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The inertia of matrices and quadratic forms, conditionally definite matrices, the separation of the roots of algebraic equations, and MAPLE procedures

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References

  1. Chabrillac, Y. and Crouzex, J.-P., Definiteness and Semidefiniteness of Quadratic Forms Revisited,Linear Algebra Appl., 1984, vol. 63, pp. 283–292.

    Article  MATH  MathSciNet  Google Scholar 

  2. Ikramov, Kh. D. and Savel’eva, N.V., Computer Algebra Procedures for Verifying the Definiteness of a Matrix on a Subspace,Zh. Vychisl. Mat. Mat. Fiz., 1999, vol. 39, no. 3, pp. 357–370.

    MathSciNet  Google Scholar 

  3. Ikramov, Kh. D. and Savel’eva, N.V., Copositive Matrices,Zh. Vychisl. Mat. Mat. Fiz., 1999, vol. 39, no. 8, pp. 1253–1279.

    MathSciNet  Google Scholar 

  4. Väliaho, H., Criteria for Copositive matrices,Linear Algebra Appl., 1986, vol. 81, pp. 19–34.

    Article  MATH  MathSciNet  Google Scholar 

  5. Krein, M.G. and Naimark, M.A.,Metod simmetricheskikh i ermitovykh form v teorii otdeleniya kornei algebraicheskikh uravnenii (The Method of Symmetric and Hermitian Forms in the Theory of Separation of the Roots of Algebraic Equations), Kharkov, 1936.

  6. Ikramov, Kh.D. and Savel’eva, N.V., On Efficient Computer Algebra Implementation of the Schur-Cohn-Fujiwara Criterion,Vestn. Mosk. Univ., Ser. 15: Vyschisl. Mat. Kibern., 1998, no. 2, pp. 9–12.

    MathSciNet  Google Scholar 

  7. Savel’eva, N.V., Computer Algebra Procedures for Separating the Roots of Algebraic Equations,Zh. Vychisl. Mat. Mat. Fiz., 1999, vol. 39, no. 10, pp. 1603–1619.

    MathSciNet  Google Scholar 

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  1. Department of Computational Mathematics and Cybernetics, Moscow State University, Vorob’evy gort, 119899, Moscow, Russia

    Kh. D. Ikramov & N. V. Savel’eva

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  1. Kh. D. Ikramov
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  2. N. V. Savel’eva
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Ikramov, K.D., Savel’eva, N.V. The inertia of matrices and quadratic forms, conditionally definite matrices, the separation of the roots of algebraic equations, and MAPLE procedures. Program Comput Soft 26, 23–24 (2000). https://doi.org/10.1007/BF02759173

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