scientific article

zbMath0613.15003MaRDI QIDQ3754112

Lothar Berg

Publication date: 1986

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

finite element methodcondition numberGauss eliminationasymptotic behaviouradjacency matrixcontinued fractionsgeneralized inversesreorderingcirculantsToeplitzmaximal and minimal solutionsblock decompositionasymptotic approximationsstability polynomialJordaninfinite band matricesboundary value problems for linear difference equationsgraph theoretic algorithmlarge and infinite banded linear systems of equationsStufenzerlegungTikhonov's method of regularisationunstable banded systems

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Theory of matrix inversion and generalized inverses (15A09) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Matrix equations and identities (15A24) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Stability and convergence of numerical methods for ordinary differential equations (65L20) Additive difference equations (39A10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06) Convergence and divergence of continued fractions (40A15) Conditioning of matrices (15A12) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Research exposition (monographs, survey articles) pertaining to linear algebra (15-02)

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Exact reconstruction of sparse non-harmonic signals from their Fourier coefficients

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