2 citations · 2 across the 6 of their papers we have counts for
6 papers
Tensor-Lifted Multivariate Functional Calculus Beyond Commutativity and Boundedness
Shih-Yu Chang
Classical functional calculus is primarily spectral, capturing eigenvalue information through resolvent methods while largely ignoring nilpotent structure. Building on the projecto…
Generalized Multivariate Hypercomplex Function Inequalities and Their Applications
Shih-Yu Chang
This work extends the Mond-Pecaric method to functions with multiple operators as arguments by providing arbitrarily close approximations of the original functions. Instead of usin…
Multivariate Mond-Pecaric Method with Applications to Hypercomplex Function Sobolev Embedding
Shih-Yu Chang
Mond and Pecaric introduced a method to simplify the determination of complementary inequalities for Jensen's inequality by converting it into a single-variable maximization or min…
Generalized Converses of Operator Jensens Inequalities with Applications to Hypercomplex Function Approximations and Bounds Algebra
Shih-Yu Chang
Mond and Pecaric proposed a powerful method, namd as MP method, to deal with operator inequalities. However, this method requires a real-valued function to be convex or concave, an…
Algebraic Riccati Tensor Equations with Applications in Multilinear Control Systems
Yuchao Wang, Yimin Wei, Guofeng Zhang +1
In a recent paper by Chen et al. [8], the authors initiated the control-theoretic study of a class of discrete-time multilinear time-invariant (MLTI) control systems, where system…
T product Tensors Part II: Tail Bounds for Sums of Random T product Tensors
Shih Yu Chang, Yimin Wei
This paper is the Part II of a serious work about T product tensors focusing at establishing new probability bounds for sums of random, independent, T product tensors. These probab…