Abstract: This paper presents factorizations of each discrete sine transform (DST) matrix of types I, II, III, and IV into a product of sparse, diagonal, bidiagonal, and scaled orthogonal matrices.

Abstract: Discrete orthogonal matrices have applications in information coding and cryptography. It is often challenging to generate discrete orthogonal matrices. A common approach widely in use is to ...

When The Matrix premiered in 1999, the film not only changed movies forever, it changed the way people saw the world around them. Now, more than 25 years later, Cosm has partnered with Warner Bros.

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. The development of low-loss reconfigurable integrated optical devices enables further ...

This repository implements the Householder transformation algorithm for calculating orthogonal matrices and orthonormal frames. The algorithm is implemented as a Python package with differentiable ...

A new publication from Opto-Electronic Advances; DOI 10.29026/oea.2024.230180, discusses orthogonal matrix of polarization combinations: concept and application to multichannel holographic recording.

Warner Bros. is ready to re-enter The Matrix. A new "Matrix" film is in the works at Warner Bros. Pictures, with Drew Goddard ("The Cabin in the Woods") set to write and direct, the studio revealed on ...

Model order reduction allows critical information about sensor placement and experiment design to be distilled from raw fluid mechanics simulation data. In many cases, sensed information in ...