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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 ......
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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....
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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 ......
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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....
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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...
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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...
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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。...