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Linear system

Known as: Linear (disambiguation), Linear systems, Linear theory 
A linear system is a mathematical model of a system based on the use of a linear operator.Linear systems typically exhibit features and properties… Expand
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Highly Cited
2003
Highly Cited
2003
Preface 1. Background in linear algebra 2. Discretization of partial differential equations 3. Sparse matrices 4. Basic iterative… Expand
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Highly Cited
2001
Highly Cited
2001
We show that the coarsest, or least dense, quantizer that quadratically stabilizes a single input linear discrete time invariant… Expand
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Highly Cited
1995
Highly Cited
1995
From the Publisher: An extensive revision of the author's highly successful text, this third edition of Linear System Theory and… Expand
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Highly Cited
1995
Highly Cited
1995
The following problem is considered: given a matrix $A$ in ${\bf R}^{m \times n}$, ($m$ rows and $n$ columns), a vector $b$ in… Expand
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Highly Cited
1990
Highly Cited
1990
Multi-layered neural networks offer an exciting alternative for modelling complex non-linear systems. This paper investigates the… Expand
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Highly Cited
1986
Highly Cited
1986
We present an iterative method for solving linear systems, which has the property of minimizing at every step the norm of the… Expand
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Highly Cited
1985
Highly Cited
1985
In the last two decades considerable effort and progress have been made in the two-dimensional (2D) and multidimensional systems… Expand
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Highly Cited
1971
Highly Cited
1971
theory for ASM. In the following we characterize the ASM preconditioner B by three parameters: C0 , ρ(E) , and ω , which enter… Expand
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Highly Cited
1964
Highly Cited
1964
  • D. Luenberger
  • IEEE Transactions on Military Electronics
  • 1964
  • Corpus ID: 51668186
In much of modern control theory designs are based on the assumption that the state vector of the system to be controlled is… Expand
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Highly Cited
1952
Highly Cited
1952
An iterative algorithm is given for solving a system Ax=k of n linear equations in n unknowns. The solution is given in n steps… Expand
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