Keywords: 15A09; 15A06; 15A04; Vector space; Generalized inverse; Finite potent endomorphism; Infinite linear system;
مقالات ISI (ترجمه نشده)
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Keywords: 15A06; 15A04; Ray pattern; Ray nonsingular; Uniform distribution; Cycle tree matrix; Digraph;
Keywords: 15A06; 15A80; 65G30; Max-plus linear equations; Interval system; Strong solvability; Interval strong solution; Polynomial algorithm;
Keywords: 65F10; 65F15; 15A06; 15A18; Shifted linear system; Hessenberg process; Pivoting strategy; Restarted Hessenberg method; Collinear; Fractional differential equations;
Keywords: 05A15; 05A05; 11B39; 11B73; 15B36; 15A06; 05A19; 11B83; Double Riordan arrays; Riordan group; Generating function; Succession rule; A-sequence; Z-sequence; High order Riordan arrays; Quasi-Riordan arrays;
Keywords: 05B10; 11T22; 11T24; 15A06; Power residues; Difference sets; Qualified difference sets; Jacobi sums; Cyclotomic numbers;
Keywords: Distortion; Encoding/decoding maps; Dilatation; Extension; Upper-triangular kinematics; 15A06; 65F05; 74A05; 74A10; 74A15; 74A20;
Keywords: 15A06; 15A52; 15A12; 65F05; 65F35; Gaussian elimination; Pivoting; Block Gaussian elimination; Preconditioning; Random matrix algorithms; Linear systems of equations;
Keywords: Generalized Cauchy tensor; SOS tensor; Hankel tensor; Positive semi-definiteness; H-eigenvalue90C30; 15A06
Keywords: 05A15; 05A05; 11B39; 11B73; 15B36; 15A06; 05A19; 11B83Riordan arrays; Riordan group; Appell subgroup; Associate subgroup; Bell subgroup; Derivative subgroup; Checkerboard subgroup; Hitting-time subgroup; Girard–Waring type identities; Row sum functions an
Keywords: 15A06; 15A45; 65F05; 65G30Symmetric solution set; Persymmetric solution set; Skew-symmetric solution set; Perskew-symmetric solution set; Beeck criterion; Hartfiel inequalities; Oettli–Prager inequality; Interval analysis
Keywords: 15A06; 65F10Saddle point problems; Parameter acceleration methods; Momentum acceleration; Semi-iterative methods; Convergence
Keywords: 15A06; 65G40Quadratic programming; Interval systems; Optimal value range; Duality gap
Keywords: 65F05; 15A06; 15A12; Symmetric indefinite matrices; Matrix factorization; Bunch-Kaufman; Bunch-Parlett;
Keywords: 05A15; 05A05; 11B39; 11B73; 15B36; 15A06; 05A19; 11B83Riordan group; Generating function; Stieltjes matrix; Succession rule; Production matrix; A-matrix; Fundamental theorem of Riordan arrays; Stirling numbers of the second kind
Keywords: 15A04; 15A06; 15A09; 47A65; 65D05; 65F05; 68Q25Transformations of matrix structures; Vandermonde matrices; Cauchy matrices; Multipole method; HSS matrices; Toeplitz matrices
Keywords: 16Y60; 15A06; Tropical algebra; Weak residuation; Semimodule; Equations; Kleene closure;
Keywords: 05A15; 15A06; 15A15; Rises; Weak-rises; Levels; Descents; Weak-descents; Generating functions; Cramer's method;
Keywords: 90C26; 90C25; 90C59; 15A06; 15A48Continuous Lyapunov equation; Discrete Lyapunov equation; Lowest-rank solution; Symmetric cone; Polynomial-time solvability
Keywords: 05A18; 05A15; 15A06; 15A09; Set partition; Parity succession; Tridiagonal matrix; Generating function;
Keywords: 65F05; 65F35; 15A06; 15A52; 15A12Randomized matrix algorithms; Gaussian random matrices; Singular subspaces of a matrix; Duality; Derandomization; Sparse and structured preprocessors
Cryptanalysis of Matrix-based UOV
Keywords: 94A60; 13P15; 15A06; Equivalent key; Extended isomorphism of polynomials problem; Multivariate quadratic public-key cryptography; UOV;
On convergence rate of the randomized Kaczmarz method
Keywords: 65F10; 65F20; 65K05; 90C25; 15A06; CR:G1.3; System of linear equations; Randomized Kaczmarz method; Convergence rate;
DGMRES and index numerical range of matrices
Keywords: 15A06; 65F10; 15A60; Index numerical range; Index polynomial numerical hull; Drazin-inverse; DGMRES method;
On the convergence rate of DGMRES
Keywords: 65F10; 65F20; 15A06; Drazin inverse; DGMRES; GMRES; Singular systems; Ritz values;
Parameterized outer estimation of AE-solution sets to parametric interval linear systems
Keywords: Linear equations; Dependent interval parameters; AE-solution set; Outer estimation; 65G40; 15A06;
Farkas-type conditions of general interval linear systems for AE solvability
Keywords: 15A06; 65G40; General interval linear systems; Farkas-type condition; AE solvability;
Global LSMR(Gl-LSMR) method for solving general linear systems with several right-hand sides
Keywords: 15A06; 65F10; 65F20; LSMR method; Bidiagonalization; Global methods; Iterative methods; Multiple right-hand sides;
A fast and reliable numerical solver for general bordered k-tridiagonal matrix linear equations
