A review of infinite matrices and their applications
DOI10.1016/j.laa.2008.09.032zbMath1168.15023OpenAlexW1983086303MaRDI QIDQ999781
K. C. Sivakumar, Pappur N. Shivakumar
Publication date: 10 February 2009
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2008.09.032
error estimateseigenvaluesconformal mappingLaplacian eigenvaluesgeneralized inversessemi-infinite linear programmingiterationsinfinite matricestruncationstridiagonalBessel differential equationviscous fluid flowcomplexity metric diagonal dominancefinite matricesMathieu differential equationnon-deterministic digraphnon-deterministic matrixsign distributions
Theory of matrix inversion and generalized inverses (15A09) General topics in linear spectral theory for PDEs (35P05) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Research exposition (monographs, survey articles) pertaining to linear algebra (15-02)
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Cites Work
- Flow past and through a porous medium in a doubly connected region
- Eigenvalues for infinite matrices
- Generalized inverses of an invertible infinite matrix over a finite field
- Eigenvalues of the Laplacian on an elliptic domain
- A finite difference method for a class of two-point boundary value problems over a semi-infinite range
- An iterative method with truncation for infinite linear systems
- A lower bound for the smallest singular value of a matrix
- On the double points of a Mathieu equation
- On the nonsingularity of matrices with certain sign patterns
- Generalized inverses. Theory and applications.
- Explicit solvability of dual pairs of infinite linear programs.
- A history of infinite matrices: a study of denumerably infinite linear systems as the first step in the history of operators defined on function spaces
- Linear equations in infinite matrices
- Upper and lower bounds for inverse elements of finite and infinite tridiagonal matrices
- Semi-Infinite Programming: Theory, Methods, and Applications
- On Some Conditions for Nonvanishing of Determinants
- Moore–Penrose inverse of an invertible infinite matrix
- Error Bounds for the Truncation of Infinite Linear Differential Systems
- Inequalities for the minimal eigenvalue of the laplacian in an annulus
- An Analysis of Groundwater Flow in an Infinite Region with a Sinusoidal Top*
- Applications of generalized inverses to interval linear programs in hilbert spaces
- On Two-Sided Bounds Related to Weakly Diagonally Dominant M-Matrices with Application to Digital Circuit Dynamics
- Generalized inverses of an invertible infinite matrix
- An Explicit Solution of a Special Class of Linear Programming Problems
- Viscous flow in pipes whose cross-sections are doubly connected regions
- A Sufficient Condition for Nonvanishing of Determinants
- A Recurring Theorem on Determinants
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