Gauss elimination: Difference between partial and complete pivoting

Question

I have some trouble with understanding the difference between partial and complete pivoting in Gauss elimination. I've found a few sources which are saying different things about what is allowed in each pivoting. From my understanding, in partial pivoting we are only allowed to change the columns (and are looking only at particular row), while in complete pivoting we look for highest value in whole matrix, and move it "to the top", by changing columns and rows. Is this correct, or am I wrong?

Answer 1

Partial pivoting is about changing the rows of the matrix, effectively changing the order of the equations. Full pivoting also changes the variables order

Answer 2

Partial..it is the process of selecting the largest element in the magnitude in the column as positive element and interchanging the rows..

Complete...it is the process of selecting the largest element in the magnitude as the pivot element by interchanging row as well as column...