Modify the least-squares problemY−g−G(β−β(j)) so that the Levenberg–Marquardt step XXXXXXXXXXgives the solution. (Hint: Add new observations.)   Prove the extended Cauchy–Schwarz inequality maxxcTx2...

Modify the least-squares problemY−g−G(β−β(j)) so that the Levenberg–Marquardt step (9.8.6) gives the solution. (Hint: Add new observations.)

Prove the extended Cauchy–Schwarz inequality maxxcTx2 /(xTBx) = cTB−1 c.