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Minimax Equalities by Reconstruction of Polytopes
Minimax Equalities Reconstruction of Polytopes
2009/1/13
Given a quasi-concave-convex real-valued function f: X×Y -> R defined on the product of two convex sets we would like to know if inffY supX f = supX inffY f...
Global Convergence of a Modified SQP Method for Mathematical Programs With Inequalities and Equalities Constraints
Nonlinear Programs Inequalities and Equalities System Sequential quadratic programming
2008/7/1
When we solve an ordinary nonlinear programming problem by the most and popular sequential quadratic programming (SQP) method, one of the difficulties that we must overcome is to ensure the consistenc...
Matrix Equalities and Inequalities Involving Khatri-Rao and Tracy-Singh Sums
Kronecker product (sum) Hadamard product (sum) Khatri-Rao product (sum) Tracy-Singh product (sum) Positive (semi)definite matrix Unitarily invariant norm Spectral norm P-norm Moore-Penrose inverse
2008/6/30
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 ...
Clebsch-Gordan Equalities that imply the Vanishing of Particular 6j Symbols
Clebsch-Gordan coefficients 6j symbols Regge symmetries angular momenta
2010/4/13
Three Clebsch-Gordan equalities and three individual Clebsh-Gordan relations are obtained by studying the non-accidental vanishing of certain 6j symbols.
Moments Equalities for Nonnegative Integer-Valued Random Variables
Expectation Moments Equalities
2010/2/26
We present and prove two theorems about equalities for the nth moment of nonnegative integer-valued random variables. These equalities generalize the well known equality for the first moment of a nonn...