Least Squares - Solving The Least Squares Problem

Solving The Least Squares Problem

The minimum of the sum of squares is found by setting the gradient to zero. Since the model contains m parameters there are m gradient equations.

and since the gradient equations become

.

The gradient equations apply to all least squares problems. Each particular problem requires particular expressions for the model and its partial derivatives.

Read more about this topic:  Least Squares

Famous quotes containing the words solving the, solving, squares and/or problem:

    Will women find themselves in the same position they have always been? Or do we see liberation as solving the conditions of women in our society?... If we continue to shy away from this problem we will not be able to solve it after independence. But if we can say that our first priority is the emancipation of women, we will become free as members of an oppressed community.
    Ruth Mompati (b. 1925)

    You are right to demand that an artist engage his work consciously, but you confuse two different things: solving the problem and correctly posing the question.
    Anton Pavlovich Chekhov (1860–1904)

    And New York is the most beautiful city in the world? It is not far from it. No urban night is like the night there.... Squares after squares of flame, set up and cut into the aether. Here is our poetry, for we have pulled down the stars to our will.
    Ezra Pound (1885–1972)

    Great speeches have always had great soundbites. The problem now is that the young technicians who put together speeches are paying attention only to the soundbite, not to the text as a whole, not realizing that all great soundbites happen by accident, which is to say, all great soundbites are yielded up inevitably, as part of the natural expression of the text. They are part of the tapestry, they aren’t a little flower somebody sewed on.
    Peggy Noonan (b. 1950)