In the theoretical explorations and numerical computations of split quaternionic mechanics, a common extremely effective tool for study quantum mechanics field theory is quaternion equality constrained least squares (LSESQ) problem. This paper first time studies generalized singular value decomposition matrices (GSVDSQ) based on $$2\times 2$$ isomorphic representation obtains GSVDSQ theorem. ad...

A new algorithm for 3D localization in multiplatform radar networks, comprising one transmitter and multiple receivers, is proposed. To take advantage of the monostatic sensor radiation pattern features, ad-hoc constraints are imposed target process. Therefore, problem formulated as a non-convex constrained Least Squares (LS) optimization which globally solved quasi-closed-form leveraging Karus...

Today, we analyze an application of random projection to compute approximate solutions of constrained least-squares problems. This method is often referred to as sketched least-squares. Suppose that we are given an observation vector y ∈ R n and matrix A ∈ R n×d , and that for some convex set C ⊂ R d , we would like to compute the constrained least-squares solution x LS : = argmin x∈C 1 2 y − A...