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
著者
書誌事項
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
（The Institute of Mathematics and its Applications conference series, new ser. 22）
Clarendon Press , Oxford University Press, 1989
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内容説明・目次
内容説明
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.
目次
- Matrix nearness problems and applications, N.J.Higham
- analytical problems in the aggregation of input-output models, E.C.Howe and C.R.Johnson
- matrix factorization with symmetry properties by T.J.Laffey
- vector interpolation - applications to H - optimal control, D.J.N. Limebeer and E.M.Kasenally
- on a matrix factorization for linearly constrained optimization problems, M.J.D.Powell
- sparse matrix computations, J.K.Reid
- matrices and statistics, R.A. Bailey and J.C.Gower
- parallelism in solving sparse linear systems of equations, J. A. George
- bilinear antisymmetric form in optimal control problem, A.P.Afanasyev
- a bezoutian matrix for Chebyshev polynomials, S. Barnett
- simultaneous complementary triangular forms for pairs of matrices, H.Bart and G.Ph.A.Thijsse
- the use of the generalized conjugate gradient method for unsymmetric systems of linear equations possessing "property A", D.J. Evans, C. Li
- stability of 2D state-space systems, K.V.Fernando
- the similarity transformation of the Roesser's model of N-D systems, K. Gaikowski
- properties of the elements of generalised bezoutian matrices and their inverses, M.J.C.Gover
- a theorem of Hermitian matrices of indefinite signature, P.R.Graves-Morris and C.R.Johnson
- on optimal control of time-invariant continuous-time descriptor systems containing input-derivatives, S.Harris et al
- partial derivatives of S-functions, D.B.Hunter
- system theoretic characterisations of the greatest common divisor of a set of polynomials, N.Karcanias
- a non-iterative hierarchical solution to the decomposed linear WLS estimation problem for steady-state systems, J.F.Marsch
- zero location criteria for second-degree matrix polynomials, T.Mori and S.Barnett
- state feedback control for left engenstructure insensitivity, T.J.Owens
- expansions for the exponential of a sum of matrices by A.N.Richmond
- V-matrices as covariance matrices in homogeneous Markov systems, G.Tsaklidis, P.C.G.Vassiliou
- linear system requirements of matrix transformation, A.Walker et al
- partial differential equations, matrices and parallel algorithms, A.S.Wood
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