Last data update: 2014.03.03
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R: Solve a system of equation
solve.bigz | R Documentation |
Solve a system of equation
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
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... |
Unused
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Details
It uses the Gauss and trucmuch algo ... (to be detailled).
Value
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.
Author(s)
Antoine Lucas
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)
Results
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