Academic literature on the topic 'Moore penrose'

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Journal articles on the topic "Moore penrose"

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Mardiyana, Mardiyana, Na'imah Hijriati, and Thresye Thresye. "INVERS TERGENERALISASI MOORE PENROSE." EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN 15, no. 2 (2022): 78. http://dx.doi.org/10.20527/epsilon.v15i2.3667.

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The generalized inverse is a concept for determining the inverse of a singular matrix and and matrix which has the characteristic of the inverse matrix. There are several types of generalized inverse, one of which is the Moore-Penrose inverse. The matrix is called Moore Penrose inverse of a matrix if it satisfies the four penrose equations and is denoted by . Furthermore, if the matrix satisfies only the first two equations of the Moore-Penrose inverse and , then is called the group inverse of and is denoted by . The purpose of this research was to determine the group inverse of a non-diagonal
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Chen, Yang, Kezheng Zuo, and Zhimei Fu. "New characterizations of the generalized Moore-Penrose inverse of matrices." AIMS Mathematics 7, no. 3 (2022): 4359–75. http://dx.doi.org/10.3934/math.2022242.

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<abstract><p>Some new characterizations of the generalized Moore-Penrose inverse are proposed using range, null space, several matrix equations and projectors. Several representations of the generalized Moore-Penrose inverse are given. The relationships between the generalized Moore-Penrose inverse and other generalized inverses are discussed using core-EP decomposition. The generalized Moore-Penrose matrices are introduced and characterized. One relation between the generalized Moore-Penrose inverse and corresponding nonsingular border matrix is presented. In addition, application
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Zuo, Kezheng, Yang Chen, and Li Yuan. "Further representations and computations of the generalized Moore-Penrose inverse." AIMS Mathematics 8, no. 10 (2023): 23442–58. http://dx.doi.org/10.3934/math.20231191.

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<abstract><p>The aim of this paper is to provide new representations and computations of the generalized Moore-Penrose inverse. Based on the Moore-Penrose inverse, group inverse, Bott-Duffin inverse and certain projections, some representations for the generalized Moore-Penrose inverse are given. An equivalent condition for the continuity of the generalized Moore-Penrose inverse is proposed. Splitting methods and successive matrix squaring algorithm for computing the generalized Moore-Penrose inverse are presented.</p></abstract>
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Morillas, Patricia. "Expressions and characterizations for the Moore-Penrose inverse of operators and matrices." Electronic Journal of Linear Algebra 39 (May 18, 2023): 214–41. http://dx.doi.org/10.13001/ela.2023.7315.

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Under certain conditions, we prove that the Moore-Penrose inverse of a sum of operators is the sum of the Moore-Penrose inverses. From this, we derive expressions and characterizations for the Moore-Penrose inverse of an operator that are useful for its computation. We give formulations of them for finite matrices and study the Moore-Penrose inverse of circulant matrices and of distance matrices of certain graphs.
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Xiao, Qi, and Jin Zhong. "Characterizations and properties of hyper-dual Moore-Penrose generalized inverse." AIMS Mathematics 9, no. 12 (2024): 35125–50. https://doi.org/10.3934/math.20241670.

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<p>In this paper, the definition of the hyper-dual Moore-Penrose generalized inverse of a hyper-dual matrix is introduced. Characterizations for the existence of the hyper-dual Moore-Penrose generalized inverse are given, and a formula for the hyper-dual Moore-Penrose generalized inverse is presented whenever it exists. Least-squares properties of the hyper-dual Moore-Penrose generalized inverse are discussed by introducing a total order of hyper-dual numbers. We also introduce the definition of a dual matrix of order $ n $. A necessary and sufficient condition for the existence of the M
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Ani, Ani, Mashadi Mashadi, and Sri Gemawati. "Invers Moore-Penrose pada Matriks Turiyam Simbolik Real." Jambura Journal of Mathematics 5, no. 1 (2023): 95–114. http://dx.doi.org/10.34312/jjom.v5i1.16304.

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The symbolic Turiyam matrix is a matrix whose entries contain symbolic Turiyam. Inverse matrices can generally be determined if the matrix is a non-singular square matrix. Currently the inverse of the symbolic Turiyam matrix of size m × n with m 6= n can be determined by the Moore-Penrose inverse. The purpose of this research is to determine the inverse Moore-Penrose algorithm on a real symbolic Turiyam matrix of size m × n with m 6= n. Algebraic operations on symbolic Turiyam is a method used to obtain the Moore-Penrose inverse on real symbolic Turiyam matrices by applying symbolic Turiyam al
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ÁNH, PHAM NGOC, and LÁSZLÓ MÁRKI. "MOORE–PENROSE LOCALIZATION." Journal of Algebra and Its Applications 03, no. 01 (2004): 1–8. http://dx.doi.org/10.1142/s0219498804000666.

