'transform the problem' is a correct and usable phrase in written English.
You can use it when you are suggesting a solution for a problem and introducing the idea of finding a way to change the problem. For example, "We need to find a way to solve this issue. Let's try to transform the problem and find a creative solution together."
It's important for the recursive step to transform the problem instance into something smaller, otherwise the recursion may never end.
The quadratic variations are analyzed to transform the problem into a Lyapunov matrix differential equation.
To solve an anisotropic flow problem, we transform the problem into an equivalent isotropic problem.
With Al Qaeda poised on Somalia's doorstep, we must beware that overwhelming use of force could transform the problem of piracy in Somalia into one of maritime terrorism.
Henceforth, we transform the problem of ensemble pruning to the mining of frequent base classifiers on the classification matrix.
Furthermore, we transform the problem of integrating domain-specific query interfaces into a problem of integrating the constraint matrices and set up a multi-objective optimization problem model.
To tackle this problem, we transform the problem of designing the optimal PAC-companion structure into a standard stochastic linear programming problem which can be solved efficiently.
The idea is to transform the problem of FO PID controller design to that of static output feedback (SOF) controller design for an FO system in descriptor form.
The formulation employs a Lagrangian Eulerian scheme to track the movement of the free boundary and transform the problem to a time-independent domain.
In this paper, we show that by a novel change of variables, which focuses on power flows, we can transform the problem to one with linear dynamics and (nearly) convex constraints.
First, we transform the problem from Cartesian to boundary-conforming curvilinear coordinates and apply the energy method to derive well-posed and conservative interface conditions.
