# New concurrent iterative methods with monotonic convergence

## Abstract

This paper proposes the new concurrent iterative methods without using any derivatives for finding all zeros of polynomials simultaneously. The new methods are of monotonic convergence for both simple and multiple real-zeros of polynomials and are quadratically convergent. The corresponding accelerated concurrent iterative methods are obtained too. The new methods are good candidates for the application in solving symmetric eigenproblems.

- Authors:

- Michigan State Univ., East Lansing, MI (United States)

- Publication Date:

- Research Org.:
- Front Range Scientific Computations, Inc., Lakewood, CO (United States)

- OSTI Identifier:
- 433344

- Report Number(s):
- CONF-9604167-Vol.1

ON: DE96015306; TRN: 97:000720-0017

- Resource Type:
- Conference

- Resource Relation:
- Conference: Copper Mountain conference on iterative methods, Copper Mountain, CO (United States), 9-13 Apr 1996; Other Information: PBD: [1996]; Related Information: Is Part Of Copper Mountain conference on iterative methods: Proceedings: Volume 1; PB: 422 p.

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; ITERATIVE METHODS; CONVERGENCE; POLYNOMIALS; EIGENVALUES

### Citation Formats

```
Yao, Qingchuan.
```*New concurrent iterative methods with monotonic convergence*. United States: N. p., 1996.
Web.

```
Yao, Qingchuan.
```*New concurrent iterative methods with monotonic convergence*. United States.

```
Yao, Qingchuan. Tue .
"New concurrent iterative methods with monotonic convergence". United States.
doi:. https://www.osti.gov/servlets/purl/433344.
```

```
@article{osti_433344,
```

title = {New concurrent iterative methods with monotonic convergence},

author = {Yao, Qingchuan},

abstractNote = {This paper proposes the new concurrent iterative methods without using any derivatives for finding all zeros of polynomials simultaneously. The new methods are of monotonic convergence for both simple and multiple real-zeros of polynomials and are quadratically convergent. The corresponding accelerated concurrent iterative methods are obtained too. The new methods are good candidates for the application in solving symmetric eigenproblems.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Tue Dec 31 00:00:00 EST 1996},

month = {Tue Dec 31 00:00:00 EST 1996}

}

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