Homogeneous matrix equations and multivariate linear models
نویسندگان
چکیده
منابع مشابه
Bayes Linear Covariance Matrix Adjustment for Multivariate Dynamic Linear Models
A methodology is developed for the Bayes linear adjustment of the covariance matrices underlying a multivariate constant time series dynamic linear model. The covariance matrices are embedded in a distribution-free inner-product space of matrix objects which facilitates such adjustment. This approach helps to make the analysis simple, tractable and robust. To illustrate the methods, a simple mo...
متن کاملNew solution of fuzzy linear matrix equations
In this paper, a new method based on parametric form for approximate solu-tion of fuzzy linear matrix equations (FLMEs) of the form AX = B; where Ais a crisp matrix, B is a fuzzy number matrix and the unknown matrix X one,is presented. Then a numerical example is presented to illustrate the proposedmodel.
متن کاملMultivariate Linear Models
For example, we may have (i) measurements of d = 5 air pollutants (CO, NO, etc.) on n = 42 widely-separated days, (ii) d test scores for n different students, (iii) best results for d Olympic events for teams from n different countries, or (iv) d different physical measurements for n individuals (human or animal) that we are trying to classify. In each case, the i row corresponds to the i multi...
متن کاملMultivariate Linear Path Models
Path analysis is useful to explain the interrelationships among sets of observed variables in a causal chain. However, path analysis has been underutilized in health science and epidemiology research, because of its restrictive requirement of a complete causal ordering of variables. In order to solve this problem, we suggest the use of multivariate path models and derive a multivariate ”Calculu...
متن کاملMultivariate Discrete Splines and Linear Diophantine Equations
In this paper we investigate the algebraic properties of multivariate discrete splines. It turns out that multivariate discrete splines are closely related to linear diophantine equations. In particular, we use a solvability condition for a system of linear diophantine equations to obtain a necessary and sufficient condition for the integer translates of a discrete box spline to be linearly ind...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1993
ISSN: 0024-3795
DOI: 10.1016/0024-3795(93)90269-t