Journal of Mathematical Analysis and ApplicationsJ. Keilson, G. Styan, Markov chains and M-matrices: Inequalities and equalities, J. Math. Anal. Appl. 41 (1973) 439-459.J.H. Keilson and G.P.H. Styan, “Markov Chain and M-Matrices: Inequalities and Equalities,” J. Math. Anal. Appl...
Equalities and Inequalities in the Standard Units Environment Description Examples Description • In theStandard Unitsenvironment, the equality and inequality operators (=,<,≤,>,≥, and≠) are modified so that they perform the necessary operations on expressions with units. • The properties of ...
Bani-Ahmad and Bani-Domi Journal of Inequalities and Applications (2016) 2016:175 DOI 10.1186/s13660-016-1108-y RESEARCH Open Access New norm equalities and inequalities for operator matrices Feras Ali Bani-Ahmad1 and Watheq Bani-Domi2* *Correspondence: watheq@yu.edu.jo 2Department of ...
diag-circulant operator matrices and retrocirculant operator matrices, are given respectively. Several norm equalities and inequalities for these operator matrices are proved. We show the special cases for norm equalities and inequalities, such as the usual operator norm and the Schattenp-norm. Pinching...
the inequalities are transfered into equalities and a system of semismooth equations is set.Then a smoothing Gauss-Newton method is introduced for solving the reformulated system.The global and local convergence are studied under suitable conditions.Numerical examples are given to show that the new ...
We consider cases of equality in three basic inequalities for eigenvalues of Hermitian matrices: Cauchy's interlacing inequalities for principal submatrices, Weyl's inequalities for sums, and the residual theorem. Several applications generalize and sharpen known results for eigenvalues of irreducible tridia...
Various results on P±Q and their properties can be found in the literature [2], [3], [7], [8], [9], [10], [11], [12], [18], [21]. Recall that a square matrix A of order m is nonsingular if and only if r(A)=m. If some rank equalities and inequalities for P±Q ...
For symmetric independent random values sharp estimates for the constants in Marcinkiewicz's inequalities are derived. The estimates of the left-hand and right-hand constants are roughly equivalent. Similar estimates for self-normalized ... GM Constantine,TH Savits - 《Trans.amer.math.soc》 被引量...
Matrix Equalities and Inequalities Involving Khatri-Rao and Tracy-Singh Sums The Khatri-Rao and Tracy-Singh products for partitioned matrices are viewed as generalized Hadamard and generalized Kronecker products, respectively. We define the Khatri- Rao and Tracy-Singh sums for partitioned matrices as ...
- 《Math Comp》 被引量: 327发表: 2001年 Integral boundary points of convex polyhedra, linear inequalities and related systems Two sets in Rm are said to be n-separated if, for every n distinct points p1,…, pn of one set, there is a point of the other in the relative interior of ...