It is common understanding that as quantum computing gets its feet under itself, it will work hand-in-hand with classical supercomputers and leverage what rapidly evolving AI tools can offer to begin ...

Abstract: For parahermitian polynomial matrices, which can be used, for example, to characterize space-time covariance in broadband array processing, the conventional eigenvalue decomposition (EVD) ...

using Diagonalizations, PosDefManifold, Test n, t=10, 100 # generate an nxt data matrix X=genDataMatrix(n, t) # principal component analysis pX=pca(X) # the following is an equivalent constructor ...

I am @Ohayougozaimasu, an HSP and anti-Todai-ism advocate. "Mathematics for University" (Kenbunshoin) was a famous reference book for entrance exam mathematics. While it is supported by top-tier ...

Abstract: Approximate Joint Diagonalization of a matrix set can solve the linear Blind Source Separation problem. If the data possesses a bilinear structure, for example a spatio-temporal structure, ...

Real-time hybrid simulation (RTHS) is a widely applied test method in structural engineering, which is developed from pseudo-dynamic test. Much of the past work has been centered on one-dimensional ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. Two of the most widely used electronic-structure theory methods, namely, Hartree–Fock ...

Dynamic complex matrix equation (DCME) is frequently encountered in the fields of mathematics and industry, and numerous recurrent neural network (RNN) models have been reported to effectively find ...