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deconv

deconv(b,a)

Construct vector c such that b = conv(a,c) + r. Equivalent to polynomial division.

Examples

1. Perform polynomial division:

   julia> b = [1, 0, -1, 2];
   julia> a = [1, 1];
   julia> c = deconv(b, a)
   3-element Array{Float64,1}:
   1.0
   -1.0
   2.0

   This example performs polynomial division of b by a and returns the quotient vector c.

2. Handle rational coefficients:

   julia> b = [2//3, -1//2, 1//4, -1//8];
   julia> a = [1//2, -1//4];
   julia> c = deconv(b, a)
   3-element Array{Rational{Int64},1}:
   4//3
   -1//2
   1//4

   The deconv function can handle rational coefficients in the input vectors.

3. Divide two complex polynomials:

   julia> b = [1+2im, 0, -1-3im];
   julia> a = [1im, 1];
   julia> c = deconv(b, a)
   2-element Array{Complex{Int64},1}:
   -1+3im
    1-5im

   The deconv function works with complex polynomial coefficients as well.

Common mistake example:

julia> b = [1, 2, 3];
julia> a = [];
julia> c = deconv(b, a)
ERROR: Singular matrix

In this example, the a vector is empty, resulting in a singular matrix and causing an error. Ensure that the a vector is non-empty when using deconv.

See Also

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