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Displaying 121 – 140 of 153

On the reduction of a random basis

Ali Akhavi, Jean-François Marckert, Alain Rouault (2009)

ESAIM: Probability and Statistics

For p ≤ n, let b1(n),...,bp(n) be independent random vectors in $ℝ^{n}$ with the same distribution invariant by rotation and without mass at the origin. Almost surely these vectors form a basis for the Euclidean lattice they generate. The topic of this paper is the property of reduction of this random basis in the sense of Lenstra-Lenstra-Lovász (LLL). If ${\hat{b}}_{1}^{(n)}, ..., {\hat{b}}_{p}^{(n)}$ is the basis obtained from b1(n),...,bp(n) by Gram-Schmidt orthogonalization, the quality of the reduction depends upon the sequence of ratios...

On the relation between the AINV and the FAPINV algorithms.

Salkuyeh, Davod Khojasteh, Roohani, Hadi (2009)

International Journal of Mathematics and Mathematical Sciences

On the set of weighted least squares solutions of systems of convex inequalities

Alfredo Noel Iusem, Álvaro Rodolfo De Pierro (1984)

Commentationes Mathematicae Universitatis Carolinae

On the Sharpness of Some Upper Bounds for the Spectral Radii of S.O.R. Iteration Matrices.

R.S. Varga, M. Neumann (1980)

Numerische Mathematik

On the shifted QR iteration applied to companion matrices.

Bini, Dario A., Daddi, Francesco, Gemignani, Luca (2004)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

On the singular two-parameter eigenvalue problem.

Muhic, Andrej, Plestenjak, Bor (2009)

ELA. The Electronic Journal of Linear Algebra [electronic only]

On the solution of Cauchy systems of equations.

Calvetti, D., Reichel, L. (1996)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

On the solution of multiparameter problems of algebra. IV: The $A B$ algorithm and its applications.

Kublanovskaya, V.N. (2004)

Zapiski Nauchnykh Seminarov POMI

On the solution of multiparameter problems of algebra. V: The $\nabla V$ - $q$ factorization algorithm and its applications.

Kublanovskaya, V.N. (2004)

Zapiski Nauchnykh Seminarov POMI

On the Solution of Singular Linear Systems of Algebraic Equations by Semiiterative Methods.

W. Niethammer, M. Eiermann, I. Marek (1988)

Numerische Mathematik

On the Stability of Finite Numerical Procedures.

W. Miller (1972)

Numerische Mathematik

On the subspace projected approximate matrix method

Jan Brandts, Ricardo Reis da Silva (2015)

Applications of Mathematics

We provide a comparative study of the Subspace Projected Approximate Matrix method, abbreviated SPAM, which is a fairly recent iterative method of computing a few eigenvalues of a Hermitian matrix $A$ . It falls in the category of inner-outer iteration methods and aims to reduce the costs of matrix-vector products with $A$ within its inner iteration. This is done by choosing an approximation $A_{0}$ of $A$ , and then, based on both $A$ and $A_{0}$ , to define a sequence ${(A_{k})}_{k = 0}^{n}$ of matrices that increasingly better approximate...

One-sided simultaneous inequalities and sandwich theorems for diagonal similarity and diagonal equivalence of nonnegative matrices.

Hershkowitz, Daniel, Schneider, Hans (2003)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Currently displaying 121 – 140 of 153

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Displaying 121 – 140 of 153

On the reduction of a random basis

On the relation between the AINV and the FAPINV algorithms.

On the set of weighted least squares solutions of systems of convex inequalities

On the Sharpness of Some Upper Bounds for the Spectral Radii of S.O.R. Iteration Matrices.

On the shifted QR iteration applied to companion matrices.

On the singular two-parameter eigenvalue problem.

On the solution of Cauchy systems of equations.

On the solution of multiparameter problems of algebra. IV: The $A B$ algorithm and its applications.

On the solution of multiparameter problems of algebra. V: The $\nabla V$ - $q$ factorization algorithm and its applications.

On the Solution of Singular Linear Systems of Algebraic Equations by Semiiterative Methods.

On the Stability of Finite Numerical Procedures.

On the subspace projected approximate matrix method

On the trace characterization of the joint spectral radius.

On the use of larger bulges in the QR algorithm.

On the worst-case convergence of MR and CG for symmetric positive definite tridiagonal Toeplitz matrices.

On theoretical and practical acceleration of randomized computation of the determinant of an integer matrix.

On Transformations of Graded Matrices, with Applications to Stiff ODE's.

On Updating Triangular Products of Householder Reflections.

On worst-case GMRES, ideal GMRES, and the polynomial numerical hull of a Jordan block.

One-sided simultaneous inequalities and sandwich theorems for diagonal similarity and diagonal equivalence of nonnegative matrices.

Currently displaying 121 – 140 of 153