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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…

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…

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…

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…

Review

1992

Review

1992

Mathematical notation and review state equation representation state equation solution transition matrix properties two important…

Highly Cited

1990

Highly Cited

1990

Multi-layered neural networks offer an exciting alternative for modelling complex non-linear systems. This paper investigates the…

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…

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…

Highly Cited

1964

Highly Cited

1964

In much of modern control theory designs are based on the assumption that the state vector of the system to be controlled is…

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…