THE problem of ‘inverting’ singular matrices is by no means uncommon in statistical analysis. Rao 1 has shown in a lemma that a generalized inverse (g-inverse) always exists, although in the case of a ...
Institute of Reproducing Kernels, Kiryu, Japan. We shall need the basic theory of reproducing kernels in connection with matrices. We shall fix the minimum requests for our purpose. A simple example ...
ABSTRACT: Matrix Padé approximation is a widely used method for computing matrix functions. In this paper, we apply matrix Padé-type approximation instead of typical Padé approximation to computing ...
Abstract: There has recently been renewed recognition of the need to understand the consistency properties that must be preserved when a generalized matrix inverse is required. The most widely known ...
A Note on a Generalized Inverse of a Matrix with Applications to Problems in Mathematical Statistics
Some years ago the author defined a pseudo inverse of a singular matrix and used it in representing a solution of normal equations and for obtaining variances and covariances of estimates in the ...
Abstract. In this paper, an iterative method is presented to solve the linear matrix equation AXB = C over the generalized reflexive (or anti-reflexive) matrix X (A ∈ Rp×n; B ∈ Rm×q, C ∈ Rp×q, X ∈ ...
Abstract: In order to realize the coordinated control of multi-effector aircraft, this paper uses the generalized inverse method to design its control allocation scheme. Then the particle swarm ...
The estimated covariance matrix of the parameter estimates is computed as the inverse Hessian matrix, and for unconstrained problems it should be positive definite. If the final parameter estimates ...
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