (2001): 89–112. http://dx.doi.org/10.1016/s0024-3795(01)00230-0.

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Muhammad, Ahmed, and Marco Marletta. "Approximation of the Quadratic Numerical Range of Block Operator Matrices." Integral Equations and Operator Theory 74, no. 2 (2012): 151–62. http://dx.doi.org/10.1007/s00020-012-1971-y.

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Clifford, John, Michael Dabkowski та Alan Wiggins. "The Numerical Range of C* ψ Cφ and Cφ C* ψ". Concrete Operators 8, № 1 (2021): 13–23. http://dx.doi.org/10.1515/conop-2020-0108.

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Abstract In this paper we investigate the numerical range of C* bφ m Caφ n and Caφ n C* bφ m on the Hardy space where φ is an inner function fixing the origin and a and b are points in the open unit disc. In the case when |a| = |b| = 1 we characterize the numerical range of these operators by constructing lacunary polynomials of unit norm whose image under the quadratic form incrementally foliate the numerical range. In the case when a and b are small we show numerical range of both operators is equal to the numerical range of the operator restricted to a 3-dimensional subspace.
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Dissertations / Theses on the topic "Quadratic numerical range"

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Tso, Shu-hsien, and 左述賢. "Quadratic Operator: Numerical Range, Similarity and Hyperlattice." Thesis, 1993. http://ndltd.ncl.edu.tw/handle/99089052953590111759.

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碩士<br>國立交通大學<br>應用數學研究所<br>81<br>In this thesis, first we show that the numerical range of a quadratic operator on a Hilbert space must be an elliptical disc or its degenerate form. We also obtain necessary and sufficient conditions for such an operator to attain its numerical radius. We also study the similarity of quadratic operators. We obtain necessary and sufficient conditions the unitary equivalence and similarity of two square zero operators and also two idempotent operators. Finally
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Book chapters on the topic "Quadratic numerical range"

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Benabdi, El Hassan. "The Maximal Numerical Range of a Quadratic Matrix." In Applied Mathematics and Modelling in Finance, Marketing and Economics. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-42847-0_6.

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Nayak, Soumyaranjan, Abhishek Kumar Singh, Hina Gokhale, M. J. N. V. Prasad, and K. Narasimhan. "A Numerical Study to Analyze the Effect of Process Parameters on Ring Rolling of Ti-6Al-4V Alloy by Response Surface Methodology." In Lecture Notes in Mechanical Engineering. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-58006-2_25.

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AbstractHot ring rolling is a production method to manufacture seamless rings. It is a complex incremental metal-forming process where reduction of cross-section leads to increase in diameter of the ring via circumferential extrusion. High degree of non-linearity and asymmetry is associated with the process. The process results in non-uniform distribution of temperature and plastic strain in the ring cross-section, and this in turn significantly affects the deformation behavior, microstructure, and mechanical properties. Form defect like fishtail defect is also a major concern and incurs loss in terms of labor and machining cost. In this study, rolling of Ti-6Al-4V rings is studied with the help of three-dimensional coupled thermo-mechanical finite element model established using ABAQUS/Explicit environment-based dynamic explicit code. The major parameters taken into consideration for the study are main roll speed (rpm), main roll feed (mm/s), and coefficient of friction. Each parameter was studied at two levels. Twenty simulations with different combinations of major parameters were developed via Central Composite Design (CCD). Coefficient of Variation (CoV) was used as a heterogeneity index to ascertain heterogeneity in equivalent plastic strain (PEEQ) and temperature distribution in the ring. Fishtail defect was quantified using fishtail coefficient as an index. Analysis of variance (ANOVA) was used to ascertain the impact of significant factors and interactions between different parameters affecting the ring rolling process. ANOVA technique requires unrestricted range of (−∞, ∞) for analysis. Hence, logit transformation is used to transform fishtail coefficient present in the range 0–1 to an unrestricted real number range (−∞, ∞). Main roll feed rate was found to be the most significant factor affecting CoV (PEEQ), CoV (temperature) and logit transformation of fishtail coefficient and has an inverse correlation and quadratic relationship with all the responses. Other sources of variation like main roll speed (rpm) and coefficient of friction (CoF) have minimal impact. Increase in feed rate was found to reduce CoV (PEEQ), CoV (temperature), and logit transformation of fishtail coefficient.
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Shaikh, Azharuddin Sarfuddin, and Poonam Prakash Mishra. "Optimal Policies for Items With Quadratic Demand and Time-Dependent Deterioration Under Two Echelon Trade Credits." In Handbook of Research on Promoting Business Process Improvement Through Inventory Control Techniques. IGI Global, 2018. http://dx.doi.org/10.4018/978-1-5225-3232-3.ch002.

