Vera Kublanovskaya
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Russian mathematician
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Why Is Vera Kublanovskaya Influential?
(Suggest an Edit or Addition)According to Wikipedia, Vera Nikolaevna Kublanovskaya was a Russian mathematician noted for her work on developing computational methods for solving spectral problems of algebra. She proposed the QR algorithm for computing eigenvalues and eigenvectors in 1961, which has been named as one of the ten most important algorithms of the twentieth century. This algorithm was proposed independently by the English computer scientist John G.F. Francis in 1959.
Vera Kublanovskaya's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- On some algorithms for the solution of the complete eigenvalue problem (1962) (213)
- On an Approach to the Solution of the Generalized Latent Value Problem for $\lambda $-Matrices (1970) (74)
- AB-Algorithm and its modifications for the spectral problems of linear pencils of matrices (1984) (52)
- On a method of solving the complete eigenvalue problem for a degenerate matrix (1966) (37)
- Methods and algorithms of solving spectral problems for polynomial and rational matrices (1999) (35)
- Spectral problems for matrix pencils. Methods and algorithms. III. (1988) (29)
- An approach to solving multiparameter algebraic problems (1998) (21)
- An approach to solving the spectral problem of A-λB (1983) (14)
- Evaluation of a generalized inverse matrix and projector (1966) (13)
- Analysis of singular matrix pencils (1983) (12)
- TheAB-algorithm and its properties (1983) (11)
- To solving spectral problems for q-parameter polynomial matrices. III (2007) (11)
- Spectral problems for matrix pencils. Methods and algorithms. I (1988) (10)
- Spectral problems for pencils of polynomial matrices. Methods and algorithms. V (1996) (10)
- Solving eigenvalue problems for two-parameter polynomial matrices. Methods and algorithms. Part I. (1994) (9)
- Inversion of polynomial and rational matrices (1996) (8)
- An approach to solving nonlinear algebraic systems (1990) (7)
- On some factorizations of two-parameter polynomial matrices (1997) (7)
- Deflation in spectral problems for matrix pencils (1987) (7)
- Spectral problems for matrix pencils. Methods and algorithms. II. (1988) (6)
- On irreducible factorizations of rational matrices and their applications (1997) (6)
- On one Approach to the Solution of the Inverse Eigenvalue Problem (1972) (6)
- An approach to solving nonlinear algebraic systems. 2 (1996) (5)
- Spectral problem for polynomial pencils of matrices (1985) (5)
- Operations over scalar polynomials and their computer realization (1997) (4)
- Spectral problems for rational matrices. Methods and algorithms. IV (1991) (4)
- The solution of linear algebraic systems (1976) (3)
- Eigenvalue problem for an irregular λ-matrix (1980) (3)
- Certain modifications of the AB-algorithm (1984) (3)
- On solving problems with sparse matrices (1977) (3)
- Solution of the eigenvalue problem for a regular pencil λA0−A1 with singular matrices (1983) (3)
- To solving multiparameter problems of algebra. 2. The method of partial relative factorization and its applications (2005) (3)
- Solving the eigenvalue problem for sparse matrices (1980) (3)
- An Approach to Solving Inverse Eigenvalue Problems for Matrices (2003) (3)
- Application of a normalized process to the solution of linear algebraic systems (1972) (2)
- Solution of systems of nonlinear algebraic equations in three variables. Methods and algorithms. 3 (1998) (2)
- Construction of a canonic basis for matrices and pencils of matrices (1982) (2)
- A Method of computing a fundamental row of solutions and jordan chains for a singular linear pencil of matrices (1985) (2)
- To Solving Multiparameter Problems of Algebra. 4. The AB-Algorithm and its Applications (2006) (2)
- To solving inverse eigenvalue problems for parametric matrices (2007) (2)
- Solution of spectral problems for polynomial matrices (2005) (1)
- To the Solution of Partial Eigenproblems for Polynomial Matrices (2004) (1)
- On a method for the triangular factorization of an inverse matrix (1966) (1)
- Computing the Invariant Polynomials of a Polynomial Matrix. I (2004) (1)
- An algorithm for computing the spectral structure of a singular linear matrix pencil (1989) (1)
- The least-squares method for matrices dependent on parameters (1997) (1)
- Modifications of the ΔW-q Factorization Method for Multiparameter Polynomial Matrices and Their Properties (2006) (1)
- On the inverse eigenvalue problem of a matrix (1974) (1)
- The contribution of Leningrad mathematicians to the development of numerical linear algebra, 1950–1986 (1990) (1)
- To solving multiparameter problems of algebra. 6. Spectral characteristics of polynomial matrices (2006) (1)
- Application of the Rank-Factorization Method to the Analysis of Spectral Characteristics of Multiparameter Polynomial Matrices (2003) (1)
- The application of orthogonal transformations to the solution of nonlinear systems (1974) (1)
- Normalized scheme of the square-root method and its application to the solving of certain problems of algebra (1977) (1)