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For rings with involution, we describe the close interrelation between localizations with respect to group inverses and Moore–Penrose inverses, respectively. In full generality, we show that Moore–Penrose localizations are equivalent with certain Fountain–Gould localizations, and that "full" Moore–Penrose and Fountain–Gould orders, respectively, coincide in a perfect or strongly regular ring.
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Misic, Milan, Marina Tosic, and Zoran Popovic. "Generalized inverses of a linear combination of Moore-Penrose hermitian matrices." Filomat 30, no. 11 (2016): 2965–72. http://dx.doi.org/10.2298/fil1611965m.

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In this paper we give a representation of the Moore-Penrose inverse and the group inverse of a linear combination of Moore-Penrose Hermitian matrices, i.e., square matrices satisfying Ay = A. Also, we consider the invertibility of some linear combination of commuting Moore-Penrose Hermitian matrices.
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Zakiya, Annisa Maula, Yanita ., and Nova Noliza Bakar. "MENENTUKAN INVERS MOORE-PENROSE DENGAN METODE BEN NOBLE." Jurnal Matematika UNAND 7, no. 1 (2018): 33. http://dx.doi.org/10.25077/jmu.7.1.33-42.2018.

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Abstak. Tulisan ini membahas tentang metode penghitungan invers Moore-Penrose darimatriks A 2 Cmndengan rank(A) > 0. Metode yang digunakan adalah metode BenNoble.Teori yang diperlukan untuk penghitungan invers Moore-Penrose menggunakanmetode Ben-Noble adalah faktorisasi full rank dan partisi matriks.Kata Kunci: Invers Moore-Penrose, Faktorisasi Full Rank, Matriks Partisi
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Dincic, Nebojsa. "Extending the Moore-Penrose inverse." Filomat 30, no. 2 (2016): 419–28. http://dx.doi.org/10.2298/fil1602419d.

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We show that it is possible to define generalized inverse similar to the Moore-Penrose inverse by slightly modified Penrose equations. Then we are Investigating properties of this, so-called extended Moore-Penrose inverse.
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Dissertations / Theses on the topic "Moore penrose"

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Santos, Ariane Rebelato Silva dos. "Um estudo sobre reconstrução de carregamentos dinâmicos usando pseudo-inversa de Moore-Penrose." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2018. http://hdl.handle.net/10183/178493.

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Determinar as forças que estão agindo em um dado sistema é uma questão frequente em dinâmica estrutural, de modo que a reconstrução ou a identificação de carregamento se torna um importante problema de engenharia. Quando um sistema é exposto a um carregamento desconhecido e/ou não se é possível medir diretamente a força atuante nesse sistema, se torna necessária a utilização de métodos inversos. Esta metodologia consiste essencialmente na aplicação de cargas dinâmicas pontuais nos modelos de estudo e posterior recuperação de estimativas dessas cargas nos pontos de interesse. Na prática, há sit
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López, Michelini Oswaldo Rafael. "Representación matricial de una aplicación lineal a través de la inversa generalizada de Moore-Penrose Aplicaciones." Master's thesis, Universidad Nacional Mayor de San Marcos, 2019. https://hdl.handle.net/20.500.12672/10395.

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Se ha construido la teoría formal de la inversa de Moore-Penrose, se ha determinado algunas expresiones de dicha inversa y se ha logrado dar una respuesta parcial a un problema que parece estar abierto.<br>Tesis
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Larsson, John. "Estimation and Theory of Tangency Portfolio Weights: Evidence from S&P Data." Thesis, Örebro universitet, Institutionen för naturvetenskap och teknik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:oru:diva-67483.

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En introduktion ges till portföljteori och tillämpning av tangentportföljen med en riskfri tillgång presenteras. Nyttofunktioner förklaras och hur tangentportföljen kan härledas med hjälp av en nyttofunktion. Annan bakgrundsinformation som är viktig för att förstå resultat från [1] om vikter i tangentportföljen då kovariansmatrisen inte är inverterbar presenteras också. Teorin tillämpas på historisk data från S&amp;P. Resultaten visas i grafer och tabeller som analyseras.
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Setzer, Katja [Verfasser]. "Definite Sturm-Liouville matrix differential equations and applications of Moore-Penrose inverses to related problems / Katja Setzer." Ulm : Universität Ulm. Fakultät für Mathematik und Wirtschaftswissenschaften, 2013. http://d-nb.info/1030316325/34.

