Inverse Spectrum Problems for Block Jacobi Matrix
Inverse Spectrum Problems for Block Jacobi Matrix
A spectrum function for the block Jacobi matrix is defined which allows to determine conditions for existence and uniqueness for the corresponding inverse spectrum problem. Two numerical algorithms for solving the inverse spectrum problem are proposed and their behaviour is illustrated on several examples of order up to 15. The algorithms work in all possible multiple-eigenvalue cases.
- University of Waterloo Canada
- University of Auckland New Zealand
- University of Toronto Canada
- Shandong Women’s University China (People's Republic of)
Numerical computation of eigenvalues and eigenvectors of matrices, numerical examples, block Jacobi matrix, multiple-eigenvalue, numerical algorithms, spectrum function, inverse spectrum problem
Numerical computation of eigenvalues and eigenvectors of matrices, numerical examples, block Jacobi matrix, multiple-eigenvalue, numerical algorithms, spectrum function, inverse spectrum problem
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