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- Merico E. Argentati, Andrew V. Knyazev, Christopher C. Paige, Ivo Panayotov
- SIAM J. Matrix Analysis Applications
- 2008

The Rayleigh-Ritz method is widely used for eigenvalue approximation. Given a matrix X with columns that form an orthonormal basis for a subspace X , and a Hermitian matrix A, the eigenvalues of X H AX are called Ritz values of A with respect to X. If the subspace X is A-invariant then the Ritz values are some of the eigenvalues of A. If the A-invariant… (More)

- I Panayotov
- TAG. Theoretical and applied genetics…
- 1980

Nuclei from Triticum aestivum L. cultivars 'Penjamo 62' and 'Siete Cerros 66' were introduced into the cytoplasms of different species of Aegilops and some subspecies (varieties) of T. dicoccoides by backcrossing. The sterile alloplasmic lines obtained were compared with the normal cultivars used as the recurrent pollen parents. According to the cytoplasmic… (More)

- Christopher C. Paige, Ivo Panayotov
- SIAM J. Matrix Analysis Applications
- 2011

- Chris Paige, Ivo Panayotov
- 2007

If x, y ∈ C n are unit-length vectors (x H x = y H y = 1) where y is an approximation to an eigenvector x of A = A H ∈ C n×n with Ax = xλ, λ = x H Ax ∈ R, then it is well known that the Rayleigh quotient y H Ay satisfies |λ − y H Ay| ≤ sin 2 θ(x, y).spread(A). (1) Here if λ 1 (A) ≥ · · · ≥ λ n (A) are the eigenvalues of A in descending order then spread(A)… (More)

- A Ivanova, A Tadjer, B Radoev, I Panayotov
- SAR and QSAR in environmental research
- 2002

Studies of pure phospholipid monolayers or various well defined lipid mixtures have greatly contributed to the current knowledge of the relationship between monolayer composition and its properties and to understand how their physicochemical properties, e.g. refraction, polarization, are controlled by structural variations at the molecular level. Therefore,… (More)

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