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Ahy, Nathaniel, and Mikael Sierra. "Implied Volatility Surface Approximation under a Two-Factor Stochastic Volatility Model." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-40039.

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Due to recent research disproving old claims in financial mathematics such as constant volatility in option prices, new approaches have been incurred to analyze the implied volatility, namely stochastic volatility models. The use of stochastic volatility in option pricing is a relatively new and unexplored field of research with a lot of unknowns, where new answers are of great interest to anyone practicing valuation of derivative instruments such as options. With both single and two-factor stochastic volatility models containing various correlation structures with respect to the asset price and
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Novák, Jiří. "Metody FFD." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2017. http://www.nusl.cz/ntk/nusl-318794.

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The diploma thesis deals with the topic of free-form deformations. The main goal of this work were elaboration of theoretical knowledge about this issue and the programming of selected methods od free-form deformations. The first part describes the required spline theory, matrix calculus and free-form deformations. The resulting version shows three programs. The first program compares the selected free-form deformation methods to the example of the 4x4 control point grid. The second program serves as a generalization for the general case of grid of control points. The last program is based on
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Verliat, Jérôme. "Transformation de Aluthge et vecteurs extrémaux." Phd thesis, Université Claude Bernard - Lyon I, 2010. http://tel.archives-ouvertes.fr/tel-00733771.

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Cette thèse s'articule autour de deux thèmes : une transformation de B(H) introduite par Aluthge et la méthode d'Ansari-Enflo. La première partie fait l'objet de l'étude de la transformation d'Aluthge qui a eu un impact important ces dernières années en théorie des opérateurs. Des résultats optimaux sur la stabilité d'un certain nombre de classes d'opérateurs, telles que la classe des isométries partielles et les classes associées au comportement asymptotique d'un opérateur, sont fournis. Nous étudions également l'évolution d'invariants opératoriels, tels que le polynôme minimal, la fonction m
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Hernández, Araceli Elisabet. "Órdenes parciales y pre-órdenes definidos a partir de matrices inversas generalizadas." Doctoral thesis, Universitat Politècnica de València, 2016. http://hdl.handle.net/10251/64070.

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[EN] Matrix Analysis and its applications are an important area of Applied Mathematics and are the basis of many industrial applications and for engineering in general. This work can be classified as being part of Matrix Analysis. Some partial orders and pre-orders defined in terms of generalized inverses on different sets of complex matrices are studied. In the first part of this thesis the star partial order on the class of EP matrices is studied. In this work some results obtained by Merikoski and Liu are extended to the class of EP matrices. Successors and predecessors of an EP matrix are
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Archid, Atika. "Méthodes par blocs adaptées aux matrices structurées et au calcul du pseudo-inverse." Thesis, Littoral, 2013. http://www.theses.fr/2013DUNK0394/document.

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Nous nous intéressons dans cette thèse, à l'étude de certaines méthodes numériques de type krylov dans le cas symplectique, en utilisant la technique de blocs. Ces méthodes, contrairement aux méthodes classiques, permettent à la matrice réduite de conserver la structure Hamiltonienne ou anti-Hamiltonienne ou encore symplectique d'une matrice donnée. Parmi ces méthodes, nous nous sommes intéressés à la méthodes d'Arnoldi symplectique par bloc que nous appelons aussi bloc J-Arnoldi. Notre but essentiel est d’étudier cette méthode de façon théorique et numérique, sur la nouvelle structure du K-mo
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Voborníková, Iveta. "Maticové výpočty pro roztoky a směsi vícesložkové." Master's thesis, 2021. http://www.nusl.cz/ntk/nusl-446375.

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Charles University in Prague, Faculty of Pharmacy in Hradec Králové Department of Biophysics and Physical Chemistry Candidate: Iveta Voborníková Thesis supervisor: doc. Dipl.-Math. Erik Jurjen Duintjer Tebbens, Ph.D. Title of diploma thesis: Matrix computations for mixtures and solutions In this work, we determined drug concentrations from mixtures using multicompo- nent analysis without separating them. The condition was the knowledge of the molar absorption coefficients of individual drugs for certain wavelenghts. To do this, we used tools from matrix calculations, especially the Moore-Penro
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Books on the topic "Moore penrose"

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Battle, Gregory. An Introduction To Moore-Penrose Rings: Volume I. iUniverse, Inc., 2006.

