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Solving Linear Equations by Means of Scalar Products

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Part of the book series: The IBM Research Symposia Series ((IRSS))

Abstract

We shall state and solve a problem proposed by R. Brent and P. Wolfe concerning the solution of a system of linear equations by algorithms where the only operation permitted on the coefficient vectors a1, a2, ..., is the formation of scalar products ai ·v. Each such calculation is called a test. The objective is to solve the equations using a minimum number of tests.

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© 1972 Plenum Press, New York

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Rabin, M.O. (1972). Solving Linear Equations by Means of Scalar Products. In: Miller, R.E., Thatcher, J.W., Bohlinger, J.D. (eds) Complexity of Computer Computations. The IBM Research Symposia Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2001-2_2

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  • DOI: https://doi.org/10.1007/978-1-4684-2001-2_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-2003-6

  • Online ISBN: 978-1-4684-2001-2

  • eBook Packages: Springer Book Archive

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