Results 21 to 30 of about 957 (194)
Complementary Schur complements
Linear Algebra and its Applications, 1994 Let \(M\) and \(N\) be \(m\times m\) and \(n\times n\) complex matrices, respectively. The authors define \(M\) and \(N\) to be ``Schur coupled'' if there exist matrices \(A,B,C\) and \(D\) such that \(M=D-CA^{-1}B\) and \(N=A- BD^{-1}C\). The main result of this paper is that the following are equivalent: (i) \(M\) and \(N\) are Schur coupled; (ii ...
Bart, Harm, Tsekanovskii, VE
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Generalized Schur complements and P-complementable operators
Linear Algebra and its Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Massey, Pedro Gustavo +1 more
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New Journal of Physics, 2013 Thermoelectric transport involving an arbitrary number of terminals is discussed in the presence of a magnetic field breaking time-reversal symmetry within the linear response regime using the Landauer–Büttiker formalism.
Kay Brandner, Udo Seifert
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Six generalized Schur complements
Linear Algebra and its Applications, 1988 The authors give a unified treatment of equivalence between some old and new generalizations of the Schur complement of matrices.
Butler, C.A., Morley, T.D.
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Journal of the Mechanical Behavior of Materials, 2015 This paper introduces constructing convex-relaxed programs for nonconvex optimization problems. Branch-and-bound algorithms are convex-relaxation-based techniques.
Keller André A.
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Journal of Combinatorial Theory, Series A, 1973 AbstractA new proof is given for Haynsworth's formula for Schur's complement.
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Linear Algebra and its Applications, 1978 AbstractIt is shown that for any square matrix having a left triangle of zeros, the determinants of its inners are equal to the leading principal minors of its Schur complement. In particular, if the original matrix has Sylvester-type form, then relationship between zero location theorems for polynomials are recovered.
Barnett, S., Jury, E.I.
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Gaussian entanglement revisited
New Journal of Physics, 2018 We present a novel approach to the separability problem for Gaussian quantum states of bosonic continuous variable systems. We derive a simplified necessary and sufficient separability criterion for arbitrary Gaussian states of m versus n modes, which ...
Ludovico Lami +2 more
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Complementable operators and their Schur complements
Indian Journal of Pure and Applied MathematicsIn this paper, we characterize complementable operators and provide more precise expressions for the Schur complement of these operators using a single Douglas solution. We demonstrate the existence of subspaces where the given operator is invariably complementable. Additionally, we investigate the range-Hermitian property of these operators.
Naik, Sachin Manjunath, Johnson, P. Sam
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Advanced Intelligent Systems, EarlyView.: In this work, Voxel‐SLAM (simultaneous localization and mapping) is introduced: a complete, accurate, and versatile LiDAR (light detection and ranging) ‐inertial SLAM system consisting of five modules: initialization, odometry, local mapping (LM), loop closure (LC), and global mapping (GM), all employing the same map representation, an adaptive voxel
Zheng Liu +9 more
wiley +1 more source