K-RANGE SYMMETRIC INCLINE MATRICES

The concept of generalized k-symmetric incline matrices is introduced as a development of the complex k - EP matrix and k -EP fuzzy matrix. A set of necessary and sufficient conditions are determined for a incline matrix to be k-range symmetric. Further equivalent characterization of k-range symmetric matrices are established for incline matrices and also the existence of various g-inverses of a matrix in £n has been determined. Equivalent conditions for various g-inverses of a k-range symmetric matrix to be k-range symmetric are determined. Generalized inverses belonging to the sets A {1,2} , A{1,2,3} and A{1,2,4} of a k-range symmetric matrix A are characterized. MS classification: 16Y60, 15B33.