scholarly journals The Totally Positive Completion Problem: The 3-by-n Case

2021 ◽  
Vol 9 (1) ◽  
pp. 226-239
Author(s):  
D. Carter ◽  
K.E. DiMarco ◽  
C.R. Johnson ◽  
L. Wedemeyer ◽  
Z. Yu
Keyword(s):  
Completion Problem ◽  
Totally Positive

Abstract The 3-by-n TP-completable patterns are characterized by identifying the minimal obstructions up to natural symmetries. They are finite in number.

scholarly journals The totally positive completion problem

2004 ◽  
Vol 393 ◽  
pp. 259-274 ◽  
Author(s):  
Cristina Jordán ◽  
Juan R. Torregrosa
Keyword(s):  
Completion Problem ◽  
Totally Positive

Paths and Cycles in the Totally Positive Completion Problem

2004 ◽  
pp. 217-224
Author(s):  
Cristina Jordán ◽  
Juan R. Torregrosa
Keyword(s):  
Completion Problem ◽  
Totally Positive

Totally Positive Matrices

2009 ◽  
Author(s):  
Allan Pinkus
Keyword(s):  
Totally Positive ◽  
Positive Matrices ◽  
Totally Positive Matrices

scholarly journals Some Aspects of Totally Positive Kernels Useful in Information Theory

2019 ◽  
Author(s):  
Semih Yagli ◽  
Alex Dytso ◽  
H. Vincent Poor ◽  
Shlomo Shamai Shitz
Keyword(s):  
Information Theory ◽  
Totally Positive ◽  
Positive Kernels

FINITENESS RESULTS FOR REGULAR DEFINITE TERNARY QUADRATIC FORMS OVER ${\mathbb Q}(\sqrt{5})$

2007 ◽  
Vol 03 (04) ◽  
pp. 541-556 ◽  
Author(s):  
WAI KIU CHAN ◽  
A. G. EARNEST ◽  
MARIA INES ICAZA ◽  
JI YOUNG KIM
Keyword(s):  
Quadratic Form ◽  
Number Field ◽  
Quadratic Forms ◽  
Positive Definite ◽  
Integral Quadratic Form ◽  
Ring Of Integers ◽  
Ternary Quadratic Forms ◽  
Totally Positive ◽  
Finiteness Result

Let 𝔬 be the ring of integers in a number field. An integral quadratic form over 𝔬 is called regular if it represents all integers in 𝔬 that are represented by its genus. In [13,14] Watson proved that there are only finitely many inequivalent positive definite primitive integral regular ternary quadratic forms over ℤ. In this paper, we generalize Watson's result to totally positive regular ternary quadratic forms over [Formula: see text]. We also show that the same finiteness result holds for totally positive definite spinor regular ternary quadratic forms over [Formula: see text], and thus extends the corresponding finiteness results for spinor regular quadratic forms over ℤ obtained in [1,3].

The cyclic rank completion problem with regular blocks

2017 ◽  
Vol 66 (5) ◽  
pp. 861-868 ◽  
Author(s):  
Nir Cohen ◽  
Edgar Pereira
Keyword(s):  
Completion Problem

scholarly journals The Sudoku completion problem with rectangular hole pattern is NP-complete

2012 ◽  
Vol 312 (22) ◽  
pp. 3306-3315 ◽  
Author(s):  
Ramón Béjar ◽  
Cèsar Fernández ◽  
Carles Mateu ◽  
Magda Valls
Keyword(s):  
Rectangular Hole ◽  
Completion Problem ◽  
Np Complete

scholarly journals Zak transforms and Gabor frames of totally positive functions and exponential B-splines

2014 ◽  
Vol 184 ◽  
pp. 209-237 ◽  
Author(s):  
Tobias Kloos ◽  
Joachim Stöckler
Keyword(s):  
Gabor Frames ◽  
B Splines ◽  
Totally Positive ◽  
Positive Functions
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