Relevant bibliographies by topics / Block operator matrices

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

Academic literature on the topic 'Block operator matrices'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

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Journal articles on the topic "Block operator matrices"

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Albeverio, Sergio, Konstantin A. Makarov, and Alexander K. Motovilov. "Graph Subspaces and the Spectral Shift Function." Canadian Journal of Mathematics 55, no. 3 (2003): 449–503. http://dx.doi.org/10.4153/cjm-2003-020-7.

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AbstractWe obtain a new representation for the solution to the operator Sylvester equation in the form of a Stieltjes operator integral. We also formulate new sufficient conditions for the strong solvability of the operator Riccati equation that ensures the existence of reducing graph subspaces for block operator matrices. Next, we extend the concept of the Lifshits-Krein spectral shift function associated with a pair of self-adjoint operators to the case of pairs of admissible operators that are similar to self-adjoint operators. Based on this new concept we express the spectral shift functio
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Abdelmoumen, Boulbeba, and Sonia Yengui. "Perturbation theory, M-essential spectra of operator matrices." Filomat 34, no. 4 (2020): 1187–96. http://dx.doi.org/10.2298/fil2004187a.

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In this paper, we will establish some results on perturbation theory of block operator matrices acting on Xn, where X is a Banach space. These results are exploited to investigate the M-essential spectra of a general class of operators defined by a 3x3 block operator matrix acting on a product of Banach spaces X3.
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Abdelmoumen, Boulbeba, and Sonia Yengui. "Perturbation theory, M-essential spectra of operator matrices." Filomat 34, no. 4 (2020): 1187–96. http://dx.doi.org/10.2298/fil2004187a.

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In this paper, we will establish some results on perturbation theory of block operator matrices acting on Xn, where X is a Banach space. These results are exploited to investigate the M-essential spectra of a general class of operators defined by a 3x3 block operator matrix acting on a product of Banach spaces X3.
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Liu, Rufang, Haiyan Zhang, and Chunyuan Deng. "On the mixed-type generalized inverses of the products of two operators." Filomat 33, no. 14 (2019): 4361–76. http://dx.doi.org/10.2298/fil1914361l.

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Let A, B and be closed range operators. The explicit matrix expressions for various generalized inverses are obtained by using block operator matrix methods. Some subtle relationships between the properties of sub-blocks in operator matrices A, B and their range relations are built. New necessary and sufficient conditions for the equivalent relations, inclusion relations and mixed-type generalized inverses relations are presented. Some recent mixed-type reverse-order laws results are covered and many new mixed-type generalized inverses relations are established by using this block-operator mat
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Rasulov, Tulkin Khusenovich, and Zarina Erkin kizi Mustafoeva. "ON THE POIN ON THE POINT SPECTRUM OF OPERA TRUM OF OPERATOR MATRIX COMIMG T X COMIMG TO A A DIAGONALIZABLE MATRIX." Scientific Reports of Bukhara State University 3, no. 4 (2019): 14–19. http://dx.doi.org/10.52297/2181-1466/2019/3/4/4.

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It isconsidered herethediagonalizable operatormatrix . The essential and point spectrum of are described via the spectrum of the more simpler operator matrices. If the elements of a matrix are linear operators in Banach or Hilbert spaces, then it is called a block-operator matrix. One of the special classes of block operator matrices are the Hamiltonians of a system with a nonconserved number of quantum particles on an integer or noninteger lattice. The inclusion for the discrete spectrum of is established.
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Filipiak, Katarzyna, Daniel Klein, and Erika Vojtková. "The properties of partial trace and block trace operators of partitioned matrices." Electronic Journal of Linear Algebra 33 (May 16, 2018): 3–15. http://dx.doi.org/10.13001/1081-3810.3688.

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The aim of this paper is to give the properties of two linear operators defined on non-square partitioned matrix: the partial trace operator and the block trace operator. The conditions for symmetry, nonnegativity, and positive-definiteness are given, as well as the relations between partial trace and block trace operators with standard trace, vectorizing and the Kronecker product operators. Both partial trace as well as block trace operators can be widely used in statistics, for example in the estimation of unknown parameters under the multi-level multivariate models or in the theory of exper
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Yu, Jiahui, Alatancang Chen, Junjie Huang, and Jiaojiao Wu. "Approximation of the block numerical range of block operator matrices." Filomat 33, no. 12 (2019): 3877–81. http://dx.doi.org/10.2298/fil1912877y.