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D'Agostino, Susan. How to Free Your Inner Mathematician. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198843597.001.0001.

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How to Free Your Inner Mathematician: Notes on Mathematics and Life offers readers guidance in managing the fear, freedom, frustration, and joy that often accompany calls to think mathematically. With practical insight and years of award-winning mathematics teaching experience, DAgostino offers more than 300 hand-drawn sketches alongside accessible descriptions of fractals, symmetry, fuzzy logic, knot theory, Penrose patterns, infinity, the Twin Prime Conjecture, Arrows Impossibility Theorem, Fermats Last Theorem, and other intriguing mathematical topics. Readers are encouraged to embrace chan
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Penrose, Angela. Introduction. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198753940.003.0001.

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In 1994 the Academy of International Business elected Edith Penrose an Emeritus Distinguished Fellow of the Academy—an honour only bestowed once before, on Charles Kindleberger. Her distinctive contribution was singled out in two areas; the theory of the growth of the firm and the understanding of the interface between the strategies and activities of international and multinational enterprises and the nation states—particularly the developing countries—in which they operated. The first topic engaged her in the 1950s and early 1960s, the latter in the later 1960s and 1970s. These topics led on
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Deruelle, Nathalie, and Jean-Philippe Uzan. The physics of black holes II. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0050.

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This chapter gives a brief description of Hawking radiation, which involves a combination of general relativity and quantum field theory and leads to a thermodynamical interpretation of the laws governing the evolution of black holes. The study of the Penrose process near a Kerr black hole leads to the conclusion that its irreducible mass can only increase. A similar but more general conclusion was reached by Hawking, who showed that the sum of the areas of the horizons of black holes interacting with matter can only increase, with the condition that the cosmic censorship hypothesis is valid a
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Chung, Sue Fawn. Farther East: Island Mountain and Gold Creek. University of Illinois Press, 2017. http://dx.doi.org/10.5406/illinois/9780252036286.003.0004.

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This chapter provides a more in-depth study of a small Nevada mining town called Island Mountain and the Chinese miners, merchants, and other residents. Founded by Emanuel Penrod, the town was predominantly Chinese and economic interdependence led to positive social interactions. Penrod had recognized the need for Chinese workers and adopted a policy of working with them, thus providing a harmonious atmosphere. Other residents followed his lead. This allowed the Chinese merchant China Lem (the name given to two brothers who lived there, one after the other), and his friends and associates who
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Wright, Aaron Sidney. More than Nothing. Oxford University PressNew York, 2024. http://dx.doi.org/10.1093/oso/9780190062804.001.0001.

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Abstract This book is a history of how it came to be that our best physical theories of particles, gravity, and spacetime are theories of the vacuum, of empty space. Today, physicists calculate “vacuum expectation values,” predict the influence of “vacuum fluctuations,” and describe universes and black holes composed of dynamic, yet empty, spacetime. More than this, vacuum physics seems paradoxical. Physicists depict the vacuum as by turns placid and roiling; as a rippling sheet and a crashing sea. More than Nothing provides new interpretations of seminal advances in the history of relativisti
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Book chapters on the topic "Moore penrose"

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Golan, Jonathan S. "Moore–Penrose Pseudoinverses." In The Linear Algebra a Beginning Graduate Student Ought to Know. Springer Netherlands, 2012. http://dx.doi.org/10.1007/978-94-007-2636-9_19.

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Schmidt, Karsten, and Götz Trenkler. "Moore-Penrose-Inverse." In Moderne Matrix-Algebra. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-08806-7_7.

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Schmidt, Karsten, and Götz Trenkler. "MOORE-PENROSE-INVERSE." In Einführung in die Moderne Matrix-Algebra. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46773-2_6.

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Aydede, Yigit. "Moore-Penrose Inverse." In Machine Learning Toolbox for Social Scientists. Chapman and Hall/CRC, 2023. http://dx.doi.org/10.1201/9781003381501-37.

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Chen, Jianlong, and Xiaoxiang Zhang. "Moore-Penrose Inverses." In Algebraic Theory of Generalized Inverses. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-8285-1_2.

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Harville, David A. "The Moore-Penrose Inverse." In Matrix Algebra From a Statistician’s Perspective. Springer New York, 1997. http://dx.doi.org/10.1007/0-387-22677-x_20.

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Harville, David A. "The Moore-Penrose Inverse." In Matrix Algebra: Exercises and Solutions. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0181-3_20.

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Golan, Jonathan S. "The Moore-Penrose Pseudoinverse." In Kluwer Texts in the Mathematical Sciences. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8502-6_16.

