Partial convergence and sign convergence of matrix powers via eigen c-ads.
Partitioned Matrices and Seidel Convergence.
Partitioning inverse Monte Carlo iterative algorithm for finding the three smallest eigenpairs of generalized eigenvalue problem.
Pentadiagonal Companion Matrices
The class of sparse companion matrices was recently characterized in terms of unit Hessenberg matrices. We determine which sparse companion matrices have the lowest bandwidth, that is, we characterize which sparse companion matrices are permutationally similar to a pentadiagonal matrix and describe how to find the permutation involved. In the process, we determine which of the Fiedler companion matrices are permutationally similar to a pentadiagonal matrix. We also describe how to find a Fiedler...
Performance of parallel QR factorization methods on the NVIDIA Grace CPU Superchip
This article studies several algorithms for QR factorization based on hierarchical Householder reflectors organized into elimination trees, which are particularly suited for tall-and-skinny matrices and allow parallelization. We examine the effect of various parameters on the performance of the tree-based algorithms. The work is accompanied with a custom implementation that utilizes a task-based runtime system (OpenMP or StarPU). The same algorithm is implemented in the PLASMA library. The performance...
Periodické distribuce a diskrétní Fourierova transformace
Perturbation analysis for eigenstructure assignment of linear multi-input systems.
Perturbation d'une matrice hermitienne ou normale.
Perturbation of parallel asynchronous linear iterations by floating point errors.
Perturbation results for nearly uncoupled Markov chains with applications to iterative methods.
Perturbation theorems for the matrix eigenvalue problem
Perturbations singulières des problèmes de point selle et préconditionnement du problème de Stokes
Piecewise bilinear preconditioning of high-order finite element method.
Pivoting algorithm in class of ABS methods
Summary: The paper deals with a pivoting modification of the algorithm in the class of ABS methods. Numerical experiments compare this pivoting modification with the fundamental version. A hybrid algorithm for the solution of the linear system with the Hankel matrix is introduced.
Pivoting Techniques for Symmetrie Gaussian Elimination.
Polynomial eigenvalue problems with Hamiltonian structure.
Polynomial operations: Numerical performance in matrix diophantine equation
Polynomials of the eigenvalues and powers of matrices
Positive definite solution of two kinds of nonlinear matrix equations.
Poznámka ke kontrole řešení soustavy lineárních algebraických rovnic zpětnou substitucí