Results 241 to 250 of about 518,086 (284)

Spectral problems for matrix pencils. Methods and algorithms. III.

Russian Journal of Numerical Analysis and Mathematical Modelling, 1989
Summary: This is the sequel to the papers by V. B. Khazanov and V.N. Kublanovskaya `Spectral problems for matrix pencils. Methods and algorithms. I and II'. \noindent \([\)Part \ I, cf. ibid. 3, No. 5, 337-371 (1988)\(]\). \noindent \([\)Part II, cf. ibid. 3, No. 6, 467-485 (1988)\(]\).
Belyj, V. A., Khazanov, V. B., Kublanovskaya, V. N.   +2 more
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Reduced AKNS Spectral Problems and Associated Complex Matrix Integrable Models

Acta Applicandae Mathematicae, 2023
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Local inverse spectral problems for rational matrix functions

Integral Equations and Operator Theory, 1987
Given a regular rational matrix function A(z) we describe the set of vector-valued functions g(z) of the form \(g(z)=A(z)f(z)\) for a vector- valued function f(z) which is analytic at a prescribed point \(z_ 0\). In the scalar case, the solution is quite simple, involving the order of the pole or zero of A(z) at \(z_ 0\). The matrix case is complicated
Ball, Joseph A., Ran, André C. M.
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Solving a nonlinear spectral problem for a matrix

Journal of Soviet Mathematics, 1980
This paper examines the solving of the eigenvalue problem for a matrix M (λ) with a nonlinear occurrence of the spectral parameter. Two methods are suggested for replacing the equation dat M(λ)=0 by a scalar equationf(λ)=0. Here the functionf(λ) is not written formally, but a rule for computingf(λ) at a fixed point of the domain in which the desired ...
Kon'kova, T. Ya., Kublanovskaya, V. N., Savinova, L. T.   +2 more
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Spectral problem for polynomial matrix pencils. 2

Journal of Soviet Mathematics, 1984
For an arbitrary polynomial pencil of matrices Ai of dimensions m×n one presents an algorithm for the computation of the eigenvalues of the regular kernel of the pencil. The algorithm allows to construct a regular pencil having the same eigenvalues as the regular kernel of the initial pencil or (in the case of a dead end termination) allows to pass ...
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The nonabelian Toda lattice: Discrete analogue of the matrix Schrödinger spectral problem

Journal of Mathematical Physics, 1980
We investigate the discrete analog of the matrix Schrödinger spectral problem and derive the simplest nonlinear differential-difference equation associated to such problem solvable by the inverse spectral transform. We also display the one and two soliton solution for this equation and tersely discuss their main features.
BRUSCHI M, MANAKOV SV, RAGNISCO, Orlando, LEVI, Decio   +3 more
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Matrix Spectral Problems and Integrability Aspects of the Błaszak-Marciniak Lattice Equations

Reports on Mathematical Physics, 2020
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Wang, Deng-Shan, Li, Qian, Wen, Xiao-Yong, Liu, Ling   +3 more
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Nonlinear evolution equations connected with the matrix Schrodinger spectral problem

Journal of Physics A: Mathematical and General, 1992
Summary: In this paper, a generalized \(2\times2\) Schrödinger spectral problem and \(N\times N\) reduced matrix Schrödinger spectral problem are considered. The corresponding hierarchies of nonlinear evolution equations are derived.
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Inverse Spectral Problems for Regular Improper Rational Matrix Functions

1988
We consider the problem of constructing a regular rational n × n matrix function W(z) = C(zI - A) -1B + D + zE(I - zG)-1F such that WR n + = W1R n + and WR n - = W2R n - . Here R n + (respectively R n - ) is the space of rational ℂn-valued functions analytic inside (respectively outside) a smooth closed con our in the complex plane, and realizations Wj(
Joseph A. Ball, Nir Cohen, André C. M. Ran   +2 more
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Methods for solving spectral problems for multiparameter matrix pencils

Journal of Mathematical Sciences, 2005
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