Abstract
Difficulties arising when numerically solving large systems of polynomial equations are discussed. Such systems determine the input data for the inverse task for the two-dimensional Schroedinger equation.
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References
Serdyukova, S.I., Inverse Problem for Symmetric Tridiagonal Matrices. Calculation of the System of Discrete Orthogonal Polynomials with Arbitrary Weight,Russ. J. Numer. Anal. Math. Modeling, 1993, vol. 8, no. 3, pp. 245–263.
Hearn, A.C., REDUCE User’s Manual. Version 3.6, CA 90407-2138, Santa Monica. Rand, 1995.
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Serdyukova, S.I. Solving large systems of polynomial equations using REDUCE. Program Comput Soft 26, 28–29 (2000). https://doi.org/10.1007/BF02759175
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DOI: https://doi.org/10.1007/BF02759175