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Article information
1997 , Volume 2, ¹ 6, p.24-30
Demidenko G.V., Matveeva I.I.
Approximate constraction of projections onto invariant subspaces of matrices
In the present paper for an arbitrary matrix we discuss a method of approximate construction of the projections P-, P+ and P0 onto maximal invariant subspaces corresponding to the eigenvalues lying in the left half-plane, right half-plane and the imaginary axis respectively. We fulfil qualified estimates that allow us to elaborate a computing algorithm.
[full text] Classificator Msc2000:- *65F15 Eigenvalues, eigenvectors
- 65F30 Other matrix algorithms
Classificator Computer Science:- *G.1.3 Numerical Linear Algebra
Keywords: projection, invariant subspace, eigenvalues, algorithm, convergence
Author(s):
Demidenko G.V.
Office: Institute of Mathematics SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Koptug ave., 4
Matveeva Inessa Izotovna
PhD. , Associate Professor
Position: Senior Research Scientist
Office: Institute of Mathematics SB RAS
Address: 630090, Russia, Novosibirsk, Ac/ Koptug ave., 4
Phone Office: (383)3634673
E-mail: matveeva@math.nsc.ru
Bibliography link:
Demidenko G.V., Matveeva I.I. Approximate constraction of projections onto invariant subspaces of matrices // Computational technologies. 1997. V. 2. ¹ 6. P. 24-30
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