Results 101 to 110 of about 24,845 (203)
Journal of MathematicsIn this paper, the additive half-quadratic image restoration problem with zero boundary conditions is investigated. The Newton method is used to solve this problem and a structured linear system needs solving at each step.
Chaojie Wang +3 more
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What are Schur complements, anyway?
Linear Algebra and its Applications, 1986 This paper treats the Schur complement of a partitioned matrix whose use goes back more than 130 years. It shows how several modern manifestations of this concept can be viewed in a unified way. Classically, Schur complements can be used to determine the rank of partitioned matrices.
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HIL modeling of systems using the multipole filter
Омский научный вестникThe article proposes an interface (multipole filter) that provides stability of the semi-natural modelling of the initial systems when the fragments of the system are represented by N-poles connected with each other by high intensity loopback (HIL).Thus,
M. N. Maksimov, S. M. Maksimova
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Ranks of a Constrained Hermitian Matrix Expression with Applications
Journal of Applied Mathematics, 2013 We establish the formulas of the maximal and minimal ranks of the quaternion Hermitian matrix expression C4−A4XA4∗ where X is a Hermitian solution to quaternion matrix equations A1X=C1, XB1=C2, and A3XA3*=C3.
Shao-Wen Yu
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Oblique projections and Schur complements
, 2000 Fil: Maestripieri, Alejandra Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina.
Corach, Gustavo +2 more
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Two Preconditioners for Time-Harmonic Eddy-Current Optimal Control Problems
MathematicsIn this paper, we consider the numerical solution of a large complex linear system with a saddle-point form obtained by the discretization of the time-harmonic eddy-current optimal control problem.
Xin-Hui Shao, Jian-Rong Dong
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On the Minimal Polynomials and the Inverses of Multilevel Scaled Factor Circulant Matrices
Abstract and Applied Analysis, 2014 Circulant matrices have important applications in solving various differential equations. The level-k scaled factor circulant matrix over any field is introduced.
Zhaolin Jiang
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Introduction of Sample Based Prior into the D-Bar Method Through a Schur Complement Property. [PDF]
IEEE Trans Med Imaging, 2020 Santos TBR +4 more
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Remarks on the Schur complement
Linear Algebra and its Applications, 1981 AbstractFirst, a generalization of the Schur determinantal formula is given. Using properties of quasidirect sums of matrices, a new characterization of the Schur complement is proved.
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Improved New Block Preconditioner for Solving 3 × 3 Block Saddle Point Problems
AxiomsIn order to overcome the computational challenges associated with block preconditioners for Krylov subspace methods, particularly those arising from Schur complement systems, this paper proposes an improved new block (INB) preconditioner for solving 3 ...
Xin-Hui Shao, Xin-Yang Liu
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