# Accession Number:

## ADA110301

# Title:

## Studies in Numerical Algebra with Applications.

# Descriptive Note:

## Annual rept. 1 Oct 80-30 Sep 81,

# Corporate Author:

## CALIFORNIA UNIV SANTA BARBARA INST FOR ALGEBRA AND COMBINATORICS

# Personal Author(s):

# Report Date:

## 1981-09-29

# Pagination or Media Count:

## 33.0

# Abstract:

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

# Descriptors:

# Subject Categories:

- Statistics and Probability