Floating-point division and square root using a Taylor-series expansion algorithm

Microelectronics Journal ◽

10.1016/j.mejo.2009.03.004 ◽

2009 ◽

Vol 40 (11) ◽

pp. 1601-1605 ◽

Author(s):

Taek-Jun Kwon ◽

Jeffrey Draper

Keyword(s):

Series Expansion ◽

Taylor Series ◽

Taylor Series Expansion ◽

Floating Point ◽

Download Full-text

Floating-point division and square root using a Taylor-series expansion algorithm

2007 50th Midwest Symposium on Circuits and Systems ◽

10.1109/mwscas.2007.4488594 ◽

2007 ◽

Author(s):

Taek-Jun Kwon ◽

Jeff Sondeen ◽

Jeff Draper

Keyword(s):

Series Expansion ◽

Taylor Series ◽

Taylor Series Expansion ◽

Floating Point ◽

Download Full-text

Floating-point division and square root implementation using a Taylor-series expansion algorithm with reduced look-up tables

2008 51st Midwest Symposium on Circuits and Systems ◽

10.1109/mwscas.2008.4616959 ◽

2008 ◽

Author(s):

Taek-Jun Kwon ◽

Jeff Draper

Keyword(s):

Series Expansion ◽

Taylor Series ◽

Taylor Series Expansion ◽

Floating Point ◽

Download Full-text

Floating-Point Square Root Calculation Algorithm Based on Taylor-Series Expansion and Region Division

10.1109/mwscas47672.2021.9531692 ◽

2021 ◽

Author(s):

Jianglin Wei ◽

Anna Kuwana ◽

Haruo Kobayashi ◽

Kazuyoshi Kubo ◽

Yuuki Tanaka

Keyword(s):

Series Expansion ◽

Taylor Series ◽

Taylor Series Expansion ◽

Floating Point ◽

Square Root ◽

Calculation Algorithm ◽

Region Division

Download Full-text

Floating-point division and square root implementation using a Taylor-series expansion algorithm

2008 15th IEEE International Conference on Electronics, Circuits and Systems ◽

10.1109/icecs.2008.4674950 ◽

2008 ◽

Author(s):

Taek-Jun Kwon ◽

Jeff Sondeen ◽

Jeff Draper

Keyword(s):

Series Expansion ◽

Taylor Series ◽

Taylor Series Expansion ◽

Floating Point ◽

Download Full-text

Floating-Point Inverse Square Root Algorithm Based on Taylor-Series Expansion

IEEE Transactions on Circuits & Systems II Express Briefs ◽

10.1109/tcsii.2021.3062358 ◽

2021 ◽

pp. 1-1

Author(s):

Jianglin Wei ◽

Anna Kuwana ◽

Haruo Kobayashi ◽

Kazuyoshi Kubo ◽

Yuuki Tanaka

Keyword(s):

Series Expansion ◽

Taylor Series ◽

Taylor Series Expansion ◽

Floating Point ◽

Download Full-text

Divide and Conquer: Floating-Point Exponential Calculation Based on Taylor-Series Expansion

10.1109/asicon52560.2021.9620253 ◽

2021 ◽

Author(s):

Jianglin Wei ◽

Anna Kuwana ◽

Haruo Kobayashi ◽

Kazuyoshi Kubo

Keyword(s):

Series Expansion ◽

Taylor Series ◽

Taylor Series Expansion ◽

Divide And Conquer ◽

Download Full-text

IEEE754 Binary32 Floating-Point Logarithmic Algorithms based on Taylor-Series Expansion with Mantissa Region Conversion and Division

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.2021eap1076 ◽

2022 ◽

Author(s):

Jianglin WEI ◽

Anna KUWANA ◽

Haruo KOBAYASHI ◽

Kazuyoshi KUBO

Keyword(s):

Series Expansion ◽

Taylor Series ◽

Taylor Series Expansion ◽

Download Full-text

A Floating Point Divison Unit Based on Taylor-Series Expansion Algorithm and Iterative Logarithmic Multiplier

Computer Science & Information Technology ( CS & IT ) ◽

10.5121/csit.2016.61203 ◽

2016 ◽

Author(s):

Riyansh K. Karani ◽

Akash K. Rana ◽

Dhruv H. Reshamwala ◽

Kishore Saldanha

Keyword(s):

Series Expansion ◽

Taylor Series ◽

Taylor Series Expansion ◽

Download Full-text

Revisit to Floating-Point Division Algorithm Based on Taylor-Series Expansion

2020 IEEE Asia Pacific Conference on Circuits and Systems (APCCAS) ◽

10.1109/apccas50809.2020.9301675 ◽

2020 ◽

Author(s):

Jianglin Wei ◽

Anna Kuwana ◽

Haruo Kobayashi ◽

Kazuyoshi Kubo

Keyword(s):

Series Expansion ◽

Taylor Series ◽

Taylor Series Expansion ◽

Floating Point ◽

Division Algorithm

Download Full-text

Truncation Error for the Simpson’s 1/3 Rule Based on Taylor Series Expansion

10.26678/abcm.encit2020.cit20-0167 ◽

2020 ◽

Author(s):

Antonio Carlos Foltran ◽

Carlos Henrique Marchi ◽

Luís Mauro Moura

Keyword(s):

Series Expansion ◽

Taylor Series ◽

Truncation Error ◽

Taylor Series Expansion ◽

Download Full-text