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In today's competitive and global business scenario there is always a race to boost demand of your product over others. This can be achieved by different means and allowing permissible delay in payments is one of them. Researchers have proposed number of inventory models with trade credit that actually help to understand effect of trade credit on total profit and overall demand. This paper proposes a two – echelon trade credit where retailer receives credit period from the manufacturer and offer it to end customers appropriately to raise demand. Proposed inventory model assumes quadratic demand and subjected to time dependent deterioration. Ordering cost is considered lot – size dependent whereas holding cost has been taken time dependent. In this model profit is maximized considering cycle time as a decision variable. Sensitivity analysis of crucial inventory parameters and numeric examples are discussed in detail. Outcome of this model can be applied to a huge range of products like readymade garments, fashion accessories, electronics, furniture and home furnishing products.
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Conference papers on the topic "Quadratic numerical range"

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Salman, Amer M., Ahmad Izani Md Ismail, Maisarah Haji Mohd, and Ahmed Muhammad. "Geometric of numerical and quadratic numerical range for block operator matrices." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2020 (MATHTECH 2020): Sustainable Development of Mathematics & Mathematics in Sustainability Revolution. AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0075279.

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Mackay, Ed, Lars Johanning, Dezhi Ning, and Dongsheng Qiao. "Numerical and Experimental Modelling of Wave Loads on Thin Porous Sheets." In ASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/omae2019-95148.

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Abstract This work considers the numerical modelling of wave interaction with thin porous structures, based on tests conducted in simplified conditions. Wave flume tests were conducted to measure the wave loads on thin porous sheets extending over the full water column. The porous sheets tested had a range of porosities, hole separation distances and thicknesses. Numerical and analytic models for the wave forces on the porous sheet are formulated under the assumptions of either a linear or quadratic pressure loss across the porous sheet. An iterative boundary element method (BEM) model is form
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Banerjee, Bappaditya, and Anil K. Bajaj. "Chaotic Amplitude Dynamics for Parametrically Excited Systems With Quadratic Nonlinearities." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0284.

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Abstract Dynamical systems with two degrees-of-freedom, with quadratic nonlinearities and parametric excitations are studied in this analysis. The 1:2 superharmonic internal resonance case is analyzed. The method of harmonic balance is used to obtain a set of four first-order amplitude equations that govern the dynamics of the first-order approximation of the response. An analytical technique, based on Melnikov’s method is used to predict the parameter range for which chaotic dynamics exist in the undamped averaged system. Numerical studies show that chaotic responses are quite common in these
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Srinil, Narakorn, Hossein Zanganeh, and Alexander Day. "Experimental Investigation of Two-Degree-of-Freedom VIV of Circular Cylinder With Low Equivalent Mass and Variable Natural Frequency Ratio." In ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/omae2013-10239.

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This paper presents an experimental investigation and validation of numerical prediction model for a 2-DOF VIV of a flexibly mounted circular cylinder by also accounting for the effect of geometrically nonlinear displacement coupling. A mechanical spring-cylinder system, achieving a low equivalent mass ratio in both in-line and cross-flow directions, is tested in a water towing tank and subject to a uniform steady flow in a sub-critical Reynolds number range of about 2000–50000. A generalized numerical model is based on double Duffing-van der Pol (structure-wake) oscillators which can capture
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Judith, Jörn, Denis Neher, Maurice Kettner, Markus Klaissle, and Darko Kozarac. "Numerical Investigations of the Auto-Ignition Ranges of a Natural Gas Fueled HCCI Engine." In JSAE/SAE Small Engine Technologies Conference & Exhibition. Society of Automotive Engineers of Japan, 2017. http://dx.doi.org/10.4271/2017-32-0073.

