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Some classes of linear conjugation problems for a three-dimensional vector that are solvable in closed form [PDF]
Siberian Mathematical Journal, 2015 © 2015, Pleiades Publishing, Ltd. We consider the structure of the set of piecewise meromorphic solutions for a homogeneous linear conjugation problem for a three-dimensional vector. We show that, in the presence of two piecewise meromorphic solutions to
S N Kiyasov, Kiyasov S N
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Russian Mathematics, 2019 © 2019, Allerton Press, Inc. We consider the structure of the set of piecewise meromorphic solutions of a homogeneous linear conjugation problem for a four-dimensional vector.
S N Kiyasov, Kiyasov S N
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Problem of linear conjugation on a circumference
Mathematical Notes, 1987The Riemann problem on the factorization of a matrix function \(r(\lambda)\) on the unit circle is formulated to construct functions \(\phi(\lambda)\) and \(\psi(\lambda)\) which admit a nonsingular analytic continuation such that \(\phi(\lambda)r(\lambda)=\psi(\lambda)\) for \(| \lambda | =1\), \(\phi (0)=1\).
I T Khabibullin, Khabibullin I T
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A method for separation of classes of linear conjugation problems for three-dimensional vector [PDF]
Russian Mathematics, 2015 © 2015, Allerton Press, Inc. We consider structure of the set of piecewise-meromorphic solutions of the homogeneouslinear conjugation problems for three-dimensional vector, and study their relations with a system of two problems of fractional-linear ...
S N Kiyasov, Kiyasov S N
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Russian Mathematics, 2020 © 2020, Allerton Press, Inc. We show that if a three-dimensional linear conjugation problem has two particular solutions with coinciding ratios of boundary values of two their components, then its general solution can be obtained in closed ...
S N Kiyasov, Kiyasov S N
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Contribution to the General Linear Conjugation Problem for A Piecewise Analytic Vector [PDF]
Siberian Mathematical Journal, 2018 © 2018, Pleiades Publishing, Ltd. Establishing an analogy between the theories of Riemann–Hilbert vector problem and linear ODEs, for the n-dimensional homogeneous linear conjugation problem on a simple smooth closed contour Γ partitioning the complex ...
S N Kiyasov, Kiyasov S N
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IEEE Transactions on Information Theory, 1969
Aspects of optimum filtering for complex valued random processes are presented. Ordinary linear filters are complemented with conjugate linear filters. It is found that the incorporation of conjugate linear filtering improves signal-to-noise ratio by a factor of two in matched filter receivers.
William M. Brown, Robert B. Crane
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Aspects of optimum filtering for complex valued random processes are presented. Ordinary linear filters are complemented with conjugate linear filters. It is found that the incorporation of conjugate linear filtering improves signal-to-noise ratio by a factor of two in matched filter receivers.
William M. Brown, Robert B. Crane
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Linear Convergence of the Conjugate Gradient Method
IBM Journal of Research and Development, 1972There are two procedures for applying the method of conjugate gradients to the problem of minimizing a convex, nonlinear function: the "continued" method, and the "restarted" method in which all the data except the best previous point are discarded, and the procedure is begun a new from that point.
Crowder, Harlan, Wolfe, Philip
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Conjugate Phase Portraits of Linear Systems
The American Mathematical Monthly, 2008(2008). Conjugate Phase Portraits of Linear Systems. The American Mathematical Monthly: Vol. 115, No. 7, pp. 596-614.
Patrick D. McSwiggen, Kenneth R. Meyer
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Method for solving a linear conjugation problem for two-dimensional vector with a given special solution [PDF]
Russian Mathematics, 2016 © 2016, Allerton Press, Inc.We offer a method for building a canonical system of solutions of a linear conjugation problem for two-dimensional vector in the case where one of its solution is ...
S N Kiyasov, Kiyasov S N
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