Naslov
Interval Jacobi algorithm for symmetric eigenvalue problem

Autori
Šimić, Diana

Izvornik
Zeitschrift für angewandte Mathematik und Mechanik (0044-2267) 76 (1996), S1; 543-544

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
interval mathematics ; symmetric eigenvalue problem ; Jacobi

Sažetak
Recent Deif's results on symmetric interval eigenvalue problem are applied to twodimensional interval symmetric matrices. For symmetric interval matrices of higher dimension the results apply only to eigenvalues belonging to eigenvectors with sign patterns constant over the interval matrix. Bounds on the width of the interval matrix sufficient for the invariance of eigenvector sign pattern are hard to verify. Constraining the symmetric interval matrices to subsets of symmetric point matrices is natural for many applications. When twodimensional symmetric interval matrix is constrained to its subset containing only symmetric point matrices, it is possible to characterize the sets of its eigenvalues and eigenvectors without bounding its width. These characterizations are a basis for the construction of interval Jacobi method.

Izvorni jezik
Engleski

Znanstvena područja
Javno zdravstvo i zdravstvena zaštita

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