Generation of Matrices with Specified Eigenvalues and their Diagonalization
Mweene, Habatwa V.
arXiv, 0506074 / Harvested from arXiv
Text on arXiv
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. In addition we propose an algorithm for diagonalizing such matrices. The functions required for the realization of this are probability amplitudes connecting observables with discrete eigenvalue spectra and can be obtained from spin theory. For the example case of $5\times 5$ matrices, these functions are given.
Publié le : 2005-06-09
Classification:  Quantum Physics,  Mathematical Physics 
@article{0506074,
     author = {Mweene, Habatwa V.},
     title = {Generation of Matrices with Specified Eigenvalues and their
  Diagonalization},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0506074}
}

Mweene, Habatwa V. Generation of Matrices with Specified Eigenvalues and their
  Diagonalization. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506074/