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Applied Linear Algebra. Contribute to UBCMath/MATH307 development by creating an account on GitHub.

The task involves writing a function that accepts a square matrix and returns its eigenvalues and eigenvectors using the NumPy library. It also verifies the equality A * v = λ * v for each eigenvalue ...

The scientific interest in the analytical solution of the quantum Rabi model is due to the widespread use of this simple model in quantum optics, quantum computing, cavity QED, and ...

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 ...

Abstract: This letter derives an explicit formula for the evaluation of an arbitrary analytical function of a companion matrix with distinct eigenvalues. The derivation presented here is simple and ...