Current trends in matrix theory: proceedings of the 3. Auburn Matrix Theory Conference, held March 19-22, 1986, at Auburn Univ., Auburn, Ala., USA
Gespeichert in:
| Format: | Tagungsbericht Buch |
|---|---|
| Sprache: | Undetermined |
| Veröffentlicht: |
New York [u.a.]
North-Holland
1987
|
| Ausgabe: | 1. print. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 432 S. |
| ISBN: | 0444011811 |
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Datensatz im Suchindex
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| adam_text | V
TABLE OF COOTENTS
INTRODUCTION xl
PART I: PAPERS 1
S. N. AFRIAT (Ottawa, CANADA)
Von Neumann s Economic Model 3
Y. H. AU YEUNG (Hong Kong, HONG KONG)
Some Results on Generalized Numerical Ranges and
Related Topics 23
R. B. BAPAT (New Delhi, INDIA)
A Refinement of Oppenhelm s Inequality 29
G. P. BARKER and T. P. KEZLAN (Kansas City, MO)
The Automorphism Group of a Matrix Algebra 33
S. BARNETT (Bradford, ENGLAND)
Matrix Methods for Performing Algebraic Operations
on Generalized Polynomials 41
L. B. BEASLEY (Logan, UT)
Null Spaces of Spaces of Matrices of Bounded Rank 45
J. H. BEVIS, F. J. HALL (Atlanta, GA) and R. E. HARTWIG (Raleigh, NC)
Conslmllarlty and the Matrix Equation AX~ XB C 51
J. T. BRUENING (Cape Glrardeau, MO)
A New Formula for the Moore Penrose Inverse 65
C. A. BUTLER (Mllledgevllle, GA) and T. D. MORLEY (Atlanta, GA)
Schur Complements and Continued Fractions 75
D. CARLSON (San Diego, CA)
Generalized Inverse Invarlance, Partial Orders, and Rank
Minimization Problems for Matrices 81
R. DALPATADU and J. GREGORY (Carbondale, IL)
Numerical Methods for Optimal Control Problems with Bilinear
Objective Functlonals and Linear Trajectories 89
L. ELSNER (Bielefeld, W. GERMANY)
Matrix Decomposition, Symmetries and Eigenvalue Algorithms . . 103
K. FAN (Santa Barbara, CA)
Applications and Sharpened Forms of an Inequality
of Von Neumann 113
vi
W. L. GREEN (Atlanta, GA)
Square Matrices Suffice for System Stabilization 123
M. HALL Jr. (Atlanta, GA)
Matrices and Designs 127
R. E. HARTWIG (Raleigh, NC)
The Group Inverse of a Block Triangular Matrix 137
J. A. HOSKINS and W. D. HOSKINS (Winnipeg, CANADA)
An Algorithm for Color Factoring a Matrix 147
S. K. JAIN and L. E. SNYDER (Athens, OH)
New Classes of Monotone Matrices 155
C. R. JOHNSON (Clerason, SC)
The Permanent on Top Conjecture: A Status Report 167
T. J. LAFFEY (Dublin, IRELAND)
Factorization of Matrices Involving Symmetric Matrices
and Involutions 175
C. K. LI (Hong Kong, HONG KONG and Madison, WI)
Linear Operators that Preserve the m Numerical Radius or the
m Numerlcal Range of Matrices: Results and Questions 199
C. C. LINDNER (Auburn, AL)
What Is a Stelner Pentagon System? 203
R. MERRIS (Hayward, CA)
The Permanental Dominance Conjecture 213
G. MUHLBACH (Hannover, W. GERMANY) and M. GASCA (Zaragoza, SPAIN)
A Test for Strict Total Posltlvlty via Neville Elimination . . 225
G. de OLIVEIRA (Coimbra, PORTUGAL)
On Groups of * Matrices 233
S. PIERCE (San Diego, CA)
Permanents of Correlation Matrices 247
R. J. PLEMMONS (Raleigh, NC)
Parallel Multisplltting Iterative Methods 251
Y. T. POON (Ames, 10)
Shift Equivalences on Integral Matrices:
