Computation of multiple eigenvalues and generalized eigenvectors for matrices dependent on parameters arXiv:math-ph/0502010 v1 2 Feb 2005 Alexei A. Mailybaev Abstract The pap er develops Newton's method of finding multiple eigenvalues with one Jordan block and corresp onding generalized eigenvectors for matrices dep endent on parameters. It computes the nearest value of a parameter vector with a matrix having a multiple eigenvalue of given multiplicity. ... m be eigenvalues of the matrix A0 . ...

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Chemistry of Heterocyclic Compounds, Vol. ... The authors' original GREN program, tions of heterocycles, and Heterocycland program, which is based on the previously synthesis" concept and is used for the retrosynthesis of six-membered heterocycles, structures and reactions which lists the recyclizaproposed [2] "structureare examined concisely. ... In examining the utilization of computers in chemistry, one cannot help being amazed at the diversity and wide gamut approaches. ... Chem., ...

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Prediction of physical properties of materials based only on their chemical composition has long been an intriguing task. ... The main interests of Prof. Lebedev 's group are physical properties of crystals exhibiting structural instability, in which different phase transitions (including the ferroelectric one) can appear. ... A.I. Lebedev. ... Physics of the Solid State 51 , 362 (2009) ; e-print arXiv:1305.0240 (2013) ; [local copy] . ... Physics of the Solid State 51 , 2324 (2009) ; [local copy] . ...

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... The circumnuclear GASEOUS disks are often decoupled from the circumnuclear stellar disks and are even stronger inclined to the outer disk planes; in fact, we have found a considerable `population' of inner polar rings. Inner gas polar rings are found as in spiral galaxies with the massive outer gas disks co-planar to the main symmetry planes (e.g. NGC 2841, Sil'chenko et al. 1997, and NGC 7217, Sil'chenko & Afanasiev 2000) as well in many lenticular galaxies (Fig. ...

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