Studies in Numerical Algebra with Applications.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 29, 1981
- Accession Number
- ADA110301
Entities
People
- H. Minc
- M. Goldberg
- M. Marcus
- Michael Newman
- R. C. Thompson
Organizations
- University of California, Santa Barbara