search:positive definite相關網頁資料

      • en.wikipedia.org
        In linear algebra, a symmetric n × n real matrix M is said to be positive definite if z T Mz is positive for every non-zero column vector z of n real numbers. Here z T denotes the transpose of z. More generally, an n × n ...
        瀏覽:1223
      • www.ascc.sinica.edu.tw
        正定帶狀矩陣 Up: 正定與正定帶狀矩陣 Previous: 正定與正定帶狀矩陣 正定矩陣 (Positive Definite Matrices) 使用副程式:SPOCO,SPOFA,SPOSL 以及 SPPCO,SPPFA,SPPSL,SPPDI 本節針對正定對稱(symmetric positive definite) 矩陣作 介紹,在計算的 ...
        瀏覽:336
    瀏覽:375
    日期:2024-04-20
    正定矩陣的判斷 Positive Definite Matrix 如何判斷一個矩陣是否為正定矩陣? 首先,請先特別注意到我們所討論的正定矩陣必須有對稱的性質。 (有些書上定義上不要求對稱) 要判斷一個矩陣是否正定,當然我們可以從其定義來做,不過可以發現,粉 ......
    瀏覽:1474
    日期:2024-04-21
    In mathematics, positive definiteness is a property of any object to which a bilinear form or a sesquilinear form may be naturally associated, which is positive definite....
    瀏覽:354
    日期:2024-04-23
    POSITIVE DEFINITE MATRICES C. R. JOHNSON, Northwestern University Historically, positive definite matrices arise quite naturally in the study of n-ary quadratic forms and assume both theoretic and computational importance in a wide variety of ......
    瀏覽:900
    日期:2024-04-21
    One can show that a Hermitian matrix is positive definite if and only if all its eigenvalues are positive [1]. Thus the determinant of a positive definite matrix is positive, and a positive definite matrix is always invertible....
    瀏覽:1140
    日期:2024-04-20
    An n×n complex matrix A is called positive definite if R[x^*Ax]>0 (1) for all nonzero complex vectors x in C^n, where x^* denotes the conjugate transpose of the vector x. In the case of a real matrix A, equation (1) reduces to x^(T)Ax>0, (2) where x^(T) d...
    瀏覽:1235
    日期:2024-04-26
    出處/學術領域 英文詞彙 中文詞彙 學術名詞 工業工程名詞 positive definite 正定 學術名詞 氣象學名詞 positive definite 正定[的] 學術名詞 經濟學 Positive definite 正定的 學術名詞 數學名詞 positive definite 正定的 學術名詞 統計學名詞...
    瀏覽:810
    日期:2024-04-20
    ... (Eigenvectors) Eigenvalues and Eigenvectors 6.5 Positive Definite Matrices 6.6 Similar Matrices 6.7 Singular Value Decomposition (SVD) * * 6.5 Positive Definite Matrices(正定矩陣) 一個對稱矩陣(AT=A)的特徵值都是正數時(all>0),被稱為正定矩陣。...