Neville Stack

Neville Stack refers to a hypothetical data structure concept combining characteristics of a Neville's algorithm and a stack data structure. While not a formally defined or widely implemented data structure in computer science, the term suggests an approach to data manipulation and computation that leverages the principles of both.

The "Neville" portion alludes to Neville's algorithm, an interpolation technique used to approximate the value of a function at a specific point based on a set of known data points. It iteratively builds polynomial approximations of increasing degree, using previously calculated approximations.

The "Stack" portion refers to the stack data structure, a Last-In, First-Out (LIFO) linear data structure. Items are added to the top of the stack (pushed) and removed from the top (popped).

Therefore, a Neville Stack could conceptually involve a stack where each element represents an intermediate polynomial approximation calculated within Neville's algorithm. As new data points are considered, new approximations are computed and pushed onto the stack, potentially utilizing previously calculated approximations residing at the top of the stack. The process could involve retrieving (popping) necessary earlier approximations from the stack to compute the next level of approximation.

However, the precise implementation and application of a Neville Stack would be dependent on the specific problem being addressed and the desired behavior. As there's no standardized definition, its interpretation and usefulness remain theoretical and problem-specific.

It's important to note that directly implementing Neville's algorithm using a standard stack data structure might not be the most efficient approach due to the inherent random access nature of retrieving values needed for the calculation, as stacks are optimized for LIFO access.