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GENERATION OF MATRICES WITH SPECIFIED EIGENVALUES

    https://doi.org/10.1142/9789812773241_0014Cited by:0 (Source: Crossref)
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    Abstract:

    We present a prescription for forming matrices with specified eigenvalues and known eigenvectors. With this method, we can form Hermitian, anti-Hermitian, symmetric and general matrices with arbitrary eigenvalues with great ease. Certain functions are required for the implementation of this method. Probability amplitudes connecting observables with discrete eigenvalue spectra perform the task, and they can be obtained from spin theory. For the example case of 5 × 5 matrices, these functions are given, and various illustrative matrices are generated together with their normalized eigenvectors.