Algebraic computations of scaled pade´ fractions
SIAM Journal on Computing
The Exact Solution of Systems of Linear Equations with Polynomial Coefficients
Journal of the ACM (JACM)
On Computing the Exact Determinant of Matrices with Polynomial Entries
Journal of the ACM (JACM)
The Algebraic Solution of Sparse Linear Systems via Minor Expansion
ACM Transactions on Mathematical Software (TOMS)
Analysis of Algorithms, A Case Study: Determinants of Matrices with Polynomial Entries
ACM Transactions on Mathematical Software (TOMS)
The Exact Solution of Linear Equations with Rational Function Coefficients
ACM Transactions on Mathematical Software (TOMS)
A Comparison of Algorithms for the Exact Solution of Linear Equations
ACM Transactions on Mathematical Software (TOMS)
Symbolic Computation of Padé Approximants
ACM Transactions on Mathematical Software (TOMS)
Approximate algorithms to derive exact solutions to systems of linear equations
EUROSAM '79 Proceedings of the International Symposiumon on Symbolic and Algebraic Computation
Chinese remainder and interpolation algorithms
SYMSAC '71 Proceedings of the second ACM symposium on Symbolic and algebraic manipulation
SYMSAC '81 Proceedings of the fourth ACM symposium on Symbolic and algebraic computation
A Method for Solution of Systems of Linear Algebraic Equations with m-Dimensional λ-Matrices
Cybernetics and Systems Analysis
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An algorithm for computing the power series solution of a system of linear equations with components that are dense univariate polynomials over a field is described and analyzed. A method for converting the power series solution to rational form is derived. Theoretical and experimental cost estimates are obtained and used to identify classes of problems for which the power series method outperforms modular methods. Finally, it is shown that the power series method also provides an effective mechanism for solving the problem in which the coefficients of the polynomials are from the ring of integers.