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Chapter
Scalable Eigen-Analysis Engine for Large-Scale Eigenvalue Problems
Our project aims to develop a massively parallel Eigen-Supercomputing Engine for post-petascale systems. Our Eigen-Engines are based on newly designed algorithms that are suited to the hierarchical architectur...
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Article
Open AccessTranscriptional alterations during proliferation and lignification in Phyllostachys nigra cells
Highly-lignified culms of bamboo show distinctive anatomical and mechanical properties compared with the culms of other grass species. A cell culture system for Phyllostachys nigra has enabled investigating the a...
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Article
Clinical relevance of active straight leg raising, standing up, and walking after total knee arthroplasty in a cross-sectional study
Active straight leg raising (ASLR) is used to assess restoration of the quadriceps muscle immediately after total knee arthroplasty (TKA). This study aimed to (1) compare the times required to accomplish ASLR,...
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Article
Parallel Implementation of the Nonlinear Semi-NMF Based Alternating Optimization Method for Deep Neural Networks
For computing weights of deep neural networks (DNNs), the backpropagation (BP) method has been widely used as a de-facto standard algorithm. Since the BP method is based on a stochastic gradient descent method...
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Chapter and Conference Paper
Structure-Preserving Technique in the Block SS–Hankel Method for Solving Hermitian Generalized Eigenvalue Problems
The block SS–Hankel method is one of the most efficient methods for solving interior generalized eigenvalue problems (GEPs) when only the eigenvalues are required. However, even if the target GEP is Hermitian,...
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Article
Comparison of long-term clinical outcomes after bilateral mobile-bearing total knee arthroplasties using PCL-retaining and PCL-substituting implants in the same patients
Whether the posterior cruciate ligament (PCL) should be retained or substituted in total knee arthroplasty (TKA) remains an issue of concern. The purpose of this study was to perform within-patient comparisons...
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Article
Quadriceps strength impairment in the mid- to long-term follow-up period after total knee arthroplasty
Quadriceps strength impairment after total knee arthroplasty (TKA) continues to be a concern. However, most studies of quadriceps strength have short-term follow-up periods. Whether quadriceps strength impairm...
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Article
Anteroposterior translation and range of motion after total knee arthroplasty using posterior cruciate ligament-retaining versus posterior cruciate ligament-substituting prostheses
It is still controversial whether anteroposterior (AP) translation magnitude after total knee arthroplasty (TKA) affects clinical outcomes, particularly range of motion (ROM). This study examined the followin...
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Article
Improving backward stability of Sakurai-Sugiura method with balancing technique in polynomial eigenvalue problem
One of the most efficient methods for solving the polynomial eigenvalue problem (PEP) is the Sakurai-Sugiura method with Rayleigh-Ritz projection (SS-RR), which finds the eigenvalues contained in a certain dom...
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Article
A real-valued block conjugate gradient type method for solving complex symmetric linear systems with multiple right-hand sides
We consider solving complex symmetric linear systems with multiple right-hand sides. We assume that the coefficient matrix has indefinite real part and positive definite imaginary part. We propose a new block ...
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Article
Block Krylov-type complex moment-based eigensolvers for solving generalized eigenvalue problems
Complex moment-based eigensolvers for solving interior eigenvalue problems have been studied because of their high parallel efficiency. Recently, we proposed the block Arnoldi-type complex moment-based eigenso...
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Chapter and Conference Paper
Numerical Integral Eigensolver for a Ring Region on the Complex Plane
In the present paper, we propose an extension of the Sakurai-Sugiura projection method (SSPM) for a circumference region on the complex plane. The SSPM finds eigenvalues in a specified region on the complex pl...
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Chapter and Conference Paper
Eigenspectrum Calculation of the O(a)-Improved Wilson-Dirac Operator in Lattice QCD Using the Sakurai-Sugiura Method
We have developed a computer code to find eigenvalues and eigenvectors of non-Hermitian sparse matrices arising in lattice quantum chromodynamics (lattice QCD). The Sakurai-Sugiura (SS) method (Sakurai and Sug...
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Chapter and Conference Paper
Highly Parallel Computation of Generalized Eigenvalue Problem in Vibration for Automatic Transmission of Vehicles Using the Sakurai–Sugiura Method and Supercomputers
In this paper, we discuss highly parallel computational approach for solving eigenvalue problems arising from problem in automatic of vehicles. Vibration performance is an important quality measure of vehi...
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Chapter and Conference Paper
Memory-Saving Technique for the Sakurai–Sugiura Eigenvalue Solver Using the Shifted Block Conjugate Gradient Method
In recent years, a numerical quadrature-based sparse eigensolver—the so-called Sakurai–Sugiura method—and its variants have attracted attention because of their highly coarse-grained parallelism. In this paper...
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Chapter and Conference Paper
An Error Resilience Strategy of a Complex Moment-Based Eigensolver
Recently, complex moment-based eigensolvers have been actively developed in highly parallel environments to solve large and sparse eigenvalue problems. In this paper, we provide an error resilience strategy of...
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Article
Relationships among contour integral-based methods for solving generalized eigenvalue problems
Recently, contour integral-based methods have been actively studied for solving interior eigenvalue problems that find all eigenvalues located in a certain region and their corresponding eigenvectors. In this ...
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Article
Open AccessAnalysis of single nucleotide polymorphisms based on RNA sequencing data of diverse bio-geographical accessions in barley
Barley is one of the founder crops of Old world agriculture and has become the fourth most important cereal worldwide. Information on genome-scale DNA polymorphisms allows elucidating the evolutionary history ...
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Article
Cassava (Manihot esculenta) transcriptome analysis in response to infection by the fungus Colletotrichum gloeosporioides using an oligonucleotide-DNA microarray
Cassava anthracnose disease (CAD), caused by the fungus Colletotrichum gloeosporioides f. sp. Manihotis, is a serious disease of cassava (Manihot esculenta) worldwide. In this study, we established a cassava olig...
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Article
Error bounds of Rayleigh–Ritz type contour integral-based eigensolver for solving generalized eigenvalue problems
We investigate contour integral-based eigensolvers for computing all eigenvalues located in a certain region and their corresponding eigenvectors. In this paper, we focus on a Rayleigh–Ritz type method and ana...
