Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	ALFELD, P. A case study of multivariate piecewise polynomials. In Geometric Modeling: Algorithms and New Trends, G. E. Farin, Ed., SIAM, Philadelphia, 1986, 149-159.
	2	ALFELD, P., AND EYRE, D. J. Algorithm 701: Goliath: A software system for the exact analysis of rectangular rank-deficient sparse rational linear systems. Collected Algorithms of the ACM.
	3	ALFELD, P., EYRE, D. J., AND SCHUMAKER, L.L. Machine aided investigation of multivarL ate spline spaces. In Approximation Theory V/, C. K. Chui, L. L. Schumaker and J. D. Ward Eds., Academic Press, San Diego, 1989, 1-4.
	4	BAREISS, E.H. Sylvester's iclentity and multistep integer preserving Gaussian elimination. Math. Comput. 22, 103 (Jul. 1968), 565-578.
	5	BARETSS, E. H. Computational solution of matrix problems over an integral domain. J. Inst. Math. Appl. 10, I (Aug. 1972), 68-104.
	6	BoRos~, I., AND FRAENKEL, A. S. Exact solutions of linear equations with rational coefficients by congruence techniques. Math. Comput. 20, 93 (Jan. 1966), 107-112.
	7	S. Cabay , T. P. L. Lam, Congruence Techniques for the Exact Solution of Integer Systems of Linear Equations, ACM Transactions on Mathematical Software (TOMS), v.3 n.4, p.386-397, Dec. 1977  [doi>10.1145/355759.355765]
	8	S. Cabay , T. P. L. Lam, Algorithm 522: ESOLVE, Congruence Techniques for the Exact Solution of Integer Systems of Linear Equations [F4], ACM Transactions on Mathematical Software (TOMS), v.3 n.4, p.404-410, Dec. 1977  [doi>10.1145/355759.355767]
	9	CHu4 C.K. Multivariate Splines. SIAM, Philadelphia, 1988.
	10	DONGARRA, J. J., AND GROSSE, E. Distribution of mathematical software via electronic mail. Numerical Analysis Manuscript 85-2, AT&T Bell Laboratories, Murray Hill, N.J., 1985.
	11	EYRE, D. J. Exact analysis of sparse rectangular linear systems. M.S. thesis, Dept. of Mathematics, Univ. of Utah, Salt Lake City, 1990.
	12	FRAENK~L, A. S., ANn LOEWENTHAL, D Exact solution of linear equations with rational coefflcients; J. Res. Natl. Bur. Stand. 75B, i and 2 (Jan.-Jun. 1971), 67-75.
	13	GOLUB, G. H., AND VAN LOAN, C.F. Matrix Computations. Johns Hopkins University Press, Baltimore, 1983.
	14	G. H. Gonnet , R. Baeza-Yates, Handbook of algorithms and data structures: in Pascal and C (2nd ed.), Addison-Wesley Longman Publishing Co., Inc., Boston, MA, 1991
	15	R T. Gregory , E V. Krishnamurthy, Methods and applications of error-free computation, Springer-Verlag New York, Inc., New York, NY, 1984
	16	Martin L. Griss, The algebraic solution of large sparse systems of linear equations using REDUCE 2, Proceedings of the 1974 annual conference, p.105-111, January 1974  [doi>10.1145/800182.810388]
	17	HEARN, A.C. REDUCE User's Manual, Version 3.1. The Rand Corporation, Santa Monica, Calif., 1984.
	18	HOWELL, J. A., AND GREGORY, R. T. An algorithm for solving linear algebraic equations using residue arithmetic, I-II. BIT 9, 3 (Fall 1969), 200-224, 324-337.
	19	HOWELL, J. A., AND GREGORY, R.T. Solving linear equations using residue arithmetic--algorithm II. BIT 10, 1 (Spring 1970), 27-37.
	20	Donald E. Knuth, The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms, Addison-Wesley Longman Publishing Co., Inc., Boston, MA, 1997
	21	E. V. Krishnamurthy, Error-free polynomial matrix computations, Springer-Verlag New York, Inc., New York, NY, 1985
	22	Tom Lyche , Larry L. Schumaker, Mathematical methods in computer aided geometric design, Academic Press Professional, Inc., San Diego, CA, 1989
	23	NEWMAN, M. 167; Solving equations exactly. J. Res. Natl. Bur. Stand. Sect. B, 17 (Oct.-Dec. 1967), 171-179.
	24	RAO, T M., SUBRAMANIAN, K., AND KRISHNAMURTHY, E.V. Residue arithmetic algorithms for exact computation of g-inverses of matrices SIAM J. Numer. Anal. 13 (1976), 155-171.
	25	Hans Riesel, Prime numbers and computer methods for factorization, Birkhauser Boston Inc., Cambridge, MA, 1985
	26	Robert Sedgewick, Algorithms, Addison-Wesley Longman Publishing Co., Inc., Boston, MA, 1984
	27	Jörn Springer, Exact solution of general integer systems of linear equations, ACM Transactions on Mathematical Software (TOMS), v.12 n.1, p.51-61, March 1986  [doi>10.1145/5960.5961]
	28	STALLINGS, W. T AND BOUILLION, T. L. Computation of pseudo-inverse matrices using residue arithmetic. SIAM Rev. 14, (1972), 152-163.

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