AN INTRODUCTION TO NETWORK ANALYSIS. PART 1. RELATION BETWEEN MATRIX ALGEBRA AND NETWORK GEOMETRY

Abstract

A direct application of Kirchhoff's Laws leads to network equations which relate unknown quantities to known quantities. Various procedures usually described as mesh analysis and nodal analysis are available which translate the variables into a simplified set of independent equations. Matrix methods are used to investigate the network equations. The material is presented in an introductory fashion with the pertinent elementary properties of determinants an atrice given in the text. Based on the matrix approach, topological and connective properties of network geometry are deduced. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 11, 1960
Accession Number
AD0263829

Entities

People

  • A.b. Giordano
  • H.j. Carlin

Organizations

  • New York University Tandon School of Engineering

Tags

DTIC Thesaurus Topics

  • Algebra
  • Equations
  • Geometry
  • Kirchhoff'S Law
  • Materials

Fields of Study

  • Mathematics

Readers

  • Computational Linguistics
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Linear Algebra