Usage estimate: under one minute on a Heron r2 processor (NOTE: This is an estimate only. Your runtime might vary.) Nitrogen chemistry connects this example to sustainability through ammonia ...

I want to rotate quaternions. To do that, I use a "matrix exponential function," which extends the variable inside an exponential function to a matrix. Matrix exponential functions are calculated ...

Calculating the ground state energy of complex molecules remains a significant challenge in quantum chemistry, often requiring computational resources that quickly become intractable. Samuele Watson, ...

* Demonstrates similarity transform to diagonalize a DC motor state-space model. * The decoupled system has independent speed and current dynamics. * DC motor model (simplified): * d/dt [i_a; omega] = ...

Abstract: This paper addresses the problem of Joint approximate diagonalization (JAD) of a set of given matrices and proposes a new efficient iterative algorithm for JAD that based on the ...

(This is the output from ChatGPT 5 as is. Thumbnail image suggestions are also included as is.) Some people might think of matrix diagonalization as "just a calculation technique." But in reality, it ...

Abstract: The stator winding of multi-phase machines can be designed according to different schemes, which differ by either the number or the spatial arrangement of phases. For control and analysis ...