Second-Order Krylov Subspace and Arnoldi Procedure

• 作 者: 柏兆俊 苏仰锋
• 机 构: DepartmentofComputerScienceandDepartnwntofMathematics,DepartmentofMathematics
• 出 处: 上海大学学报：英文版
• 发表日期: 2004年4期
• 关键词: 二次Krylov 子空间 Arnoldi过程 二次特征值 维数缩减 线性空间 second-order Krylov subspace second-orde
• 基金项目: ProjectsupportedinpartbytheNationalNaturalScienceFoun dationofChina (GrantACI 0 2 2 0 10 4and 10 0 0 10 0 9)

We report our recent work on a second-order Krylov subspace and the corresponding second-order Arnoldi procedure forgenerating its orthonormal basis. The second-order Krylov subspace is spanned by a sequence of vectors defined via a second-orderlinear hom