Roundoff error estimates of the modified Gram-Schmidt algorithm with column pivoting
Backward and forward roundoff error estimates for the modified Gram-Schmidt algorithm with column pivoting are provided. It is shown that, the row-wise growth factors of the method are bounded, and that, if the matrix is well conditioned, then with a properly chosen tolerance, this algorithm can also correctly determine the numerical rank of the matrix.
scientific article; zbMATH DE number 2073456