Studies in Numerical Algebra with Applications.
Annual rept. 1 Oct 80-30 Sep 81,
CALIFORNIA UNIV SANTA BARBARA INST FOR ALGEBRA AND COMBINATORICS
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Research covered the following topics 1 generalizations of the Cauchy-Schwarz inequality to determinants 2 the structure of the set of complex numbers Ax sub 1, Y sub 1 ... Ax sub r, y sub r where the inner products x sub i, x sub j, Y sub i, Y sub j and x sub i, Y sub j are stipulated, i 1,...,r 3 the positive definite property of the A-numerical radius defined by Goldberg and Straus 4 conditions for two decomposable tensors in a symmetry class to be equal or for a decomposable tensor to be 0 5 the geometry of the set of numbers Ax, Y in which x and y are unit vectors with fixed inner product. Author
- Statistics and Probability