段火元.Hilbert空间的正交分解及其应用[J].数学研究及应用,2002,22(4):599~602 |
Hilbert空间的正交分解及其应用 |
Characterization of the Orthogonal Decomposition of the Hilbert Space and Application |
投稿时间:2000-01-17 |
DOI:10.3770/j.issn:1000-341X.2002.04.016 |
中文关键词: |
英文关键词:Hilbert space orthogonal decomposition Riesz-representation saddle-point problem. |
基金项目: |
|
摘要点击次数: 2230 |
全文下载次数: 946 |
中文摘要: |
基于Riesz-表示算子,给出了实Hilbert内积空间按某种连续双线性泛函的正交分解的刻划,应用于鞍点变分问题,获得了解的分离及其强制型于问题. |
英文摘要: |
This paper proposes a characterization of the orthogonal subspace of Hilbert space, where the orthogonal decomposition is derived from some continuous bilinear form. As an application, the solutions to saddle-point problems are decoupled, and as a result two coercive subproblems are obtained, which can be separately approximated. |
查看全文 查看/发表评论 下载PDF阅读器 |
|
|
|