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We overview the main equations of the Rayleigh–Ritz variational method and discuss their connection with the problem of simultaneous diagonalization of two Hermitian matrices.

High-accuracy solution of the Dirac equation for three-dimensional (3D) hydrogen atom is theoretically presented using a variationally optimized diagonalization method. By imposing the asymptotical ...

Abstract: Source separation in the statistical framework is usually managed using tensor decompositions or matrix joint diagonalization. In this letter, we propose one of the first coordinate ...

Simply put, orthogonal validation uses additional methods that provide very different selectivity to the primary method to confirm or refute a finding. All methods are independent approaches that can ...

There is evidence that the orthogonal grid plan, which is one of the most common types of urban planning today, dates back to antiquity. Streets intersect at right angles to each other, resulting in a ...

The problem of joint approximate diagonalization of symmetric real matrices is addressed. It is reduced to an optimization problem with the restriction that the matrix of the similarity transformation ...

View the schedule for this year's observance of Rev. Dr. Martin Luther King Jr. Day, centered on Sunday and Monday, Jan. 18–19. In 2025, Bates social media shared more than a thousand of posts. Here ...