For an iterated function system (IFS) with contractive similarities, the post-critically finite (p.c.f.) condition and H-condition are two important separation conditions in the literature. But their relationship is not clear. In this paper, we show that if the similarity matrices of the IFS...
The Necessary and Sufficient Condition About Sum of Unitary Matrices Is Unitary Matrix 来自 知网 喜欢 0 阅读量: 14 作者: JP Huang 摘要: Let A,B be unitary matrix(partial unitary matrix or para unitary matrix).In this paper,we give sufficient and necessary condition for A+B is unitary ...
As, after a suitable rotation, the differential operator {{\,\textrm{div}\,}} equals {{\,\textrm{curl}\,}} for dimension N=2, we only consider dimension N\ge 3. Note that the characteristic cone \Lambda _{{{\,\textrm{div}\,}}} is the space of matrices with rank \le N-1, ...
Condition for AB+A+B=0 where A and B are matrices I first tried by assuming the matrices but it was becoming complicated so i tried taking transpose on both sides,it also did not help.So now i could not think of what to do further.Help please. ...
7.5 Extension 5: Both the mass and stiffness matrices depend on unknown parameters In Section 6 we considered the adjoint method for a time-dependent problem at the semi-discrete level. We assumed that the mass matrix M was constant, and that only the stiffness matrix K depended on the unkno...
He used the Baker–Campbell–Hausdorff formula to prove this conjecture for the particular case when P={1,2}, the matrices A1 and A2 are nonsingular, and their third-order Lie brackets vanish: [A1,[A1,A2]]=[A2,[A1,A2]]=0. By establishing the existence of a quadratic common Lyapunov...
Similar content being viewed by others On the condition number of Vandermonde matrices with pairs of nearly-colliding nodes Article Open access 21 July 2020 Upper bounds for the spectral radius of matrices having the Perron–Frobenius property Article Open access 15 May 2024 On the regularity...
Hi all! I was wondering what the necessary condition is for two arbitrary matrices, say A and B, to commute: AB = BA. I know of several sufficient conditions (e.g. that A, B be diagonal, that they are symmetric and their product is symmetric etc), but I can't think of a necessa...
We used a Non-Negative Matrix Factorization (NMF) that finds two non-negative matrices (W, H) whose product approximates the non-negative matrix Me. This factorization can be used for example for dimensional reduction, source separation, or topic extraction. In our case, we assumed Metrain is...
However, the requirement for precise numerical values within these matrices requires respondents to have a thorough understanding of the relative importance of each choice. In practice, due to the complexity of objective phenomena and the human mind's use of fuzzy concepts, describing relative...