Results 111 to 120 of about 2,715,472 (212)
Action of W$W$‐type operators on Schur functions and Schur Q‐functions
Journal of the London Mathematical SocietyAbstractIn this paper, we investigate a series of W‐type differential operators, which appear naturally in the symmetry algebras of KP and BKP hierarchies. In particular, they include all operators in the W‐constraints for tau‐functions of higher KdV hierarchies that satisfy the string equation. We will give simple uniform formulas for actions of these
Liu, Xiaobo, Yang, Chenglang
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A Randomized Algorithm for Simultaneously Diagonalizing Symmetric Matrices by Congruence
Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.ABSTRACT A family of symmetric matrices A1,…,Ad$$ {A}_1,\dots, {A}_d $$ is simultaneously diagonalizable by congruence (SDC), also called nonorthogonal joint diagonalization, if there is an invertible matrix X$$ X $$ such that every XTAkX$$ {X}^T{A}_kX $$ is diagonal. In this work, a novel randomized SDC (RSDC) algorithm is proposed that reduces SDC to
Haoze He, Daniel Kressner
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Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.ABSTRACT Vector extrapolation techniques can be highly effective when used to accelerate the convergence of fixed‐point iterative methods, such as the Picard method. In this study, we investigate the numerical solution of nonlinear problems. Specifically, we address the nonlinear eigenvalue Bratu problem and the Monge–Ampère equation using a multigrid ...
Abdellatif Mouhssine +2 more
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On a conjecture on 2-reduced Schur functions and Schur's Q-functions
, 2022 Motivated by Sato and Mori's work on the Korteweg-de Vries (KdV) equation and the modified KdV equation, Mizukawa, Nakajima, and Yamada made a conjecture on 2-reduced Schur functions and Schur's Q-functions. The conjecture claims that certain sums of products of a Littlewood-Richardson coefficient and two 2-reduced Schur functions are equal to Schur's ...
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International Journal of Robust and Nonlinear Control, Volume 36, Issue 15, Page 7088-7101, October 2026.ABSTRACT This paper presents novel results regarding the input–output finite‐time stability (IO‐FTS) of nonlinear quadratic systems (NLQSs), a class of dynamical models particularly useful for the study of robotic systems, biochemical reaction networks, and other processes of interest to the applied sciences.
Alessio Merola +5 more
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Refined and Generalized Versions of Hölder’s Inequality via Schur Convexity of Functions
Journal of Function SpacesIn this paper, we introduce a class of functions associated with Hölder’s inequality and show the Schur convexities of these functions. With the help of Schur convexity, several improved versions of Hölder’s inequality are established.
Shanhe Wu
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Absorption of closed strings by giant gravitons
Journal of High Energy Physics, 2019 A new approach to the computation of correlation functions involving two determinant operators as well as one non-protected single trace operator has recently been developed by Jiang, Komatsu and Vescovi.
Gaoli Chen +3 more
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Large Covariance Matrix Estimation by Penalized Log‐Det Heuristics
Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 5, October 2026.ABSTRACT We study covariance estimation in high‐dimensional approximate factor models with a sparse residual covariance. The estimator combines a log‐det loss with nuclear‐norm and off‐diagonal ℓ1$$ {\mathrm{\ell}}_1 $$ penalties on a sample‐normalized covariance scale.
Enrico Bernardi, Matteo Farnè
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Dependence properties of bivariate copula families
Dependence ModelingMotivated by recently investigated results on dependence measures and robust risk models, this article provides an overview of dependence properties of many well known bivariate copula families, where the focus is on the Schur order for conditional ...
Ansari Jonathan, Rockel Marcus
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TAXON, Volume 75, Issue 5, October 2026.Abstract Scilla s.l. (Asparagaceae: Scilloideae) represents a notable Mediterranean geophyte radiation, yet genus delimitation in subtribe Hyacinthinae has long suffered from inconsistent and conflicting generic concepts. A limited set of informative morphological characters and recurrent shifts in circumscription have repeatedly hindered progress ...
Tim Böhnert +6 more
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