[x3d-public] Need PhD for Vector Calculus problem

[John Carlson]

Think of the sum of a taylor series being a vector, matrix, or field.  This
is like

f(V) = ...something like a Taylor Series where V is a vector

f(M) = ... ditto where M is a matrix

f(F) = ... ditto where F is a field (as in physics)

I'm looking more for a name of the thing than anything else. Field series?

On Mon, May 15, 2023 at 2:47 PM GPU Group <gpugroup at gmail.com> wrote:

> Taylor Series use: linearizing a non-linear equation for iterative linear
> solutions. Take the first 2 terms of the taylor series expansion, and
> that's a straight line equivalent to the tangent line to the non-linear
> curve. Solve for a new guess on each iteration until the error term is
> small.
> -Doug
>
> On Mon, May 15, 2023 at 12:52 PM John Carlson <yottzumm at gmail.com> wrote:
>
>> Is there a kind of Taylor Series that produces a vector or vector field
>> instead of a single number?
>>
>> Or maybe just an advanced undergraduate?
>>
>> I guess it's kind of like a matrix sum, where the terms are matrices.
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