| K. E. Avrachenkov, Analytic Perturbation Theory and its Applications, Thesis in University of South Australia, 1999. Available at http://wwwsop. inria.fr/mistral/personnel/K.Avrachenkov/moi.html |
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Avrachenkov, K.E. (1999). Analytic perturbation theory and its applications, PhD Thesis, University of South Australia.
No context found.
Avrachenkov, K.E., (1999). Analytic Perturbation Theory and its Applications, Ph.D. Thesis, University of South Australia. Available electronically at http://www-sop.inria.fr/mistral/personnel/K.Avrachenkov/moi.html
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Avrachenkov, K. E. (1999). Analytic perturbation theory and its applications. Doctoral Thesis, University of South Australia. Available at http://www-sop.inria.fr/mistral/personnel/K.Avrachenkov/moi.html
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Avrachenkov, K.E. (1999), \Analytic Perturbation Theory and its Applications", PhD Thesis, available at http://www-sop.inria.fr/mistral/personnel/K.Avrachenkov/.
....; Pm is a stochastic matrix, we conclude that matrix I Gamma S(0) has zero as an eigenvalue with multiplicity of at least m. Of course, I Gamma S(0) is not invertible. However, the matrix (I Gamma S( Gamma1 exists for small positive (but not zero) values of . From the results of [2, 3, 14], it follows that one can expand (I Gamma S( Gamma1 as a Laurent series at = 0 (I Gamma S( Gamma1 = 1 p U ( Gammap) U (0) U (1) 4) One can use the methods of [2, 3, 14] to calculate the coeOEcients of the above series. These methods are computationally ....
.... Gamma1 exists for small positive (but not zero) values of . From the results of [2, 3, 14] it follows that one can expand (I Gamma S( Gamma1 as a Laurent series at = 0 (I Gamma S( Gamma1 = 1 p U ( Gammap) U (0) U (1) 4) One can use the methods of [2, 3, 14] to calculate the coeOEcients of the above series. These methods are computationally stable even for large matrices. Actually, as shown below, one needs to compute only U ( Gamma1) and U (0) Substituting the expression R i ( R i (0) C Ri and the Laurent series (4) into formula (3) we ....
[Article contains additional citation context not shown here]
Avrachenkov, K.E. (1999). Analytic perturbation theory and its applications, PhD Thesis, University of South Australia.
No context found.
K. E. Avrachenkov, Analytic Perturbation Theory and its Applications, Thesis in University of South Australia, 1999. Available at http://wwwsop. inria.fr/mistral/personnel/K.Avrachenkov/moi.html
No context found.
K. E. Avrachenkov, Analytic Perturbation Theory and its Applications, Thesis in University of South Australia, 1999. Available at http://wwwsop. inria.fr/mistral/personnel/K.Avrachenkov/moi.html
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