GivensymmetricmatricesB,D∈Rn×nandasymmetricpositivedefinite matrixW∈Rn×n,maximizingthesumoftheRayleighquotientx?Dxandthegener- alizedRayleighquotient x?Bx x?Wx ontheunitspherenotonlyisofmathematicalinterest initsownright,butalsofindsapplicationsinprac