In mathematics, the Bareiss algorithm, named after Erwin Bareiss, is an algorithm to calculate the determinant or the echelon form of a matrix with integer...

exponentially large, so the bit complexity is exponential. However, Bareiss' algorithm is a variant of Gaussian elimination that avoids this exponential...

collector Bareiss Prüfgerätebau GmbH, a German materials testing company founded in 1954 Bareiss algorithm This page lists people with the surname Bareiss. If...

like round-off errors. The Bareiss algorithm for Toeplitz matrices (not to be confused with the general Bareiss algorithm) runs about as fast as Levinson...

decomposed (i.e. factored) in O ( n 2 ) {\displaystyle O(n^{2})} time. The Bareiss algorithm for an LU decomposition is stable. An LU decomposition gives a quick...

intermediate values can become exponentially long. By comparison, the Bareiss Algorithm, is an exact-division method (so it does use division, but only in...

zero Bareiss algorithm — variant which ensures that all entries remain integers if the initial matrix has integer entries Tridiagonal matrix algorithm —...

numbers, the column echelon form of the matrix may be computed with Bareiss algorithm more efficiently than with Gaussian elimination. It is even more efficient...

The following tables list the computational complexity of various algorithms for common mathematical operations. Here, complexity refers to the time complexity...

III". Intelligent Tutoring Systems. Academic Press. ISBN 0-12-648680-8. Bareiss, Ray; Porter, Bruce; Weir, Craig; Holte, Robert (1990). "Protos: An Exemplar-Based...

Combinatorics, 1968), New York: Academic Press, pp. 283–286, MR 0255432. Erwin H. Bareiss (1968), Sylvester's Identity and Multistep Integer- Preserving Gaussian...

Heuristic Search Procedure". In Michalski, Carbonell & Mitchell (1983). Bareiss, Ray; Porter, Bruce; Wier, Craig. "Chapter 4: Protos: An Exemplar-Based...