Keywords: مکمل شوور; Model order reduction; Krylov subspace; Schur complement;
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Keywords: مکمل شوور; Block matrices; Large matrices; Schur complement; Recursive matrix inversion; Low memory usage;
Keywords: مکمل شوور; 15B57; 15A15; 15A03; Quasi principal rank characteristic sequence; Enhanced principal rank characteristic sequence; Minor; Rank; Symmetric matrix; Schur complement;
Keywords: مکمل شوور; Finite element method; Moore-Penrose continuation method; Schur complement; Mesh adaptation; Algorithm; Bifurcations;
Keywords: مکمل شوور; 05C50; 05B20; 05C22; 15A09; 15A18; 15B36; Integrally invertible graph; Positively and negatively invertible graphs; Bridged graph; Schur complement; Spectral estimates;
Keywords: مکمل شوور; Essential spectrum; Singular matrix differential operator; Schur complement; Fredholm operator; Approximate inverse; Pseudo-differential operator; Douglis-Nirenberg ellipticity;
Keywords: مکمل شوور; Shear bands; Preconditioner; Multiphysics; Schur complement; Domain Decomposition; Parallel scalability;
Keywords: مکمل شوور; 15B48Totally nonnegative matrix; Perron complement; Extended Perron complement; Schur complement
Keywords: مکمل شوور; PDE-constrained optimization; Time-dependent Stokes control; Preconditioning; Saddle point system; Schur complement; Commutator argument;
Keywords: مکمل شوور; PDE-constrained optimization; Reaction–diffusion; Pattern formation; Newton iteration; Preconditioning; Schur complement
Keywords: مکمل شوور; 15A15; 15A03; 15B57; 05C50; Principal rank characteristic sequence; Enhanced principal rank characteristic sequence; Minor; Rank; Symmetric matrix; Hermitian matrix; Schur complement;
Keywords: مکمل شوور; Fractional calculus; Iterative solvers; Sylvester equations; Preconditioning; Low-rank methods; Tensor equations; Schur complement
Keywords: مکمل شوور; 47A10; 34L05; 47A55; 76E99Essential spectrum; System of singular differential equations; Operator matrix; Schur complement; Magnetohydrodynamics; Stellar equilibrium model
Keywords: مکمل شوور; Schur complement; Finite elements; Fluid–structure interaction; Outflow boundary conditions; Stabilized formulation; GMRES
Keywords: مکمل شوور; Eigenvalue localization; Gaussian elimination; Neville elimination; Schur complement
Keywords: مکمل شوور; Schur complement; Domain decomposition; Water distribution systems;
Keywords: مکمل شوور; Preconditioning; Stokes equations; Staggered grid; LBB constant; Schur complement;
Keywords: مکمل شوور; 15A42; 15A09; 15A45; 15B48Minimal eigenvalue; Totally positive matrices; Hadamard product; Schur complement; Jacobi matrices
Keywords: مکمل شوور; Schur complement; Block-Toeplitz matrix; Preconditioners
Keywords: مکمل شوور; Kirchhoff index; Resistance distance; Corona; Edge corona; Laplacian polynomial; Schur complement
Keywords: مکمل شوور; 15A45; 47A63Brunn–Minkowski inequality; Determinantal inequality; Sector; Numerical range; Schur complement
Inversion and pseudoinversion of block arrowhead matrices
Keywords: مکمل شوور; Block arrowhead matrix; Matrix inverse; Moore-Penrose inverse; Symbolic computation; Schur complement; 15A09; 65F05;
The Nekrasov diagonally dominant degree on the Schur complement of Nekrasov matrices and its applications
Keywords: مکمل شوور; Schur complement; Nekrasov matrices; Diagonally dominant matrix; Bound; Determinant;
Global FOM and GMRES algorithms for a class of complex matrix equations
Keywords: مکمل شوور; 65F10; 65F30; Complex matrix equations; Global FOM; Global GMRES; Generalized global Arnoldi process; Schur complement;
Scalable domain decomposition solvers for stochastic PDEs in high performance computing
Keywords: مکمل شوور; Schur complement; Parallel preconditioner; Balancing domain decomposition by constraints; Dual-primal finite element tearing and interconnect method; Polynomial chaos expansion; Coarse grid;
Generalization of the Sherman-Morrison-Woodbury formula involving the Schur complement
Keywords: مکمل شوور; Sherman-Morrison-Woodbury formula; Moore-Penrose inverse; Schur complement; 15A09; 47A55;
On discrete algebraic Riccati equations: A rank characterization of solutions
Keywords: مکمل شوور; 15A24; 06B99; 34A99; Discrete algebraic Riccati equation; Schur complement; Discrete Lyapunov equation; Non-symmetric algebraic Riccati equation; Difference Riccati equation;
Chi-square mixture representations for the distribution of the scalar Schur complement in a noncentral Wishart matrix
Keywords: مکمل شوور; Schur complement; Wishart distribution; Beta mixture
On common diagonal Lyapunov solutions
Keywords: مکمل شوور; 15A18; 15A45; 15A48; 34D20; 93D05; 93D30Lyapunov equation; Diagonal stability; Diagonal Lyapunov solution; Schur complement; P-matrix; Negative (positive) definite matrix
