A system of m linear equations in n unknowns is said to be a consistent system if it possesses at least one solution. If there are no solutions, then the system is called inconsistent.
Greenberg, HJ (1996) Consistency, redundancy, and implied equalities in linear systems. Annals of Mathematics and Artificial Intelligence 17: pp. 37-83Greenberg, H.J. (1996). Consistency, redundancy, and implied equalities in linear systems. Annals of Mathematics and Artificial Intelligence, 17 (...
This paper analyzes inequality systems with an arbitrary number of proper lower semicontinuous convexconstraint functions and a closed convex constraint subset of a locally convex topological vector space.More in detail, starting from well-known results on linear systems (with no constraint set), the...
Problems that reduce to consistency or inconsistency of systems of linear equations or inequalities arise in many divisions of theoretical informatics. The examples are problems in linear programming, machine learning, multicriteria optimization, etc. There exist different stability measures for the property...
Scalability: As the system grows, maintaining a linear order of operations becomes more complex and resource-intensive. Trade-offs with Availability: According to the CAP theorem, systems can only provide two out of three guarantees: Consistency, Availability, and Partition tolerance. Linear consistenc...
We extend the notion of linearity testing to the task of checking linear consistency of multiple functions. Informally, functions are "linear" if their graphs form straight lines on the plane. Two such functions are "consistent" if the lines have the same slope. We propose a variant of a te...
This paper introduces the concept of consistency for continuous-time switched linear systems having the switching function as a primary control signal to be designed. A state feedback switching control strategy is strictly consistent whenever it improves performance compared to the ones of all isolated...
NP completeness conditions for verifying the consistency of several kinds of systems of linear Diophantine congruences and equations Three series of number-theoretic problems with explicitly marked parameters that concerning systems of modulo m congruences and systems of Diophantine equa......
Consistency analysis of subspace identification methods based on a linear regression approach 来自 国家科技图书文献中心 喜欢 0 阅读量: 40 作者: T Knudsen 摘要: In the literature results can be found which claim consistency for the subspace method under certain quite weak assumptions. Unfortunately...
Strong consistency of recursive M-estimators of regression coefficients and scatter parameters in multivariate linear regression models is proved when the designs are nonrandom matrices satisfying \\(\\frac{1}{n} extstyle \\sum_{i=1}^n X_i^\\prime X_i ightarrow Q > 0\\) .关键词:M...