Keywords: 15A06; 15A23; 15B99; 65F99; Accuracy; Bordered k-tridiagonal matrix; Givens rotation; Matrix linear equation;
Fuss-Catalan matrices, their weighted sums, and stabilizer subgroups of the Riordan group
Keywords: 05A15; 05A05; 15B36; 15A06; 05A19; 11B83; Riordan group; Generating function; Fundamental theorem of Riordan arrays; Catalan numbers; Fuss-Catalan numbers; Fuss-Catalan matrices; Stabilizer;
Lower triangular Toeplitz–Ramanujan systems whose solution yields the Bernoulli numbers
Keywords: 11B68; 11Y55; 15A06; 15A09; 15A24; 15B05; 15B99; 65F05Bernoulli numbers; Triangular Toeplitz matrices
Shift operators defined in the Riordan group and their applications
Keywords: 05A15; 05A05; 15B36; 15A06; 05A19; 11B83Riordan arrays; Riordan group; Generating function; Shift matrices; Production matrix; Bell subgroup; Chu–Vandermonde identity; Format Last Theorem; Beal Conjecture; Riordan involutions; Riordan pseudo-involutions
Q-less QR decomposition in inner product spaces
Keywords: 15A06; 15A24; 15A30; 15A69; 15A72; 65F10; 65N22Column pivoting; Gram–Schmidt orthogonalization; Kronecker product; Large-scale problem; Linear equation; Low-rank representation; Multilinear algebra; QR decomposition; Tensor; Truncation
Equivalence of QN–LS and BQN–LS for affine problems
Keywords: 90C53; 15A06; 65F10; 74F10Quasi-Newton method; Iterative method; Least squares
On the Farkas lemma and the Horn-Tarski measure-extension theorem
Keywords: 15A06; 06E99; 28A60; Non-negative solutions of systems of linear equations; The Farkas lemma; Measure extension; State on a Boolean algebra; The Horn-Tarski criterion;
Ray nonsingularity of cycle tree matrices
Keywords: 15A06; 15A04; Ray pattern; Ray nonsingular; Sign; Cycle tree matrix; Digraph;
Further remarks on multivariate polynomial matrix factorizations
Keywords: 15A23; 15A06; 13P05; 13P10Multivariate polynomial matrices; Matrix factorizations; MLP Lemma
Extremals of the supereigenvector cone in max algebra: A combinatorial description
Keywords: 15A80; 15A06; 15A18; Eigenvectors; Eigenvalues; Max-plus; Max algebra; Digraph;
Maximal inner boxes in parametric AE-solution sets with linear shape
Keywords: Linear equations; Dependent interval parameters; Tolerable solution set; AE-solution set; Inner estimation65G40; 15A06
The conservative system of N atoms coupled with one photon
Keywords: 11C20; 11D72; 15A06; 15A09; 44A10; 45A05; 45F05; 45F15; Many-body solution; Weisskopf-Wigner; Markovian; Collective; Absorption;
Random multipliers numerically stabilize Gaussian and block Gaussian elimination: Proofs and an extension to low-rank approximation
Keywords: 15A52; 15A12; 15A06; 65F22; 65F05; Random matrices; Random multipliers; Gaussian elimination; Pivoting; Block Gaussian elimination; Low-rank approximation; SRFT matrices; Random circulant matrices;
Complete stagnation of GMRES for normal matrices
Keywords: 65F10; 15A06; 15A60; GMRES; Complete stagnation; Polynomial numerical hull; Normal matrices;
Componentwise enclosure for solutions of least squares problems and underdetermined systems
Keywords: 15A06; 15A09; 65F20; 65G20; 65G50Least squares problems; Underdetermined systems; Minimal 2-norm solution; Numerical enclosure; Verified error bound; Componentwise estimation
New results on multivariate polynomial matrix factorizations
Keywords: 15A23; 15A06; 13P05; 13P10; Polynomial ring; Multivariate polynomial matrices; Lin-Bose problem; Bivariate matrix factorizations;
A forbidden structure of ray nonsingular matrices
Keywords: 15A06; 15A04; Ray pattern; Ray nonsingular; Forbidden subgraph; Cycle chain matrix; Digraph;
Efficient numerical solution of the generalized Dirichlet–Neumann map for linear elliptic PDEs in regular polygon domains
Keywords: 15A06; 15A90; 15A57; 65F05; 65F10; 65N35; 15A57; 35J25Elliptic PDEs; Dirichlet–Neumann map; Global Relation; Collocation; Block circulant matrices; Fast Fourier Transform (FFT)
On the generalized reflexive and anti-reflexive solutions to a system of matrix equations
Keywords: 15A06; 15A24; 65F15; 65F20Generalized reflexive matrix; Generalized anti-reflexive matrix; Iterative algorithm; System of matrix equations
Solving balanced Procrustes problem with some constraints by eigenvalue decomposition
Keywords: 15A06; 15A24; 65F30Balanced Procrustes problem; Symmetric orthogonality; Symmetric idempotence; Eigenvalue decomposition; Matrix product
A system of real quaternion matrix equations with applications
Keywords: 15A06; 15A24; 15A33; 15A57; 15A09
On regular and singular interval systems
Keywords: 15A06; 65G20; 65G30; 65G40Interval linear system; Solution set; Interval Gaussian algorithm; Interval Cholesky method; Total step method; Singular interval linear system