Of course, each of the P-matrices, such as positive definite matrices (PD), totally positive matrices (TP), M-matrices (M) and inverse M-matrices ( M − 1 ), is 1-minor symmetric, see [1].
The complete analytical equations for NC data are obtained through homogeneous coordinate transformation matrix and inverse kinematics.
Clearly, the Schur complements of positive semidefinite matrices are positive semidefinite, the same is true for M-matrices, H-matrices and inverse M-matrices (see [4, 5]).
In this paper, the class of K 0 -matrices, which includes positive definite matrices, totally positive matrices, M-matrices and inverse M-matrices, is first introduced and the refinements of Fischer's inequality and Hadamard's inequality for K 0 -matrices are obtained.
The proposed technique calculates and stores transformation matrices and their inverse during preprocessing, which are then used to discretize the B-spline surfaces.
Therefore, rank (N1)=m, which means N i, i=1, 2 are full rank matrices and possess inverse matrices.
The matching model matrices and the inverse filters are given in (7) and (8).
The superscripts "T" and "−1" stand for matrix transposition and inverse, respectively.
Any property of matrices that is preserved under matrix products and inverses can be used to define further matrix groups.
In this paper we provide algorithms for computing the bidiagonal decomposition of rational Bernstein Vandermonde matrices and their inverses with high relative accuracy.
