Fast construction of a symmetric nonnegative matrix with a prescribed spectrum

Computers and Mathematics with Applications

Volumn 42, Issue 10-11, 2001, Pages 1379-1391

  Rojo, O ^a   Soto, R ^a   Rojo, H ^b  

^a UNIVERSIDAD CATÓLICA DEL NORTE   (Chile)

^b UNIVERSIDAD DE ANTOFAGASTA   (Chile)

Author keywords

Circulant matrix; Fast Fourier transform; Inverse eigenvalue problem; Nonnegative matrix; Persymmetric matrix

Indexed keywords

ALGORITHMS; EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; INVERSE PROBLEMS; SPECTRUM ANALYSIS; VECTORS;

CIRCULANT MATRIX; PERSYMMETRIC MATRIX; SYMMETRIC NONNEGATIVE MATRIX;

MATRIX ALGEBRA;

EID: 0035500924     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(01)00247-4     Document Type: Article

References (14)

1. Stochastic matrices with real characteristic values, (in Russian)
2. On positive stochastic matrices with real characteristic roots
3. A note on eigenvalues of nonnegative matrices
4. Some results in the theory of nonnegative matrices
5. Matrices similar to a positive or essentially positive matrix
6. Eigenvalues of nonnegative symmetric matrices
7. Constructing symmetric nonnegative matrices
8. Eigenvalues of nonnegative symmetric matrices
9. An inverse eigenvalue problem for symmetric and normal matrices
10. Eigenvalues of nonnegative matrices
11. Inverse eigenvalue problems
12. An algorithm for the calculation of complex Fourier series
13. Eigenvalues and eigenvectors of symmetric centrosymmetric matrices