76 Result(s)
within
V. N. Kublanovskaya
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Article
To solving spectral problems for q-parameter polynomial matrices. III
The paper suggests method for computing points of the finite spectrum of a multiparameter matrix pencil (a multiparameter polynomial matrix linearly dependent on its parameters) of general form. At the first s...
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Article
To solving problems of algebra for two-parameter matrices. X
The paper considers conditions under which rank factorizations of a two-parameter polynomial matrix can be affected with the use of unimodular matrices, as in the one-parameter case. Algorithms for computing s...
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Article
To solving the eigenvalue problem for polynomial matrices of general form
The paper considers the eigenvalve problem for a polynomial m × n matrix F(μ) of rank ρ. Algorithms. allowing one to reduce this problem to the generalized matrix eigenvalve problem are suggested. The algorith...
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Article
To solving spectral problems for q-parameter polynomial matrices. II
The paper continues the studies of the method of hereditary pencils for computing points of the finite spectrum of a multiparameter polynomial matrix. The method involves induction on the number of parameters ...
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Article
To solving inverse eigenvalue problems for matrices
The paper considers additive and multiplicative inverse eigenvalve problems and suggests a solution method based on the connection of inverse problems with the problem of computing the regular spectrum of a mu...
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Article
To solving problems of algebra for two-parameter matrices. IX
The paper continues investigations of spectral characteristics of two-parameter polynomial matrices of general form. An approach to devising algorithms for computing points of the regular, singular, and regula...
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Article
To solving spectral problems for q-parameter polynomial matrices
The method of hereditary pencils, originally suggested by the author for solving spectral problems for two-parameter matrices (pencils of matrices), is extended to the case of q-parameter, q ≥ 2, polynomial matri...
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Article
To solving problems of algebra for two-parameter matrices. VII
The paper discusses the method of rank factorization for solving spectral problems for two-parameter polynomial matrices. New forms of rank factorization, which are computed using unimodular matrices only, are...
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Article
To solving problems of algebra for two-parameter matrices. VIII
The paper discusses the method of hereditary pencils for computing points of the regular and singular spectra of a general two-parameter polynomial matrix. The method allows one to reduce the spectral problems...
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Article
To solving problems of algebra for two-parameter matrices. V
This paper continues the series of publications devoted to surveying and develo** methods for solving the following problems for a two-parameter matrix F (λ, μ) of general form: exhausting points of the mixed r...
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Article
To solving problems of algebra for two-parameter matrices. VI
The paper continues the series of papers devoted to surveying and develo** methods for solving problems for two-parameter polynomial and rational matrices. Different types of factorizations of two-parameter ...
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Article
To solving problems of algebra for two-parameter matrices. IV
The paper considers applications of the linearization method to computing points of the finite regular and singular spectra of two-parameter polynomial matrices, of pencils of polynomial matrices of general fo...
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Article
To solving problems of algebra for two-parameter matrices. II
This paper is one of the series of survey papers dedicated to the development of methods for solving problems of algebra for two-parameter polynomial matrices of general form. The paper considers the AB-algori...
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Article
To solving problems of algebra for two-parameter matrices. III
The paper continues the series of papers devoted to surveying and develo** methods for solving algebraic problems for two-parameter polynomial and rational matrices of general form. It considers linearizatio...
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Article
To solving problems of algebra for two-parameter matrices. I
This paper starts a series of publications devoted to surveying and develo** methods for solving algebraic problems for two-parameter polynomial and rational matrices. The paper considers rank factorizations...
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Article
To solving multiparameter problems of algebra. 11. Computing the regular spectrum of a polynomial matrix
For a general multiparameter polynomial matrix \(F(\bar \lambda )\) , solution of the equation
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Article
To solving multiparameter problems of algebra. 10. Computing zeros of a scalar polynomial
The paper considers the problem of computing zeros of scalar polynomials in several variables. The zeros of a polynomial are subdivided into the regular (eigen-and mixed) zeros and the singular ones. An algori...
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Article
To solving inverse eigenvalue problems for parametric matrices
Some statements of inverse eigenvalue problems for one-parameter and multiparameter regular polynomial matrices with linear and nonlinear dependences on spectral parameters are considered. Methods for solving ...
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Article
To solving multiparameter problems of algebra. 8. The RP-q method and its applications
A new method (the RP-q method) for factorizing scalar polynomials in q variables and q-parameter polynomial matrices (q ≥ 1) of full rank is suggested. Applications of the algorithm to solving systems of nonli...
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Article
On the occasion of the centenary of the birthday of Vera Nikolaevna Faddeeva