- A process for improving the orthogonalization of a vector system (1965) (1)
- Spectral problem for polynomial matrix pencils. 2 (1984) (1)
- To solving inverse eigenvalue problems for matrices (2012) (1)
- To solving multiparameter problems of algebra. 10. Computing zeros of a scalar polynomial (2008) (1)
- To solving problems of algebra for two-parameter matrices. VII (2011) (0)
- To solving problems of algebra for two-parameter matrices. X (2013) (0)
- Reduction of an arbitrary matrix to the tridiagonal form (1964) (0)
- To solving multiparameter problems of algebra. 7. The PG-q factorization method and its applications (2006) (0)
- To solving problems of algebra for two-parameter matrices. II (2009) (0)
- MATHEMATICAL EVENTS IN THE USSR: Dmitrii Konstantinovich Faddeev (on his eightieth birthday) (1989) (0)
- To solving the eigenvalue problem for polynomial matrices of general form (2012) (0)
- Solution of the Cauchy problem. Methods and algorithms (2000) (0)
- A method of reorthogonalization of a system of vectors (1964) (0)
- To solving the eigenvalue problem for polynomial matrices of general form (2012) (0)
- Computing the Invariant Polynomials of a Polynomial Matrix. II (2004) (0)
- To solving problems of algebra for two-parameter matrices. VIII (2011) (0)
- Some inequalities for the eigenvalues of a positive definite matrix (1965) (0)
- To solving problems of algebra for two-parameter matrices. III (2009) (0)
- A Newton's method for finding the eigenvalues and eigenvectors of a matrix (1972) (0)
- To solving problems of algebra for two-parameter matrices. V (2010) (0)
- Application of Orthogonal Transformations to the Solution af an Extremal Problem (1971) (0)
- To solving multiparameter problems of algebra. 11. Computing the regular spectrum of a polynomial matrix (2008) (0)
- Relative factorization of polynomials of several variables (1997) (0)
- To solving multiparameter problems of algebra 3. Cylindrical manifolds of the regular spectrum of a matrix (2005) (0)
- To solving multiparameter problems of algebra. 9. The ΨF-q method for factorizing invariant polynomials and its applications (2007) (0)
- On solving a nonlinear matrix eigenvalue problem (1977) (0)
- Connection between the spectral problem for linear matrix pencils and some problems of algebra (1985) (0)
- To solving inverse eigenvalue problems for matrices (2012) (0)
- On the occasion of the centenary of the birthday of Vera Nikolaevna Faddeeva (2007) (0)
- On certain iteration processes for the symmetrisation of a matrix (1963) (0)
- A computing scheme for the Jacobi process (1964) (0)
- To solving spectral problems for q-parameter polynomial matrices. II (2012) (0)
- Solution of systems of general-form nonilinear algebraic equations. Methods and algorithms. IV (2000) (0)
- Construction of a fundamental series of solutions of a pencil of matrices (1987) (0)
- Solving a nonlinear spectral problem for a matrix (1980) (0)
- To solving problems of algebra for two-parameter matrices. X (2013) (0)
- Eigenvalue , eigenvector and eigenspace (0)
- To solving problems of algebra for two-parameter matrices. IX (2012) (0)
- To Solving Multiparameter Problems of Algebra. I. Methods for Computing Complete Polynomials and Their Applications (2004) (0)
- Development of some ideas of D. K. Faddeev and V. N. Faddeeva in computational algebra (1998) (0)
- The estimation of irremovable errors (1996) (0)
- To Solving Multiparameter Problems of Algebra. 5. The ∇V-q Factorization Algorithm and its Applications (2006) (0)
- The solution of the additive eigenvalue problem of matrices (1978) (0)
- Application of a normalized process to the solution of the inverse eigenvalue problem of a matrix (1974) (0)
- To solving problems of algebra for two-parameter matrices. IV (2010) (0)
- To solving problems of algebra for two-parameter matrices. IX (2012) (0)
- Eigenvalue problem for a regular linear pencil of matrices close to singular ones (1982) (0)
- Application of orthogonal transformations to the numerical realization of linear algebraic perturbation problems (1970) (0)
- A general approach to reducing a regular linear pencil to a pencil of quasitriangular form (1986) (0)
- To solving problems of algebra for two-parameter matrices. I (2009) (0)
- To solving spectral problems for q-parameter polynomial matrices (2011) (0)
- The contribution of D.K. Faddeev to the development of computational methods in linear algebra (1999) (0)
- Solving the eigenvalue problem for matrices (1983) (0)
- The Solution of a Particular Eigenvalue Problem for Certain Matrices of Special Form (1972) (0)
- Solution of the spectral problem for a singular bundle of matrices (1978) (0)
- To solving spectral problems for q-parameter polynomial matrices. II (2012) (0)
- To solving problems of algebra for two-parameter matrices. VI (2010) (0)
- To solving multiparameter problems of algebra. 8. The RP-q method and its applications (2007) (0)
- Irreducible factorizations of rationalq-parameter matrices (2000) (0)
- Two-sided approximations in the LR-algorithm (1980) (0)
- To solving spectral problems for q-parameter polynomial matrices. III (2013) (0)
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