Results 41 to 50 of about 24,845 (203)
A generalized Schur complement for non-negative operators on linear space
, 2017 Extending the corresponding notion for matrices or bounded linear operators on a Hilbert space we define a generalized Schur complement for a non-negative linear operator mapping a linear space into its dual and derive some of its ...
Friedrich, J., Günther, M., Klotz, L.
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Commutative Schur Rings Over Symmetric Groups II: The Case n=6 [PDF]
, 2015 We determine the commutative Schur rings over $S_6$ that contain the sum of all the transpositions in $S_6$. There are eight such types (up to conjugacy), of which four have the set of all the transpositions as a principal set of the Schur ...
Francis, Amanda E. +1 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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Solution Bounds and Numerical Methods of the Unified Algebraic Lyapunov Equation
Mathematics, 2022 In this paper, applying some properties of matrix inequality and Schur complement, we give new upper and lower bounds of the solution for the unified algebraic Lyapunov equation that generalize the forms of discrete and continuous Lyapunov matrix ...
Juan Zhang, Shifeng Li, Xiangyang Gan
doaj +1 more source
On the Order of the Schur Multiplier of a Pair of Finite p-Groups [PDF]
, 2013 In 1998, G. Ellis defined the Schur multiplier of a pair $(G,N)$ of groups and mentioned that this notion is a useful tool for studying pairs of groups.
A. Hokmabadi +3 more
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Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
Quarterly Journal of the Royal Meteorological Society, EarlyView.Key Findings: An assimilation methodology is established for the Tomorrow.io microwave sounder (TMS) flying on CubeSats in sun‐synchronous and inclined orbits, and in all cloud scenes. The TMS has a significant impact on weather forecast lead times up to 3 days in the Tropics in a research‐quality numerical weather prediction setting, and yields water ...
Jonathan J. Guerrette +3 more
wiley +1 more source
, 2017 The importance of Schur complement based preconditioners are well-established for classical saddle point problems in $\mathbb{R}^N \times \mathbb{R}^M$. In this paper we extend these results to multiple saddle point problems in Hilbert spaces $X_1\times ...
Sogn, Jarle, Zulehner, Walter
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, 2020 For both isothermal and thermal petroleum reservoir simulation, the Constrained Pressure Residual (CPR) method is the industry-standard preconditioner. This method is a two-stage process involving the solution of a restricted pressure system.
Jönsthövel, Tom B +3 more
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A structurally localized ensemble Kalman filtering approach
Quarterly Journal of the Royal Meteorological Society, EarlyView.We derive an inherently localized ensemble Kalman filtering (EnKF) approach, avoiding the need for any auxiliary localization technique. The idea is to first use the variational Bayesian optimization to approximate the (continuous) state analysis probability density function (pdf) by a product of independent marginal pdfs corresponding to small ...
Boujemaa Ait‐El‐Fquih +1 more
wiley +1 more source