Using the spectral radius to determine whether a Leontief system has a unique positive solution

Asia-Pacific Journal of Operational Research

Volumn 19, Issue 2, 2002, Pages 233-247

  Wood, Robert J ^a   O'Neill, Michael J ^a  

^a CHARLES STURT UNIVERSITY   (Australia)

Author keywords

Hawkins Simon condition; Input output system; Inverse power method; Leontief model; Non negative matrices; Spectral radius condition

Indexed keywords

COMPUTATIONAL METHODS; INDUSTRIAL ECONOMICS; LINEAR EQUATIONS; MATRIX ALGEBRA; PROBLEM SOLVING; VECTORS;

LEONTIEF MODEL; SPECTRAL RADIUS;

OPERATIONS RESEARCH;

EID: 0036874605     PISSN: 02175959     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. Blum, E. K. (1972), Numerical Analysis and Computation Theory and Practice, Addison-Wesley, Philippines.
2. Hawkins, D. and H. A. Simon (1949), Note: Some conditions of macro economic stability, in Readings in Input-Output Analysis: Theory and Applications, Oxford University Press, Oxford, 196-199.
3. Miller, R. E. and P. D. Blair (1985), Input-Output Analysis. Foundations and Extensions, Prentice-Hall, Englewood Cliffs, New Jersey.
4. O'Neill, M. J. and R. J. Wood (1999), An alternative proof of the Hawkins-Simon condition, Asia Pacific Journal of Operational Research 16, 173-183.
5. Ralston, A. and P. Rabinowitz (1978), A First Course in Numerical Analysis, McGraw-Hill, New York.
6. Stewart, G. W. (1973), Introduction to Matrix Computations, Academic Press, New York.
7. Varga, R. (1962), Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, New Jersey.