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IBM Journal of Research and Development  
Volume 25, Number 5, Page 825 (1981)
25th Anniversary Issue
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Algebraic Complexity Theory

by N. Pippenger
Algebraic complexity theory, the study of the minimum number of operations sufficient to perform algebraic computations, is surveyed with emphasis on the general theory of bilinear forms and two of its applications: polynomial multiplication and matrix multiplication. Though by no means exhausting algebraic complexity theory, these topics illustrate well its development and its methods, and provide examples of its most striking successes.
Related Subjects: Algorithms; Complexity; Computational methods; Mathematics (applied)