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&lt;div class="section abstract"&gt;&lt;div class="htmlview paragraph"&gt;Homogeneous charge compression ignition (HCCI) in natural gas fueled engines is thought to achieve high efficiency and low NO&lt;sub&gt;x&lt;/sub&gt; emissions. While automotive applications require various load and speed regions, the operation range of stationary cogeneration engines is narrower. Hence, HCCI operation is easier to reach and more applicable to comply with future emission standards.&lt;/div&gt;&lt;div class="htmlview paragraph"&gt;This study presents computationally investigations of the auto-ignition ran
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Cheng, Shuo, and Mian Li. "Multi-Objective Robust Optimization Using Differential Evolution and Sequential Quadratic Programming." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12293.

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Multi-Objective Robust Optimization (MORO) can find Pareto solutions to multi-objective engineering problems while keeping the variation of the solutions being within an acceptable range when parameters vary. While the literature reports on many techniques in MORO, few papers focus on the implementation of Multi-Objective Differential Evolution (MODE) for robust optimization and the performance improvement of solutions. In this paper, MODE is first modified and implemented for robust optimization, formulating a new MODE-RO algorithm. To improve the solutions’ quality of MODE-RO, a new hybrid M
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Sun, Rongjian, Jian Zhao, Najib Kacem, Ming Lyu, Zeyuan Dong, and Pengbo Liu. "Bifurcation Topology Tuning of 2:1 Internal Resonance in Electrostatically Coupled Resonators." In ASME 2024 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2024. http://dx.doi.org/10.1115/detc2024-143411.

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Abstract The 2:1 internal resonance of electrostatically coupled resonators is theoretically investigated. A general dynamical model of the coupled resonators is established, and a reduced-order model incorporating the quadratic and cubic coupling terms is derived by the Galerkin method. The safe operating range of the system is determined by static analysis, and the operating voltage satisfying the frequency commensurable relation is determined by eigenvalue analysis. Finally, the dynamic response of the system is solved by a second-order method of multiple scales, and the results are verifie
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Lee, Ki-Don, Sun-Min Kim, and Kwang-Yong Kim. "Numerical Analysis of Film-Cooling Performance and Optimization for a Novel Shaped Film-Cooling Hole." In ASME Turbo Expo 2012: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/gt2012-68529.

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In the present work, a numerical study on a novel shaped film-cooling hole has been performed. The novel shaped hole is designed to enhance lateral spreading of coolant on the cooling surface. The film-cooling performance of the novel shaped hole is compared with the fan, laidback fan, and dumbbell shaped film-cooling holes at density ratio of 1.75 in the range of blowing ratio from 0.5 to 2.5. The optimization of the novel shaped hole has been carried out to increase film-cooling effectiveness with four design variables, i.e., lateral expansion of the diffuser, forward expansion angle of the
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Fonseca, Nuno, Carlos Eduardo Siva de Sousa, and Petter Andreas Berthelsen. "Prediction of Heave and Pitch Low Frequency Wave Forces and Motions of a Semi-Submersible Floating Wind Turbine and Comparison With Model Test Data." In ASME 2022 4th International Offshore Wind Technical Conference. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/iowtc2022-95009.

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Abstract Most of the floating wind turbine (FWT) sub-structure concepts are designed with long natural periods of the vertical motions to de-tune from the wave frequency range. The consequence is that the natural frequencies of heave, roll and pitch are excited by low frequency wave and wind loads. The paper focus is on the low frequency (LF) wave drift loads and the related heave and pitch responses of a semi-submersible type of FWT (12MW INO WINDMOOR). It presents several approaches to calculate the wave drift force coefficients and related forces in irregular waves, namely mean wave drift c
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Ersdal, Svein, and Anders M. Moe. "Model Test of the Aker Wave Energy Converter Concept." In ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/omae2013-10537.

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The results from a model test of a wave energy converter of the articulated body type are presented and compared with the analytical results from a linear frequency domain analysis. The focus is on the rotational response of the arm connecting the bodies, since this is the motion used for energy extraction. Using a servo motor with programmable torque vs. angular velocity characteristics constant, linear and quadratic relationships could be modeled in the test. The comparison with the numerical model shows that the presence of walls in the test tank influences the response, thus some uncertain
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