Minimum Principles for Ill-Posed Problems
Minimum Principles for Ill-Posed Problems
Ill-posed problems $Ax = h$ are discussed in which A is Hermitian and postive definite; a bound $\| {Bx} \| \leqq \beta $ is prescribed. A minimum principle is given for an approximate solution $\hat x$. Comparisons are made with the least-squares solutions of K. Miller, A. Tikhonov, et al. …