## Reduce

### Summary

REDUCE is an interactive system for general algebraic computations of interest to mathematicians, scientists and engineers. It has been produced by a collaborative effort involving many contributors.

It is often used as an algebraic calculator for problems that are possible to do by hand. However, REDUCE is designed to support calculations that are not feasible by hand. Many such calculations take a significant time to set up and can run for minutes, hours or even days on the most powerful computers.

### Authors

### Links

### Status

incomplete information or not officially approved by the authors### Mathematical Classification

### Keywords

- algebraic calculator
- algebraic equations
- analytic differentiation
- antisymmetric operators
- arbitrary precision integers
- calculate Dirac matrix
- computer algebra
- determinants
- differentiation
- Dirac matrices
- eigenvalue equation
- equation solving
- equations solving
- expansion of polynomials
- expression simplification
- factorization
- factorizations
- generating optimized numerical programs
- integration
- linear operators
- matrices
- matrix
- matrix rank
- non-commuting operators
- ordering of polynomials
- pattern matching
- polynomial coefficient arithmetic
- polynomial computations
- polynomials
- rational functions
- real arithmetic
- substitutions
- symbolic matrices
- symmetric operators
- trace of square matrices