Height characteristic on block triangular matrices

Author

Dexter A. Velasco
Raymond F. Loa

Date of Publication

1998

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

It is shown that the height characteristic of a block triangular matrix A with square diagonal blocks majorizes the dual of the sequence of differences of maximal cardinalities of singular k-paths in a certain graph, which is determined by the height characteristic of the diagonal blocks and the reduced graph of A.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU08785

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

83 leaves

Keywords

Matrices; Jordan matrix; Algebras, Linear; Graph theory

Recommended Citation

Velasco, D. A., & Loa, R. F. (1998). Height characteristic on block triangular matrices. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16511