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The solution of the Binet-Cauchy functional equation for square matrices by Konrad J. Heuvers; Daniel S. Moak is a Computer Science article available to read on EtoBox.
What is The solution of the Binet-Cauchy functional equation for square matrices about?
Heuvers, K.J. and D.S. Moak, The solution of the Binet-Cauchy functional equation for square matrices, Discrete Mathematics 88 (1991) 21-32. It is shown that if f : M,(K)+ K is a nonconstant solution of the Binet-Cauchy functional equation for A, B E M,,(K) and if f(E) = 0 where E is the n x n matrix with all entries l/n then f is given by f(A) = m(det A) where m is a multiplicative function on K. For f(E) # 0 it has been shown by Heuvers, Cummings and Bhaskara Rao, that f(A) = @(per A) where 9 is an isomorphism of K. Thus the Binet-Cauchy functional equation is the source of the common properties of det A and per A. The value of f(E) is sufficient to distinguish between the two functions.
Who reads The solution of the Binet-Cauchy functional equation for square matrices?
It is typically read by researchers, students, and practitioners in Computer Science.
- Author
- Konrad J. Heuvers; Daniel S. Moak
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0012-365X)
- Published
- 1991
- Language
- EN
- Field
- Computer Science (Physical Sciences)