In this paper,we study some inclusion sets of US-eigenvalues and U-eigenvalues based on quantum information.We give three inclusion sets theorems of US-eigenvalues and two inclusion sets theorems of U-eigenvalues.And ...In this paper,we study some inclusion sets of US-eigenvalues and U-eigenvalues based on quantum information.We give three inclusion sets theorems of US-eigenvalues and two inclusion sets theorems of U-eigenvalues.And we obtain the relationships among these inclusion sets.Some numerical examples are shown to illustrate the conclusions.展开更多
In this paper,we establish some Brauer-type bounds for the spectral radius of Hadamard product of two nonnegative tensors based on Brauer-type inclusion set,which are shown to be sharper than the existing bounds estab...In this paper,we establish some Brauer-type bounds for the spectral radius of Hadamard product of two nonnegative tensors based on Brauer-type inclusion set,which are shown to be sharper than the existing bounds established in the literature.The validity of the obtained results is theoretically and numerically tested.展开更多
基金supported in part by the National Natural Science Foundation of China(No.12071097)the Joint Guidance Natural Science Foundation of Heilongjiang Province of China(No.LH2021A004)the Basic Scientific Research Foundation of National Defense(No.JCKYS2021604SSJS002)
文摘In this paper,we study some inclusion sets of US-eigenvalues and U-eigenvalues based on quantum information.We give three inclusion sets theorems of US-eigenvalues and two inclusion sets theorems of U-eigenvalues.And we obtain the relationships among these inclusion sets.Some numerical examples are shown to illustrate the conclusions.
基金This work was supported by the National Natural Science Foundation of China(Grant No.11671228).
文摘In this paper,we establish some Brauer-type bounds for the spectral radius of Hadamard product of two nonnegative tensors based on Brauer-type inclusion set,which are shown to be sharper than the existing bounds established in the literature.The validity of the obtained results is theoretically and numerically tested.
