Add to ORKGFor bivariate polynomials of degree $n\le 5$ we give fast numerical constructions of determinantal representations with $n\times n$ matrices. Unlike some other available constructions, our approach returns matrices of the smallest possible size $n\times n$ for all polynomials of degree $n$ and does not require any symbolic computation. We can apply these linearizations to numerically compute the roots of a system of two bivariate polynomials by using numerical methods for two-parameter eigenvalue problems.Comment: 24 pages, 5 figure
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
\u3cbr/\u3eThe problem of expressing a specific polynomial as the determinant of a square matrix of ...
We give two determinantal representations for a bivariate polynomial. They may be used to compute th...
We give two determinantal representations for a bivariate polynomial. They may be used to compute th...
We give two determinantal representations for a bivariate polynomial. They may be used to compute th...
We give two determinantal representations for a bivariate polynomial. They may be used to compute th...
We give two determinantal representations for a bivariate polynomial. They may be used to compute th...
We give two determinantal representations for a bivariate polynomial. They may be used to compute th...
We give two determinantal representations for a bivariate polynomial. They may be used to compute th...
We give two determinantal representations for a bivariate polynomial. They may be used to compute th...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
\u3cbr/\u3eThe problem of expressing a specific polynomial as the determinant of a square matrix of ...
We give two determinantal representations for a bivariate polynomial. They may be used to compute th...
We give two determinantal representations for a bivariate polynomial. They may be used to compute th...
We give two determinantal representations for a bivariate polynomial. They may be used to compute th...
We give two determinantal representations for a bivariate polynomial. They may be used to compute th...
We give two determinantal representations for a bivariate polynomial. They may be used to compute th...
We give two determinantal representations for a bivariate polynomial. They may be used to compute th...
We give two determinantal representations for a bivariate polynomial. They may be used to compute th...
We give two determinantal representations for a bivariate polynomial. They may be used to compute th...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
\u3cbr/\u3eThe problem of expressing a specific polynomial as the determinant of a square matrix of ...