عنوان

The positive semidefinite completion problem for two unspecified entries

شماره

TLpq304343199

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

عنوان اصلي

The positive semidefinite completion problem for two unspecified entries

نام عام مواد

[Thesis]

نام نخستين پديدآور

M. O. N. a. Omran

نام ساير پديدآوران

W. W. Barrett

نام ناشر، پخش کننده و غيره

Brigham Young University

تاریخ نشرو بخش و غیره

1997

نام خاص و کميت اثر

53

جزئيات پايان نامه و نوع درجه آن

Ph.D.

کسي که مدرک را اعطا کرده

Brigham Young University

امتياز متن

1997

متن يادداشت

The positive semidefinite (PSD) completion problem is concerned with determining the set of PSD completions of a partial matrix. Let usdB(x,y)usd and usdA(x,y)usd be real partial PSD matrices of order usdn\ge4usd with x and y the two unspecified entries corresponding to the two adjacent (respectively, nonadjacent) missing edges of their graphs. We show that the possible completion regions for usdB(x,y)usd are either a single point, a line segment, or an ellipse. For usdA(x,y)usd we give a fairly complete description of the real PSD completion region R. We find necessary and sufficient conditions on the specified entries of usdA(x,y)usd so that there are 1, 2, 3 or 4 singular points on the boundary of R, and so that usdA(x,y)usd has rank 2 PSD completions. We show that rank 2 completions occur in one of three ways: either there is a unique PSD completion (R is a single point), or det usdA(x,y)usd factors (with the occurrence of singular points), or the PSD completion region R (not a single point) contains a unique rank 2 PSD completion which is a singular point.

موضوع مستند نشده

Mathematics

موضوع مستند نشده

Pure sciences

مستند نام اشخاص تاييد نشده

M. O. N. a. Omran

مستند نام اشخاص تاييد نشده

W. W. Barrett

نام الکترونيکي

فرمت انتشار

p

نوع ماده

[Thesis]

کد کاربرگه

276903

سطح دسترسي

a

تكميل شده

Y