Generic symmetric matrix pencils with bounded rank [PDF]
arXiv, 2018 We show that the set of $n \times n$ complex symmetric matrix pencils of rank at most $r$ is the union of the closures of $\lfloor r/2\rfloor +1$ sets of matrix pencils with some, explicitly described, complete eigenstructures. As a consequence, these are the generic complete eigenstructures of $n \times n$ complex symmetric matrix pencils of rank at ...
arxiv
Universal Superconductivity in FeTe and All‐Iron‐Based Ferromagnetic Superconductor Heterostructures
Advanced Functional Materials, EarlyView.The first all‐iron‐based ferromagnetic superconductor heterostructures with high‐temperature superconductivity and strong ferromagnetism aredemonstrated. From this, it is discovered that FeTe becomes universallysuperconducting with a minute level of cationic impurities through doping ordiffusion from neighboring layers, suggesting its ground state can ...
Hee Taek Yi +12 more
wiley +1 more source
Chiral Engineered Biomaterials: New Frontiers in Cellular Fate Regulation for Regenerative Medicine
Advanced Functional Materials, EarlyView.Chiral engineered biomaterials can selectively influence cell behaviors in regenerative medicine. This review covers chiral engineered biomaterials in terms of their fabrication methods, cellular response mechanisms, and applications in directing stem cell differentiation and tissue function.
Yuwen Wang +5 more
wiley +1 more source
Solving systems of linear equations with a positive definite, symmetric, but possibly ill-conditioned matrix [PDF]
, 1955 James D. Riley
openalex +1 more source
Advanced Functional Materials, EarlyView.This review covers the recent advances in the synthesis and properties of stable radical polymers (SRPs) and presents their applications in electronics, magnetics, optoelectronics, and biomedicines. The review concludes with a discussion of the challenges in radical chemistry and functionalization, while shedding light on the groundbreaking potential ...
Yufeng Xiong +11 more
wiley +1 more source
A Note on the Capelli Operators associated with a Symmetric Matrix [PDF]
, 1953 Andrew H. Wallace
openalex +1 more source
Print‐and‐Plate Architected Electrodes for Electrochemical Transformations Under Flow
Advanced Functional Materials, EarlyView.Typical flow cell electrodes are composed of stochastic porous carbon, limiting understanding of electrode structure‐performance relationships. This work describes an approach, termed “print‐and‐plate,” to prepare porous electrodes by direct ink writing followed by conformal metal coating.
Dylan M. Barber +12 more
wiley +1 more source
Symmetry Feature and Construction for the 3-Band Tight Framelets with Prescribed Properties
Journal of Applied Mathematics, 2012 A construction approach for the 3-band tight wavelet frames by factorization of paraunitary matrix is developed. Several necessary constraints on the filter lengths and symmetric features of wavelet frames are investigated starting at the constructed ...
Jianjun Sun +3 more
doaj +1 more source
PARS3: Parallel Sparse Skew-Symmetric Matrix-Vector Multiplication with Reverse Cuthill-McKee Reordering [PDF]
arXivSparse matrices, as prevalent primitive of various scientific computing algorithms, persist as a bottleneck in processing. A skew-symmetric matrix flips signs of symmetric pairs in a symmetric matrix. Our work, Parallel 3-Way Banded Skew-Symmetric Sparse Matrix-Vector Multiplication, equally improves parallel symmetric SpMV kernels with a different ...
arxiv
Symmetric matrix inversion using modified Gaussian elimination [PDF]
arXiv, 2015 In this paper we present two different variants of method for symmetric matrix inversion, based on modified Gaussian elimination. Both methods avoid computation of square roots and have a reduced machine time's spending. Further, both of them can be used efficiently not only for positive (semi-) definite, but for any non-singular symmetric matrix ...
arxiv