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solve.bigz {gmp}

Solve a system of equation
Package: 
gmp
Version: 
0.5-11

Description

This generic function solves the equation a %*% x = b for x, where b can be either a vector or a matrix.

If a and b are rational, return is a rational matrix.

If a and b are big integers (of class bigz) solution is in Z/nZ if there is a common modulus, or a rational matrix if not.

Usage

 
## S3 method for class 'bigz':
solve((a, b, ...))

## S3 method for class 'bigq':
solve((a, b, ...))

Arguments

a,b
A element of class bigz or bigq
...
Unused

Details

It uses the Gauss and trucmuch algo ... (to be detailled).

Values

If a and b are rational, return is a rational matrix.

If a and b are big integers (of class bigz) solution is in Z/nZ if there is a common modulus, of a rational matrix if not.

See Also

solve

Examples

x <- matrix(1:4,2,2)
 ## standard solve
 solve(x)
 
 q <- as.bigq(x)
 ## solve with rational
 solve(q)
 
 z <- as.bigz(x)
 modulus(z) <- 7
 ## solve in Z/7Z
 solve(z)
 
 b <- c(1,3)
 
 solve(q,b)
 
 solve(z,b)

Author(s)

Antoine Lucas

Documentation reproduced from package gmp, version 0.5-11. License: GPL