He drew two lines by the third and fifth lines of the equation, followed by a question mark.
His expression was thoughtful:
"Seems like..."
"Could the composite system of equations on this piece of paper be calculated in three parts?"
It's well known.
Regularization theory was first proposed to solve ill-posed problems.
For a long time, it was believed that mathematical problems derived from practical problems were always well-posed.
As early as the early 20th century.
Hadamard observed a phenomenon:
In some very general circumstances, solving linear equations can be ill-posed.
Even if the equation has a unique solution, a small disturbance on the right side of the equation can cause a large change in the solution.
In this situation.
Minimizing a norm function of the difference between both sides of an equation doesn't yield an approximate solution to the equation.
By the 1960s.
