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- Matu-Tarow Noda, Isao Makino, Toshiaki Saito
- ACM SIGSAM Bulletin
- 1997

Generalized inverses have many applications in engineering problems, such as data analysis, electrical networks, character recognitions, and so on. The most frequently used generalized inverse is a Moore-Penrose type's one. Let <i>A</i> be <i>m</i> x <i>n</i> matrix. The Moore-Penrose generalized inverse of <i>A,</i> i.e., <i>n</i> x <i>m</i> matrix… (More)

In this paper, we propose a combined symbolic-numeric algorithm for computing the nearest singular polynomial and its multiple zero. Explicit expressions of the minimal perturbation and the nearest singular polynomials are presented. A theoretical error bound and several numerical examples are given.

- Hirohisa Aman, Naomi Mochiduki, Hiroyuki Yamada, Matu-Tarow Noda
- IEICE Transactions
- 2005

Larger object classes often become more costly classes in the maintenance phase of object-oriented software. Consequently class would have to be constructed in a medium or small size. In order to discuss such desirable size, this paper proposes a simple method for predictively discriminating costly classes in version-upgrades, using a class size metric,… (More)

- Hiroshi Kai, Matu-Tarow Noda
- Reliable Computing
- 2000

- Eddy Cizeron, Hirohisa Aman, Hiroshi Kai, Matu-Tarow Noda
- IEICE Transactions
- 2005

- Hiroshi Kai, Nanami Nakagawa, Matu-Tarow Noda
- SNC
- 2007

We present a hybrid integral to obtain symbolic results of an indefinite integral where the integrand is an univariate rational function whose coeficients have a parameter. We consider calculating power series roots of the denominator polynomial by applying Hensel construction. Accurate numerical results for a definite integral are easily obtained by simple… (More)

- Hiroshi Kai, Matu-Tarow Noda
- ACM SIGSAM Bulletin
- 2000

The objective of this paper is to describe a new development in robust stability analysis which the stability margin (kM) problem can be formulated as solving polynomial systems by using symbolic computation. Once the solutions are found, the stability margin problem can be easily solved. However, for real kM problem, there could be thousands or even… (More)

- Takumi Watanabe, Ikko Kadota, +4 authors Matu-Tarow Noda
- 2004

Among the Web-based technologies, we focused on the term Web Service to support the implementation of Lupin’s architecture, which is composed of the standard protocols such as SOAP, WSDL, UDDI, as well as the mathematical markup language MathML, Computer Algebra System (CAS), and the relevant XML technologies. This poster presents an implementation of… (More)

- Hiroshi Kai, Matu-Tarow Noda
- ACM SIGSAM Bulletin
- 1998

Hybrid Rational Function Approximation (HRFA) [6] is one of important and interesting applications of approximate-GCD [1, 3, 5, 7, 8]. The HI:tFA has been already applied to da ta smoothing, integral of function and Cauchy principal value integral[4, 6]. Here we consider an application of the HI:tFA to Cauchy-type singular integral equations. Especially a… (More)

- Matu-Tarow Noda
- ACM SIGSAM Bulletin
- 1996

These are abstracts of talks given at the 14th RIMS (Research Institute for Mathematical Sciences) Meeting of Computer Algebra and Its Applications in Mathematical Researches. The meeting took place from 20 to 22 in November 1995. In the meeting, 31 talks were presented. Here, short abstracts of almost all talks are shown. If readers have an interest in in… (More)