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A Low-rank Interpolatory Projection Algorithm for Solving Large-scale T-Sylvester Equations

arXiv:2606.05640v1 Announce Type: new Abstract: This paper considers large-scale T-Sylvester equations of the form $AX - X^\top E^\top + B_1B_2^\top = 0$, which admit a low-rank solution. It is shown that when the unique solution of the T-Sylvester equation is low-rank, the problem naturally reduces to a tangential interpolation problem via oblique projection. The specific interpolation points and tangential directions needed to obtain the low-rank solution are not known a priori, thus...

arXiv CS 5d ago

Man charged after confrontation over a dog turned deadly on Hollywood Walk of Fame

Man charged after confrontation over a dog turned deadly on Hollywood Walk of Fame The attack unfolded near stars for several celebrities, including Dolly Parton and Diana Ross - Bookmark A dog owner with a history of violence was charged with murder for his part in a group attack that turned deadly on the Hollywood Walk of Fame last month. Patrick Randall Perry, 55, is the fourth person charged in the broad daylight killing of 37-year-old Berry Le’Mar Henderson on May 20, the Los Angeles...

The Independent World 8d ago

Paramount+ Coupon Codes and Deals for June 2026

Once the most talked-about TV show in the country, South Park, is on Paramount+. Don’t you want to know what got Trump in such a tizzy? Stream the much buzzed-about South Park, fan-favorite Yellowstone, original series MobLand, and rebooted crime drama Dexter & Dexter on Paramount+.

Wired 7d ago

$H_2$ optimal model reduction of linear systems with multiple quadratic outputs

Announce Type: replace Abstract: In this work, we consider the $H_2$ optimal model reduction of dynamical systems that are linear in the state equation and up to quadratic nonlinearity in the output equation. As our primary theoretical contributions, we derive gradients of the squared $H_2$ system error with respect to the reduced model quantities and, from the stationary points of these gradients, introduce Gramian-based first-order necessary conditions for the $H_2$ optimal approximation...

arXiv CS 7d ago

Closed-form Solution of Wahba's Problem for Pairwise Similar Quaternions

arXiv:2512.07597v3 Announce Type: replace-cross Abstract: Wahba's problem is fundamental to spacecraft attitude estimation, seeking the optimal rotation that minimizes the weighted misalignment between sets of vector observations. Traditional solvers, including Davenport's $q$-method, QUEST, and ESOQ, reformulate the problem as an eigenvalue task for a $4 \times 4$ symmetric matrix, a process that obscures the underlying algebraic structure of the solution. This paper presents a novel,...

arXiv CS 1d ago

Freedom 250: Who’s in and out after several artists drop Trump’s concert event

Freedom 250: Who’s in and out after several artists drop Trump’s concert event “The Great American State Fair” is a series of concerts, exhibits, tributes and other programs scheduled to take place June 25 to July 10 on Washington’s National Mall - Bookmark - CommentsGo to comments “The Great American State Fair” is a series of concerts, exhibits, tributes and other programs scheduled to take place June 25 to July 10 on Washington’s National Mall. It was organized by Freedom 250, which is...

The Independent World 8d ago