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Wang, Guorong, Yimin Wei, and Sanzheng Qiao. "Perturbation Analysis of the Moore-Penrose Inverse and the Weighted Moore-Penrose Inverse." In Generalized Inverses: Theory and Computations. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0146-9_8.

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Wang, Guorong, Yimin Wei, and Sanzheng Qiao. "Moore-Penrose Inverse of Linear Operators." In Generalized Inverses: Theory and Computations. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0146-9_11.

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Conference papers on the topic "Moore penrose"

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Majewski, Paweł, Wojciech P. Hunek, Marek Krok, Tomasz Feliks, and Emilia Helińska. "Robust GMVC algorithm undermining the employment of the Moore–Penrose inverse." In 2024 28th International Conference on Methods and Models in Automation and Robotics (MMAR). IEEE, 2024. http://dx.doi.org/10.1109/mmar62187.2024.10680809.

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Lin, Tse-Yu, and Yen-lung Tsai. "On the Continuity of Moore-Penrose Inverse of the Graph Laplacian." In 2024 IEEE 13th Global Conference on Consumer Electronics (GCCE). IEEE, 2024. https://doi.org/10.1109/gcce62371.2024.10760335.

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P S, Vishnu, and Subrahmanyam Mula. "A Parameterized VLSI Architecture for Real-Time Inversion of Square Matrices and Moore-Penrose Pseudoinversion of Rectangular Matrices." In 2024 31st IEEE International Conference on Electronics, Circuits and Systems (ICECS). IEEE, 2024. https://doi.org/10.1109/icecs61496.2024.10848994.

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King, Frank, Alexander Steinwandel, and Walter Fichter. "Performance Characteristics of Symmetrized In-Flight Tracking Control." In Vertical Flight Society 70th Annual Forum & Technology Display. The Vertical Flight Society, 2014. http://dx.doi.org/10.4050/f-0070-2014-9493.

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In this paper an in-flight tracking control system minimizing vibratory loads at the frequencies 1/rev and 2/rev using steady deflections of active trailing-edge flaps is examined. The control system is based on the relaxed HHC algorithm and uses the Moore-Penrose pseudoinverse of a symmetrized transfer matrix to calculate the control commands for vibration reduction. The focus of the current investigation is on symmetrization effects of the transfer matrices used for controller design on the performance of the control system. In a theoretical pre-flight analysis bounds for the stationary solu
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Dokmanic, Ivan, Mihailo Kolundzija, and Martin Vetterli. "Beyond Moore-Penrose: Sparse pseudoinverse." In ICASSP 2013 - 2013 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2013. http://dx.doi.org/10.1109/icassp.2013.6638923.

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Tausiesakul, Bamrung. "Soft Homotopy via Moore-Penrose Inverse." In 2022 7th International Conference on Smart and Sustainable Technologies (SpliTech). IEEE, 2022. http://dx.doi.org/10.23919/splitech55088.2022.9854267.

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Tausiesakul, Bamrung. "Soft Homotopy through Moore-Penrose Inverse." In 2022 IEEE 9th International Conference on Computational Intelligence and Virtual Environments for Measurement Systems and Applications (CIVEMSA). IEEE, 2022. http://dx.doi.org/10.1109/civemsa53371.2022.9853651.

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Qiu*, Zhang, Junhua Zhang, Zhang Xiao Hui, Hu Wen, and Liu Lei. "Research on spectral inversion method based on Moore-Penrose algorithm." In International Geophysical Conference, Qingdao, China, 17-20 April 2017. Society of Exploration Geophysicists and Chinese Petroleum Society, 2017. http://dx.doi.org/10.1190/igc2017-126.

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López-Tapia, Santiago, Javier Mateos, Rafael Molina, and Aggelos K. Katsaggelos. "Deep Robust Image Restoration Using the Moore-Penrose Blur Inverse." In 2023 IEEE International Conference on Image Processing (ICIP). IEEE, 2023. http://dx.doi.org/10.1109/icip49359.2023.10223181.

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Liu, Xin, and Yanxia Liang. "A Novel Moore-Penrose-inverse-matrix-based Data Compression Method." In 2021 IEEE 3rd International Conference on Civil Aviation Safety and Information Technology (ICCASIT). IEEE, 2021. http://dx.doi.org/10.1109/iccasit53235.2021.9633762.

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Reports on the topic "Moore penrose"

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Kaffes, D. G., M. B. Rao, T. Mathew, and K. Subramanyam. On the Matrix Convexity of the Moore-Penrose Inverse and Some Applications. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada158992.

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