求解广义瑞利商的极值问题包括局部最优值和全局最优值的论证

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