论文信息 - Generalized and hypergeneralized projectors

Generalized and hypergeneralized projectors

Abstract Generalizations of the class of projectors are considered within the classes of normal and EP matrices. Some properties are derived, and results on the sum, difference, and product of generalized and hypergeneralized projectors are given.

Götz Trenkler | G. Trenkler | Jürgen Groβ | Jürgen Groβ

[1] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[2] Friedrich Pukelsheim,et al. Some properties of matrix partial orderings , 1989 .

[3] K. S. Banerjee. Generalized Inverse of Matrices and Its Applications , 1973 .

[4] Adi Ben-Israel,et al. Generalized inverses: theory and applications , 1974 .

[5] G. Styan,et al. On some characterizations of the “star” partial ordering for matrices and rank subtractivity , 1986 .

[6] C. D. Meyer,et al. Generalized inverses of linear transformations , 1979 .

[7] Proceedings of the Second International Tampere Conference in Statistics , 1989 .

[8] H. Werner. A closed form formula for the intersection of two complex matrices under the star order , 1990 .

[9] R. Hartwig,et al. Matrices for which A∗ and A† commute , 1983 .