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Jiang, Xiaoyu, and Kicheon Hong. "Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices." Abstract and Applied Analysis 2015 (2015): 1–5. http://dx.doi.org/10.1155/2015/521214.

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Circulant, block circulant-type matrices and operator norms have become effective tools in solving networked systems. In this paper, the block imaginary circulant operator matrices are discussed. By utilizing the special structure of such matrices, several norm equalities and inequalities are presented. The normτin consideration is the weakly unitarily invariant norm, which satisfiesτA=τ(UAV). The usual operator norm and Schattenp-norm are included. Furthermore, some special cases and examples are given.
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Tretter, Christiane. "Spectral inclusion for unbounded block operator matrices." Journal of Functional Analysis 256, no. 11 (2009): 3806–29. http://dx.doi.org/10.1016/j.jfa.2008.12.024.

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BOURIN, JEAN-CHRISTOPHE. "MATRIX SUBADDITIVITY INEQUALITIES AND BLOCK-MATRICES." International Journal of Mathematics 20, no. 06 (2009): 679–91. http://dx.doi.org/10.1142/s0129167x09005509.

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We give a number of subadditivity results and conjectures for symmetric norms, matrices and block-matrices. Let A, B, Z be matrices of same size and suppose that A, B are normal and Z is expansive, i.e. Z*Z ≥ I. We conjecture that [Formula: see text] for all non-negative concave function f on [0,∞) and all symmetric norms ‖ · ‖ (in particular for all Schatten p-norms). This would extend known results for positive operator to all normal operators. We prove these inequalities in several cases and we propose some related open questions, both in the positive and normal cases. As nice applications
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Dissertations / Theses on the topic "Block operator matrices"

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Torshage, Axel. "Non-selfadjoint operator functions." Doctoral thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-143085.

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Spectral properties of linear operators and operator functions can be used to analyze models in nature. When dispersion and damping are taken into account, the dependence of the spectral parameter is in general non-linear and the operators are not selfadjoint. In this thesis non-selfadjoint operator functions are studied and several methods for obtaining properties of unbounded non-selfadjoint operator functions are presented. Equivalence is used to characterize operator functions since two equivalent operators share many significant characteristics such as the spectrum and closeness. Methods
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Carvalho, Silas Luiz de. "Espectro e dimensão Hausdorff de operadores bloco-Jacobi com perturbações esparsas distribuídas aleatoriamente." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-21122010-145625/.

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Neste trabalho buscamos caracterizar o espectro de uma classe de operadores bloco--Jacobi limitados definidos em $l^2(\\Lambda,\\mathbb{C}^L)$ ($\\Lambda: \\mathbb{Z}_+\\times\\{0,1,\\ldots,L-1\\}$ representa uma faixa de largura $L\\ge 2$ no semi--plano $\\mathbb{Z}_+^2$) e sujeitos a perturbações esparsas (no sentido que as distâncias entre as ``barreiras\'\' crescem geometricamente à medida que estas se afastam da origem) distribuídas aleatoriamente. Tais operadores são construídos a partir da soma de Kronecker de matrizes de Jacobi $J$, cada qual atuando em uma direção do espaço. Dem
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Nadimpalli, Santosh VRN. "Typical representations for GL_n(F)." Thesis, Paris 11, 2015. http://www.theses.fr/2015PA112090/document.

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Dans cette thèse, nous classifions représentations typiques pour certaines composants Bernstein. Suite aux travaux de Henniart dans le cas de GL_2(F) et Paskunas pour les composants cuspidales, nous classifions représentations typiques pour les composants de niveau zéro pour GL_n(F) pour n> 2, composants de série principale, composants avec Levi sous-groupe de la forme (n, 1) pour n>1 et certains composants avec sous-groupe de Levi de la forme (2,2). Chacun des composants ci-dessus est traité dans un chapitre distinct. La classification utilise la théorie des types développés par Bushnel
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Books on the topic "Block operator matrices"

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Jeribi, Aref. Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17566-9.

