Applications of matrix theory: based on the proceedings of a conference organized by the Institute of Mathematics and its Applications on Applications of Matrix Theory, held in the University of Bradford in July, 1988

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Clarendon Press, Oct 26, 1989 - Mathematics - 324 pages
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This unique volume surveys the current state of research in matrix theory and applied linear algebra. It provides information on matrix approximation and factorization, matrices in optimization theory, the theory of sparse matrices, and matrix theory in statistics, with careful attention to numerical computation and the impact of parallelism of matrix computations. This comprehensive work is an invaluable reference for researchers in all areas of applied mathematics.

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Contents

Analytical problems in the aggregation of inputoutput
29
Matrix factorization with symmetry properties by
63
applications to H optimal control
71
On a matrix factorization for linearly constrained
83
Sparse matrix computations by J K Reid
123
A bezoutian matrix for Chebyshev polynomials by
137
Simultaneous complementary triangular forms for pairs of
151
Stability of 2D statespace systems by K V Fernando
171
Properties of the elements of generalised bezoutian
203
A theorem of Hermitian matrices of indefinite signature
213
Partial derivatives of Sfunctions by D B Hunter
231
A noniterative hierarchical solution to the decomposed
249
State feedback control for left eigenstructure
271
Vmatrices as covariance matrices in homogeneous Markov
291
Partial differential equations matrices and parallel
313
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The similarity transformation of the Roessers model of
193

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