Engineering topics
Publications and source records attributed to Decell, H. P., Jr..
The maximum likelihood procedure is used for dealing with the problem of classifying into one of m distinct n-variate classes, an arbitrary n-channel multispectral measurement vector x.
The problem is considered of classifying into one of m distinct n-variate classes an arbitrary n-channel multispectral measurement vector x. The classification procedure used is the maximum likelihood procedure. Information loss in compressing the n-channel data to k channels is taken to be the difference in the average interclass divergences (or probability of misclassification) in n-space and in k-space. Data compression is accomplished by kxn linear transformation i.e., multiplication of the spectral n-vector by a kxn matrix of rank k.
Classical iterative methods in nonlinear regression are reviewed and improved upon. This is accomplished by discussion of the geometrical and theoretical motivation for introducing modifications using generalized matrix inversion. Examples having inherent pitfalls are presented and compared in terms of results obtained using classical and modified techniques. The modification is shown to be useful alone or in conjunction with other modifications appearing in the literature.
A general expression is given for the derivative of the C sub 4 - inverse of a differentiable matrix A whenever that derivative, as well as the derivative of A, exists.
Fixed point probability row vector of regular or ergodic transition matrices simplified using generalized matrix inversion theory
Step size for numerical solution of differential equation without violating stability region constraint
Iterative method with proof for computing matrix generalized inverse
Numerical integration based on definition of Riemann integral, describing application to nonlinear integral equations of isotropic scattering of radiation in plane parallel atmosphere
Matrix inversion algorithm from Cayley-Hamilton
Generalized inverse of arbitrary complex matrix in alternative form of Penrose
Generalized matrix inversion theory used in formulating recursive algorithm for least squares parameter estimation
Equations for inversion of singular matrix - special form of generalized inverse of arbitrary complex matrix
Generalized inversion of arbitrary complex matrices