"Vol. 41" . . . "Electronic Transactions on Numerical Analysis" . "ZEROS AND SINGULAR POINTS FOR ONE-SIDED COQUATERNIONIC POLYNOMIALS WITH AN EXTENSION TO OTHER R4 ALGEBRAS" . . . "2"^^ . "22340" . "RIV/60461373:22340/14:43897765" . "http://etna.math.kent.edu/volumes/2011-2020/vol41/" . "Janovsk\u00E1, Drahoslava" . . . "For finding the zeros of a coquaternionic polynomial p of degree n, the concept of a (real) companion polynomial q of degree 2n, is applied. If z0 is a root of q, then, based on z0, there is a simple formula for an element z with the property that (p(z))*p(z) = 0, thus z is a singular point of p. Under certain conditions, the same z has the property that p(z) = 0, thus z is a zero of p. There is an algorithm for finding zeros and singular points of p.. For finding zeros which are not similar to complex numbers, Newton's method is applied, and a simple technique for computing the exact Jacobi matrix is presented."@en . . "1"^^ . "ZEROS AND SINGULAR POINTS FOR ONE-SIDED COQUATERNIONIC POLYNOMIALS WITH AN EXTENSION TO OTHER R4 ALGEBRAS" . "Newton method; singular points for coquaternionic polynomials; companion polynomial for coquaternionic polynomials; zeros of coquaternionic polynomials"@en . "Opfer, Gerhard" . "ZEROS AND SINGULAR POINTS FOR ONE-SIDED COQUATERNIONIC POLYNOMIALS WITH AN EXTENSION TO OTHER R4 ALGEBRAS"@en . "I" . "26"^^ . . "[FF1D45506F8A]" . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . . "For finding the zeros of a coquaternionic polynomial p of degree n, the concept of a (real) companion polynomial q of degree 2n, is applied. If z0 is a root of q, then, based on z0, there is a simple formula for an element z with the property that (p(z))*p(z) = 0, thus z is a singular point of p. Under certain conditions, the same z has the property that p(z) = 0, thus z is a zero of p. There is an algorithm for finding zeros and singular points of p.. For finding zeros which are not similar to complex numbers, Newton's method is applied, and a simple technique for computing the exact Jacobi matrix is presented." . "ZEROS AND SINGULAR POINTS FOR ONE-SIDED COQUATERNIONIC POLYNOMIALS WITH AN EXTENSION TO OTHER R4 ALGEBRAS"@en . "1068-9613" . . "RIV/60461373:22340/14:43897765!RIV15-MSM-22340___" . "June" . . . . . "57316" . .