Singular linear systems
A QMR Type Algorithm for Drazin Inverse Solution of Singular Nonsymmetric Linear Systems
... for singular systems which is analogues to GMRES for non-singular ...non-singular systems, is a fast algorithm, but when we need a high accuracy, the algo- rithm is ...for ...
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Systems of singular differential equations with pulse action
... economics, linear programming and others can be modeled by systems of differ- ential equations with a singular ...Such systems, which are the so-called singular or differential-algebraic ...
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On Shift-splitting Based C-to-R Method for Singular Complex Linear Systems
... is singular. For solving the non- Hermitian singular linear equations ...for singular linear systems in [ 25 ] , [ 19 ] , [ 24 ] ...
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Existence and Nonexistence of Positive Solutions for Singular -Laplacian Equation in
... For a, λ / 0, the existence and multiplicity of solution of singular elliptic equation like 1.1 in a bounded domain Ω with the zero Dirichlet data have been widely studied by many authors, for example, the authors ...
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Singular constrained linear systems
... the linear system Ax = b the points x are sometimes constrained to lie in a given subspace S of column space of ...any singular or nonsingular matrix, exist and is ...the singular consistent or ...
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Defect indices of singular symmetric linear difference equations with complex coefficients
... RESEARCH Open Access Defect indices of singular symmetric linear difference equations with complex coefficients Guojing Ren Correspondence rgjmaths@gmail com School of Mathematics and Quantitative Eco[.] ...
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On stability and state feedback stabilization of singular linear matrix difference equations
... of singular linear matrix difference equations whose coefficients are square constant matrices and the leading coefficient matrix is ...homogeneous singular linear discrete time system and we ...
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The Equivalence of linear systems
... We show that two R-realisations of a K-matrix, where K is the field of fractions of the principal ideal domain R , are strictly system equivalent if and only if they are locally system e[r] ...
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Singular Hopf Bifurcations in DAE Models of Power Systems
... power systems, it is important to study the changes of stability of those systems to better understand their dy- namical ...power systems has been analyzed in ...
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The efficiency comparisons between OLSE and BLUE in a singular linear model
... 16. Chu, K, Isotalo, J, Puntanen, S, Styan, GPH: The efficiency factorization multiplier for the Watson efficiency in partitioned linear models: some examples and a literature review. J. Stat. Plan. Inference 137, ...
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A Galerkin method of O(h2) for singular boundary value problems
... p is an increasing function on (0,1). The linear case with more general settings was considered in [2] and a nonlinear case was considered in [3]. The special case consid- ered here requires a different approach to ...
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On Singular Solutions of Linear Functional Differential Equations with Negative Coefficients
... the singular Cauchy problem ...and singular Cauchy problems for various classes of functional differential equations are treated, in particular, in 2–11; a problem on regular solutions possessing properties ...
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A Singular Values Based Newton Method for Linear Complementarity Problems
... the linear com- plementarity problems is obtained by the relationship between penalized equations and an abso- lute value ...the linear complementarity problems is ...its singular values exceeds 0; ...
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Unimodular Transformations and Canonical Forms for Singular Systems
... 2 Remark 8. The above theorem can be stated the reverse way, i.e. starting from the r.s.e. transformations relating two systems of the form (6), we can obtain the unimodular matrix U (s) according to (17) and (12) ...
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On a System of Linear Singular Partial Differential Equations with Weight Functions
... In [3], Koike considered a Voleviˇ c system of singular nonlinear partial differential equa- tions with general singularity. He established the existence and uniqueness theorem of the solution in the ...
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On the uniqueness of singular solutions to boundary initial value problems in linear elastodynamics
... Working within the framework of the linearized dynamical theory of thermoelasticity, Dafermos [9 J established the existence, uniqueness and asymptotic stability of "generalized solution[r] ...
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Singular Optimal Control Problem of Stochastic Switching Systems
... called singular and corresponding controls are s singular ...of singular switching ...on linear quadratic stochastic optimal control ...
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Hybrid Reduced Order Modeling Algorithms for Reactor Physics Calculations.
... POD has been widely used in various fields (e.g. fluid mechanics, image processing, electrical circuit, pattern recognition, control, inverse problems) and extended by many authors. For example, Astrid et al. (2008) ...
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Image Compression Using Singular Value Decomposition
... of singular values). Through this image compression using Singular value decomposition, we can reduce the size of the image without the loss of clarity and can save ...
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Nontrivial solutions of second-order singular Dirichlet systems
... To prove our main results, we shall apply the following two well-known results. Lemma . ([]) Assume that is an open subset of a convex set K in a normed linear space X and p ∈ . Let T : → K be a compact ...
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