Sum of Squares and Non Sum of Squares Regimes for the Toeplitz Bottcher Wenzel Form X407M6WFNR

URI	`m2://res/X407M6WFNR`
Kind	preprint
Creators	Wenqi Zhu, Ping Nie
Date	2026-10-06
MSC	65-XX, 49-XX, 90-XX, 93-XX
Subjects	arxiv math.NA, arxiv cs.NA, arxiv math.OC
Scope	in

Expressions

e1: version, preprint

Language	en
Date	2026-10-06
Ids	arXiv 2610.08980

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Finite Gram test	statement	lemma 2.5	arxiv
Complete characterization of wedge Gram representations	statement	lemma 2.1	arxiv
Symmetric--skew-symmetric pair	statement	lemma 3.2	arxiv
Gram representation of the corner-supported Toeplitz BW form	statement	lemma 2.3	arxiv
Exact positive increments	statement	lemma 4.1	arxiv
An explicit normal form at corner depth $m=2$	example	example 2.2	arxiv
Properties of the corner-supported Toeplitz BW form	statement	lemma 2.2	arxiv
Scaled Gram-invariant limit	statement	lemma B.1	arxiv
The Splitting Lemma	statement	lemma 3.1	arxiv
Finite Gram decomposition	statement	lemma 2.6	arxiv
The finite positive range	statement	theorem 4.1	arxiv
Gram representation for a corner-supported Toeplitz BW form with $m=2$	example	example 2.1	arxiv
Uniform vanishing of the Gram-dependent part	statement	proposition 2.2	arxiv
One symmetric or skew-symmetric factor	statement	theorem 3.1	arxiv
General Gram normal form for the corner-supported Toeplitz BW form	statement	lemma 2.4	arxiv
Uniform finite-scale non-SoS test	statement	theorem D.1	arxiv
Uniform conjugate-slice bound	statement	lemma C.1	arxiv
Quantitative analytic continuation	statement	lemma D.2	arxiv
Uniform analytic continuation	statement	lemma C.2	arxiv
Negative limit of the Gram-invariant part	statement	proposition 2.1	arxiv
Exact negative direction	statement	lemma B.2	arxiv
An explicit window decomposition	statement	proposition E.1	arxiv
SWBQMV750D	statement	theorem 2.1	arxiv
Explicit sufficient order	statement	proposition D.1	arxiv
Both symmetric or skew-symmetric pair	statement	proposition 3.1	arxiv
Quantitative finite tails	statement	lemma D.1	arxiv

Catalogue records

arxiv: 2610.08980 (work)
arxiv_text: 2610.08980 (work)