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Spectral Theory of Block Operator Matrices and Applications. Imperial College Press, 2008.

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Jeribi, Aref. Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Springer, 2016.

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Book chapters on the topic "Block operator matrices"

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Sakhnovich, Lev. "Infinite Hankel Block Matrices, Extremal Problems." In Topics in Operator Theory. Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0158-0_27.

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Jeribi, Aref. "Essential Spectra of 2 × 2 Block Operator Matrices." In Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17566-9_10.

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Jeribi, Aref. "Essential Spectra of 3 × 3 Block Operator Matrices." In Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17566-9_11.

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Trunk, Carsten. "Analyticity of Semigroups Related to a Class of Block Operator Matrices." In Operator Algebras, Operator Theory and Applications. Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-0346-0174-0_13.

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Constantinescu, T. "Schur Analysis of Positive Block-Matrices." In I. Schur Methods in Operator Theory and Signal Processing. Birkhäuser Basel, 1986. http://dx.doi.org/10.1007/978-3-0348-5483-2_7.

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Mingo, James A., and Roland Speicher. "Operator-Valued Free Probability Theory and Block Random Matrices." In Free Probability and Random Matrices. Springer New York, 2017. http://dx.doi.org/10.1007/978-1-4939-6942-5_9.

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Langer, Heinz, and Christiane Tretter. "Diagonalization of Certain Block Operator Matrices and Applications to Dirac Operators." In Operator Theory and Analysis. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8283-5_13.

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Koltracht, I., and P. Lancaster. "Condition Numbers of Toeplitz and Block Toeplitz Matrices." In I. Schur Methods in Operator Theory and Signal Processing. Birkhäuser Basel, 1986. http://dx.doi.org/10.1007/978-3-0348-5483-2_11.

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Jeribi, Aref. "Introduction." In Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17566-9_1.

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Jeribi, Aref. "Spectral Graph Theory." In Spectral Theory and Applications of Linear Operators and Block Operator Matrices. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17566-9_12.

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Conference papers on the topic "Block operator matrices"

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Chellappa, Sudarsanam, and Alejandro R. Diaz. "Model Reduction in Structural Analysis Using a Multiresolution Analysis." In ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/detc2002/dac-34077.

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A method is presented to reduce the size of models used in analysis of elastic systems. The reduction is accomplished using a multiresolution analysis applied to elasticity operators to average fine scale properties and behavior while limiting loss of information. In discretized form, the method results in smaller matrices that can be used as building blocks to construct larger systems. The principal application envisioned is in design problems involving complex structural systems, such as crash-worthiness design, where very intensive computations demand computational efficiency.
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Andrade, Matheus Guedes de, Franklin De Lima Marquezino, and Daniel Ratton Figueiredo. "Characterizing the Relationship Between Unitary Quantum Walks and Non-Homogeneous Random Walks." In Concurso de Teses e Dissertações da SBC. Sociedade Brasileira de Computação, 2021. http://dx.doi.org/10.5753/ctd.2021.15756.

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Quantum walks on graphs are ubiquitous in quantum computing finding a myriad of applications. Likewise, random walks on graphs are a fundamental building block for a large number of algorithms with diverse applications. While the relationship between quantum and random walks has been recently discussed in specific scenarios, this work establishes a formal equivalence between the two processes on arbitrary finite graphs and general conditions for shift and coin operators. It requires empowering random walks with time heterogeneity, where the transition probability of the walker is non-uniform a
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Zhang, Liping, Delun Wang, and Jian S. Dai. "Automated Conceptual Design for Hybrid Mechanisms Based on Characteristic State Space Theory." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-49910.

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A new methodology for automated conceptual design of hybrid combined mechanical system based on the characteristic state space approach is developed. The goal is to conceive the appropriate hybrid system given only the kinematic function posed in the problem specifications. The key enabler of the conceptual synthesis is the method of capturing kinematic behavior and transforming the continuous and non-linear motion into the discrete states and linear relation characteristic stack representation. A new characteristic state analyzing method for multi-dof primary mechanism blocks is proposed. The
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