# Iterative Descent Method for Generalized Leontief Model

## TL;DR

This paper introduces an iterative descent method based on infeasible interior point algorithms to solve the generalized Leontief model, proving convergence and demonstrating its effectiveness through a numerical example.

## Contribution

The paper develops a new iterative descent approach for the generalized Leontief model and proves its convergence from positive initial points.

## Key findings

- The method converges under certain conditions.
- Numerical example confirms the algorithm's effectiveness.
- Provides a new solution technique for generalized Leontief models.

## Abstract

In this paper we consider generalized Leontief model. We show that under certain condition the generalized Leontief model is solvable by iterative descent method based on infeasible interior point algorithm. We prove the convergence of the method from strictly positive starting point. A numerical example is presented to demonstrate the performance of the algorithm