Question

Prove inequality about degrees of polynomials and resultant

score 37 · Answer 1 · 2023-12-06 12:55:15

37

Views

Prove inequality about degrees of polynomials and resultant

Published on 06 Dec 2023 - 12:55

score 28 · Answer 2 · 2023-12-06 14:08:44

28

Views

Resultant bounded by norms

Published on 06 Dec 2023 - 14:08

score 58 · Answer 3 · 2023-12-31 04:44:27

58

Views

A lower bound of the distance between 2 distinct roots of 2 distinct polynomials

Published on 31 Dec 2023 - 4:44

score 50 · Answer 4 · 2024-02-25 16:06:34

50

Views

Calculate the discriminant of $X^n+aX^{n-1}+b$, given the discriminant of $X^n+aX+b$

Published on 25 Feb 2024 - 16:06

score 56 · Answer 5 · 2024-03-06 18:57:45

56

Views

if $\exists$ nontrivial polynomial relation $s(X) \cdot A(X) + t(X) \cdot B(X) = 0$, then do $A$ and $B$ have a common factor?

Published on 06 Mar 2024 - 18:57

score 18 · Answer 6 · 2024-03-15 20:39:35

18

Views

Algorithm for the resultant of two bivariate polynomials

Published on 15 Mar 2024 - 20:39

score 2.6k · Answer 7 · 2015-03-15 07:46:45

2.6k

Views

Looking for a proof that the resultant is the product of the differences of roots

Published on 15 Mar 2015 - 7:46

score 765 · Answer 8 · 2015-04-28 10:07:14

765

Views

Discriminant of a product of polynomials

Published on 28 Apr 2015 - 10:07

score 213 · Answer 9 · 2015-10-28 17:26:12

213

Views

How can I see that the resultant of two polynomials can be expressed by their coefficients?

Published on 28 Oct 2015 - 17:26

score 344 · Answer 10 · 2016-05-18 16:35:48

344

Views

Resultant of two single-variable polynomials via long division

Published on 18 May 2016 - 16:35

score 301 · Answer 11 · 2013-05-17 15:37:00

301

Views

How is the resultant $R(z) =\text{res}_θ(1 - \frac{z}{x}, θ) = 1 - \frac{z}{x}$ calculated?

Published on 17 May 2013 - 15:37

score 501 · Answer 12 · 2013-11-16 20:26:06

501

Views

What are the algorithms to compute the resultant ${\rm Res}(f(x),g(x),x)$ of two univariate polynomials $f,g$?

Published on 16 Nov 2013 - 20:26

score 360 · Answer 13 · 2017-06-15 20:10:57

360

Views

Discriminant and Resultant

Published on 15 Jun 2017 - 20:10

score 164 · Answer 14 · 2017-09-12 07:57:03

164

Views

Determinant of $xP+yQ$ is resultant of $P$ and $Q$

Published on 12 Sep 2017 - 7:57

score 194 · Answer 15 · 2017-09-29 14:25:10

194

Views

Reduce the size of resultant with polynomial of two variables.

Published on 29 Sep 2017 - 14:25

List Question

Prove inequality about degrees of polynomials and resultant

Resultant bounded by norms

A lower bound of the distance between 2 distinct roots of 2 distinct polynomials

Calculate the discriminant of $X^n+aX^{n-1}+b$, given the discriminant of $X^n+aX+b$

if $\exists$ nontrivial polynomial relation $s(X) \cdot A(X) + t(X) \cdot B(X) = 0$, then do $A$ and $B$ have a common factor?

Algorithm for the resultant of two bivariate polynomials

Looking for a proof that the resultant is the product of the differences of roots

Discriminant of a product of polynomials

How can I see that the resultant of two polynomials can be expressed by their coefficients?

Resultant of two single-variable polynomials via long division

How is the resultant $R(z) =\text{res}_θ(1 - \frac{z}{x}, θ) = 1 - \frac{z}{x}$ calculated?

What are the algorithms to compute the resultant ${\rm Res}(f(x),g(x),x)$ of two univariate polynomials $f,g$?

Discriminant and Resultant

Determinant of $xP+yQ$ is resultant of $P$ and $Q$

Reduce the size of resultant with polynomial of two variables.

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