Parallel preconditioners for monolithic solution of shear bands
Keywords: مکمل شوور; Shear bands; Preconditioner; Multiphysics; Schur complement; Schwarz method; GMRES; Parallel scalability
Deflation-accelerated preconditioning of the Poisson–Neumann Schur problem on long domains with a high-order discontinuous element-based collocation method
Keywords: مکمل شوور; Poisson equation; Spectral element; Deflation; Preconditioning; Schur complement; Domain decomposition
Generalizing block LU factorization: A lower-upper-lower block triangular decomposition with minimal off-diagonal ranks
Keywords: مکمل شوور; 15A23; 15A03; Block matrices; Block triangular decomposition; LU factorization; Rank minimization; Circuit complexity; Schur complement;
Low-rank solvers for unsteady Stokes–Brinkman optimal control problem with random data
Keywords: مکمل شوور; 35R60; 60H15; 60H35; 65N22; 65F10Stochastic Galerkin system; PDE-constrained optimization; Low-rank solution; Tensor methods; Preconditioning; Schur complement
Spectral analysis of coupled PDEs and of their Schur complements via Generalized Locally Toeplitz sequences in 2D
Keywords: مکمل شوور; Coupled systems of PDEs; Schur complement; Toeplitz matrix; GLT sequence; Joint eigenvalue distribution;
The resistance distances of electrical networks based on Laplacian generalized inverse
Keywords: مکمل شوور; Resistance distance; Laplacian matrix; Generalized inverse; Moore–Penrose inverse; Schur complement
Computationally efficient and stable order reduction methods for a large-scale model of MEMS piezoelectric energy harvester
Keywords: مکمل شوور; Model order reduction; Krylov subspace; Schur complement; System-level simulation; Energy harvesting; Piezoelectricity
A Moore-Penrose continuation method based on a Schur complement approach for nonlinear finite element bifurcation problems
Keywords: مکمل شوور; Finite element method; Moore-Penrose continuation method; Schur complement; Bifurcations; Branch following; Buckling;
Preconditioned iterative methods for Navier–Stokes control problems
Keywords: مکمل شوور; PDE-constrained optimization; Navier–Stokes control; Picard iteration; preconditioning; Schur complement
Expressions for the Moore–Penrose inverse of block matrices involving the Schur complement
Keywords: مکمل شوور; 15A09; 15A03; 65F20Moore–Penrose inverse; Block matrix; Schur complement; Bordered matrix
Yet another characterization of solutions of the Algebraic Riccati Equation
Keywords: مکمل شوور; 15A24; 15A45; 06B99; Riccati equation; Invariant subspaces; Schur complement; Lyapunov equation; Lattice;
Formulae for the generalized Drazin inverse of a block matrix in terms of Banachiewicz–Schur forms
Keywords: مکمل شوور; Generalized Drazin inverse; Schur complement; Banachiewicz–Schur form; Block matrix
Robust preconditioners for the high-contrast Stokes equation
Keywords: مکمل شوور; Stokes equation; High-contrast; High-contrast viscosity; Robust preconditioning; Schur complement; Singular perturbation analysis;
On the block norm-P property
Keywords: مکمل شوور; 15A33; 17C20; 17C55Block norm-P property; Cartesian-P property; Uniform nonsingularity property (UNS); Z-transformation; Euclidean Jordan algebra; Principal subtransformation; Schur complement
Algebraic properties of Manin matrices II: q-analogues and integrable systems
Keywords: مکمل شوور; 15B33; 05A19; 05A30; 15A15; 16T20; 17B37; 20G42; 81R50Non-commutative determinant; Quasideterminant; Manin matrix; Jacobi ratio theorem; Newton identities; Cayley–Hamilton theorem; Schur complement; Dodgson condensation; Lax matrix; R-matrix
Several expressions for the generalized Drazin inverse of a block matrix in a Banach algebra
Keywords: مکمل شوور; Generalized Drazin inverse; Schur complement; Block matrix;
More results on generalized Drazin inverse of block matrices in Banach algebras
Keywords: مکمل شوور; 46H05; 47A05; 15A09; Generalized Drazin inverse; Schur complement; Block matrix;
Generalized Helmert-Ledermann orthogonal matrices and rom simulation
Keywords: مکمل شوور; Orthogonal matrix; Helmert matrix; Soules matrix; Cayley transform; Schur complement; Mardia skewness and kurtosis;
The nullity theorem for principal pivot transform
Keywords: مکمل شوور; 05C50; 15A03; 15A09Nullity theorem; Principal pivot transform; Schur complement; Local complementation; Nullity polynomial
Solution to 3-D electromagnetic problems discretized by a hybrid FEM/MOM method
Keywords: مکمل شوور; Finite element method; Method of moments; Computational electromagnetics; Iterative methods; Preconditioning techniques; Schur complement
Information on parameters of interest decreases under transformations
Keywords: مکمل شوور; 62B10; 62F25Binomial detectability model; Confidence region; Fisher information; Observed information; Schur complement