Question

mean of two floating point numbers: why $a+\frac{b-a}{2}$ is better than $\frac{a+b}{2}$?

score 141 · Answer 1 · 2020-08-05 11:55:42

141

Views

mean of two floating point numbers: why $a+\frac{b-a}{2}$ is better than $\frac{a+b}{2}$?

Published on 05 Aug 2020 - 11:55

score 703 · Answer 2 · 2020-09-14 17:55:42

703

Views

Why computing $\sin(x)$ is not backward stable?

Published on 14 Sep 2020 - 17:55

score 41 · Answer 3 · 2026-03-25 16:45:24

41

Views

A different type of IEEE single format

Published on 25 Mar 2026 - 16:45

score 90 · Answer 4 · 2026-03-27 03:48:58

90

Views

Accuracy in rounding

Published on 27 Mar 2026 - 3:48

score 298 · Answer 5 · 2020-09-16 01:34:36

298

Views

Converting decimal number to a floating point system

Published on 16 Sep 2020 - 1:34

score 31 · Answer 6 · 2020-09-21 02:39:00

31

Views

With what exponent rules does $-(2^{-55} + .4\times2^{-56})+(2^{-54})$ become $.1\times2^{-52}$?

Published on 21 Sep 2020 - 2:39

score 1.5k · Answer 7 · 2020-10-12 16:45:20

1.5k

Views

machine epsilon value for IEEE double precision standard alternative proof using relative error

Published on 12 Oct 2020 - 16:45

score 95 · Answer 8 · 2020-10-15 03:38:50

95

Views

A question from floating point number representation.

Published on 15 Oct 2020 - 3:38

score 683 · Answer 9 · 2026-03-26 04:28:25

683

Views

Bisection method with geometric mean

Published on 26 Mar 2026 - 4:28

score 190 · Answer 10 · 2020-11-01 12:39:55

190

Views

How to improve the precision of this approximation

Published on 01 Nov 2020 - 12:39

score 130 · Answer 11 · 2020-11-19 22:46:43

130

Views

Proof of accuracy of converting decimal to binary floating-point number to decimal

Published on 19 Nov 2020 - 22:46

score 322 · Answer 12 · 2021-01-17 20:59:38

322

Views

How can I simplify this lerp arithmetic to avoid floating point precision errors?

Published on 17 Jan 2021 - 20:59

score 465 · Answer 13 · 2021-02-12 16:01:16

465

Views

0.1+0.2=0.30000000000000004 in floating point IEEE representations arithmetic addition manual proof.

Published on 12 Feb 2021 - 16:01

score 145 · Answer 14 · 2026-03-26 20:37:51

145

Views

Backward Stability solving linear system with unitary matrices

Published on 26 Mar 2026 - 20:37

score 357 · Answer 15 · 2021-02-21 20:03:34

357

Views

Mathematical constants and approximations of irrational numbers

Published on 21 Feb 2021 - 20:03

List Question

mean of two floating point numbers: why $a+\frac{b-a}{2}$ is better than $\frac{a+b}{2}$?

Why computing $\sin(x)$ is not backward stable?

A different type of IEEE single format

Accuracy in rounding

Converting decimal number to a floating point system

With what exponent rules does $-(2^{-55} + .4\times2^{-56})+(2^{-54})$ become $.1\times2^{-52}$?

machine epsilon value for IEEE double precision standard alternative proof using relative error

A question from floating point number representation.

Bisection method with geometric mean

How to improve the precision of this approximation

Proof of accuracy of converting decimal to binary floating-point number to decimal

How can I simplify this lerp arithmetic to avoid floating point precision errors?

0.1+0.2=0.30000000000000004 in floating point IEEE representations arithmetic addition manual proof.

Backward Stability solving linear system with unitary matrices

Mathematical constants and approximations of irrational numbers

Trending Questions

Popular # Hahtags

Popular Questions