Comparison of Two QUBO Formulations of Approximate Block Diagonalization and Their Performance on the D-Wave Advantage Quantum Annealing Machine [DOI][Othres link]
Discrete Lotka–Volterra systems with time delay and its stability analysis [DOI]
Convergence analysis of the generalized Newton shift for computing singular values with the dqds algorithm [DOI][Othres link][Othres link]
q-discretization of the Kostant–Toda equation and its asymptotic analysis [DOI][Othres link]
A Cholesky QR type algorithm for computing tall-skinny QR factorization with column pivoting [DOI][Othres link]
A fast and efficient computation method for reflective diffraction simulations [DOI]
Approximate Block Diagonalization of Symmetric Matrices Using Quantum Annealing [DOI][Othres link]
Roundoff error analysis of the double-exponential formula-based method for the matrix sign function [DOI][Othres link]
Box and ball system with numbered boxes and balls
Automatic performance tuning using the ATMathCoreLib tool: Two experimental studies related to dense symmetric eigensolvers [DOI][Othres link]
Automatic Code Selection for the Dense Symmetric Generalized Eigenvalue Problem Using ATMathCoreLib [DOI][Othres link]
Discrete relativistic Toda equation from the perspective of shifted transformation
Convergence to Singular Triplets in the Two-Sided Block-Jacobi SVD Algorithm with Dynamic Ordering
Discrete hungry integrable systems — 40 years from the Physica D paper by W.W. Symes
Box and Ball System with Numbered Boxes
Error analysis of the truncated Taylor series expansion method for computing matrix exponential [DOI][Othres link]
Performance prediction of massively parallel computation by Bayesian inference [DOI][Othres link]
Combinatorial preconditioning for accelerating the convergence of the parallel block Jacobi method for the symmetric eigenvalue problem [DOI]
Acceleration and Parallelization of a Linear Equation Solver for Crack Growth Simulation Based on the Phase Field Model [DOI]
On eigenvalues of a matrix arising in energy-preserving/dissipative continuous-stage Runge-Kutta methods [DOI]
Block red–black MILU(0) preconditioner with relaxation on GPU [DOI]
Error analysis of the cholesky qr-based block orthogonalization process for the one-sided block Jacobi SVD algorithm [DOI]
On convergence to eigenvalues and eigenvectors in the block-Jacobi EVD algorithm with dynamic ordering
Convergence acceleration of the shifted LR transformations for totally nonnegative Hessenberg matrices, Applications of Mathematics [DOI][Scopus][Scopus]
Fixed-point analysis of Ogita-Aishima’s symmetric eigendecomposition refinement algorithm for multiple eigenvalues
On Using the shifted minimal residual method for quantum-mechanical wave packet simulation [DOI]
A case study on modeling the performance of dense matrix computation: Tridiagonalization in the EigenExa eigensolver on the K computer [DOI][Othres link]
Performance of the parallel block Jacobi method with dynamic ordering for the symmetric eigenvalue problem
Asymptotic quadratic convergence of the parallel block-Jacobi EVD algorithm with dynamic ordering for Hermitian matrices [DOI]
The danger of combining block red–black ordering with modified incomplete factorizations and its remedy by perturbation or relaxation [DOI]
On using the Cholesky QR method in the full-blocked one-sided Jacobi algorithm [DOI]
One-way dissectionオーダリングによる連立一次方程式の直接解法の並列化
Solution of a Nonlinear Eigenvalue Problem Using Signed Singular Values [DOI][Web of Scientce]
Asymptotic quadratic convergence of the serial block-Jacobi EVD algorithm for Hermitian matrices [DOI][Web of Scientce]
On the optimality and sharpness of Laguerre’s lower bound on the smallest eigenvalue of a symmetric positive definite matrix [Web of Scientce]
Performance analysis and optimization of the parallel one-sided block Jacobi SVD algorithm with dynamic ordering and variable blocking [DOI][Web of Scientce]
箱と玉の両方に番号が付いた箱玉系について
Probabilistic analysis of an estimator for the Frobenius norm of a matrix product [DOI]
Xeon PhiにおけるDSYRKの並列化手法と性能解析
On constructing cost models for online automatic tuning using ATMathCoreLib: Case studies through the SVD computation on a multicore processor [DBLP][DOI][Web of Scientce][Othres link]
An asymptotic analysis for an integrable variant of the Lotka–Volterra prey–predator model via a determinant expansion technique [DOI][Web of Scientce]
ROUNDOFF ERROR ANALYSIS OF THE CHOLESKYQR2 ALGORITHM [Web of Scientce]
Performance Analysis of the Householder-Type Parallel Tall-Skinny QR Factorizations Toward Automatic Algorithm Selection. [DOI][DBLP][Othres link]
Convergence analysis of the parallel classical block Jacobi method for the symmetric eigenvalue problem
Performance analysis of the Householder-type parallel tall-skinny QR factorizations toward automatic algorithm selection
CholeskyQR2: A Simple and Communication-Avoiding Algorithm for Computing a Tall-Skinny QR Factorization on a Large-Scale Parallel System [DOI][Web of Scientce]
Integrable discrete hungry systems and their related matrix eigenvalues [DOI][Web of Scientce]
A Bäcklund transformation between two integrable discrete hungry systems [DOI][J-GLOBAL]
Acceleration of Hessenberg Reduction for Nonsymmetric Eigenvalue Problems in a Hybrid CPU-GPU Computing Environment. [DBLP][Othres link][Othres link]
Four-point correlation function of a passive scalar field in rapidly fluctuating turbulence: Numerical analysis of an exact closure equation [DOI][Othres link]
Acceleration of Hessenberg reduction for nonsymmetric eigenvalue problems using GPU [DOI]
Dynamic programming approaches to optimizing the blocking strategy for basic matrix decompositions [DOI]
Differential qd algorithm for totally nonnegative Hessenberg matrices: introduction of origin shifts and relationship with the discrete hungry Lotka-Volterra system [DOI][J-GLOBAL]
Roundoff error analysis of the CholeskyQR2 and related algorithms
一般内積に対する修正グラム・シュミット直交化の効率的実装法の誤差解析
片側ヤコビSVDの並列計算機向け実装と性能解析
ブロックヤコビ法に基づく強スケーリング型固有値・特異値計算アルゴリズム
Convergence Analysis of the Parallel Block Jacobi Method for the SVD with Dynamic Ordering
ブロック化赤-黒順序付けにおけるMILU分解の問題点と緩和係数導入の効果
High-Performance Parallelization Method of DSYRK for SVD and other Matrix Computations on Xeon Phi
Solution of a Nonlinear Eigenvalue Problem using the Signed Singular Values with Application to the Scaling Exponent Computation in 2 Dimensional Turbulent Flow
Xeon PhiにおけるDSYRKの並列化手法と性能解析
Performance of the Parallel One-Sided Block Jacobi SVD Algorithm on a Modern Distributed-Memory Parallel Computer
三重対角化に対するDongarra--Wilkinson法の性能解析と実装手法について
A nonlinear eigenvalue problem arising in theoretical fluid dynamics and its solution using signed singular values
