Lindqvist BH (2002) On comparison of the Perron- Frobenius eigenvalues of two ML-matrices. Linear Algebra and Its Applications 353:257-266.Lindqvist, B. H.: On comparison of the Perron-Frobenius eigenvalues of two ML-matrices. Linear Algebra and Its Applications 353, 257-266 (2002)...
In an earlier paper we conjectured an inequality for the Frobenius norm of the commutator of two matrices. This conjecture was recently proved by Seak-Weng Vong and Xiao-Qing Jin and independently also by Zhiqin Lu. We here give a completely different proof of this inequality, prove some rela...
如果您正在搜索inner product of matrices，可能的（可能不是最佳的）解决方案可能是我认为你在寻找一个...
is a constant and all the other terms depend on the u s as polynomials. to show that it is also lower anti-triangular, it is enough to observe that every lower anti-triangular matrix can be obtained as a product la of two matrices, where l is lower triangular and a is the matrix wi...
如果您正在搜索inner product of matrices，可能的（可能不是最佳的）解决方案可能是我认为你在寻找一个...
where the two first-derivative terms are required due to the non-commutativity of matrix multiplication. If one restricts such an equation to the space of commuting matrices, one arrives at the equationUt=Uxxx+6UUxwhich is identical in form to the original KdV equation but with a matrix-value...
These algorithmic differences can also lead to variations in the results, especially for large matrices. Regards, Ruqiu Translate 0 Kudos Copy link Reply kdv New Contributor I 12-06-2024 03:39 AM 1,090 Views Hello, Ruqiu! Thanks for your explanation. But I ...
proposed a novel measure of the degree of symmetry by virtue of group theoretical approach and showed that this quantity can effectively detect the phenomena of accidental degeneracy and spontaneous symmetry breaking46. In this work, we formulate two Frobenius-norm-based measures by fur- ther ...
of constructingsymmetric matrix,a eigenvaluesinequality isobtainedwhichisaboutmatricessummationand margin, anditsformisasthesameasWielandt—Hoffamantheorem’S.Thethirdsection gives someFrobeniusnorm inequality aboutmatrix product.On thebasisofthe conclusionsofthethird ...
By using generalized Frobenius norm and weak loop product of the quaternion matrices, a real-valued function for the quaternion matrices are established and its minimal value is simply expressed. 利用四元数矩阵的广义Frobenius范数和弱圈积,建立一个关于四元数矩阵的实函数并简洁表征其极小值。 3. By...