the Williams Problem 255
D. L. POWERS (Potsdam, NY)
Structure of a Matrix According to its Second
Eigenvector 261
vii
M. RAZZAGHI (Auburn, AL and Tehran, IRAN)
Solution of the Nonsyrametrlc Matrix Rlccatl Equation In
Invariant Imbedding Methods 267
B. REICHSTEIN (Washington, D.C.)
An Algorithm to Express a Cubic Form as a Sum of Cubes of
Linear Forms 273
D. R. RICHMAN (Columbia, SC) and Q. L. WANG (Shanxl, CHINA)
On Generalized Vandermonde Determinants 285
C. E. ROBINSON Jr. (Jackson, MS)
Substochastlc (s,t) Potent Matrices 297
L. RODMAN (Tempe, AZ and Tel Aviv, ISRAEL)
Hermltlan Matrix Polynomials 305
A. A. SAGLE (Hllo, HI)
Stochastic Groups and Algebras 331
W. E. SHREVE (Fargo, ND) and M. R. STABNOW (Colorado Springs, CO)
An Eigenvalue Algorithm for Symmetric Bordered Diagonal
Matrices 339
E. STENSHOLT (Bergen, NORWAY)
Factors of Regular Matrix Polynomials 347
0. TAUSSKY (Pasadena, CA)
Ideal Matrices IV 361
R. C. THOMPSON (Santa Barbara, CA)
Resultants, Blgradlents, and Integral Polynomials 369
N. K. TSING (Hong Kong, HONG KONG and Auburn, AL)
Is al + (l a)J Orthostochastlc? 399
E. E. UNDERWOOD (Logan, UT)
Classification of Complex Matrices A, where A = adj(A). . . . 405
PART II: ABSTRACTS 411
0. AXELSSON (Nljmegen, NETHERLANDS)
A Generalized Conjugate Gradient, Least Square Method 413
W. W. BARRETT (Provo, UT), C. R. JOHNSON (Clemson, SC),
D. D. OLESKY and P. VAN DEN DRIESSCHE (Victoria, CANADA)
Inherited Matrix Entries In Principal Submatrlces of the
Inverse *13
J. H. BEVIS, F. HALL (Atlanta, GA) and R. E. HARTWIG (Raleigh, NC)
Pseudo Conslmllarlty and Seml Conslmllarlty of Complex
Matrices 414
viii
R. J. CARON and N. I. M. GOULD (Windsor, CANADA)
Finding a Positive Semldefinite Interval for a Parametric
Matrix *1*
M. P. A. COELHO and J. A. DIAS DA SILVA (Lisbon, PORTUGAL)
Some Relations Between Linear Groups and Group Algebras. . . . 414
J. W. DEMMEL (New York, NY)
On Condition Numbers and the Distance to the Nearest
Ill Posed Problem 415
J. W. DEMMEL (New York, NY) and B. KAGSTROM (Umea, SWEDEN)
Computing Stable Eigendecompositions of Matrix Pencils .... 416
J. DE PILUS (Riverside, CA)
Generalized Optimal SOR 417
S. J. DOW and P. M. GIBSON (Huntsvllle, AL)
Analogues of the Permanent Function for Higher
Dimensional Matrices 417
R. E. HARTWIG (Raleigh, NC) and G. P. H. STYAN (Montreal, CANADA)
On Some Characterizations of Drazin s Star Partial
Ordering for Matrices and Rank Subtractlvity 418
Y. HONG (Dekalb, IL)
Unitarily Block Irreducible Matrices under Unitary
Similarities 418
C. J. HSU (Taipei, TAIWAN)
On a Theorem of Stelner, the Line of Images and Ky Fan s
Identity for Symmetric Bilinear Forms 419
T. KILGORE (Auburn, AL)
Evaluation Matrices, Functions with Interlacing Roots,
and Interpolation 419
A. R. KRAUTER (Leoben, AUSTRIA and Santa Barbara, CA)
On a Theorem of P. M. Gibson Concerning Convertible
Matrice 421
R. A. MENA (Laramie, WY)
On Dlscrlmlnant Like Polynomials 422
J. K. MERIKOSKI, H. KANKAANPAA and A. VIRTANEN (Tampere, FINLAND)
Improving an Inequality for 3x3 Matrices 422
S. NELSON and M. NEUMANN (Storrs, CN)
Generalizations of the Projection Method and their
Application to SOR Theorem for Positive Semldeflnite
Systems 422
H. SCHNEIDER and D. HERSHKOWITZ (Madison, WI and Haifa, ISRAEL)
Equality Classes of Matrices 423
ix
; P. N. SHIVAKUMAR (Winnipeg, CANADA)
Infinite Matrices and Some Applications 423
J. M. S. SIMOES PEREIRA and C. M. ZAMFIRESCU (New York, NY and
Coimbra, PORTUGAL)
Distance Matrices and Graph Realizations 423
R. L. SMITH (Chattanooga, TN)
Spectral Properties of No Matrices 424
R. A. USMANI (Winnipeg, CANADA)
^ On the Explicit Inverse of a Band Matrix with Variable
Entries and its Applications to Computing Eigenvalues
of a Singular Boundary Value Problem 424
A BEE AUTIFUL MEETING IN AUBURN, MARCH 1986 (by S. Barnett) 425
LIST OF REFEREES 427
LIST OF AUTHORS. 429
LIST OF KEY WORDS 431
|
| adam_txt |
V
TABLE OF COOTENTS
INTRODUCTION xl
PART I: PAPERS 1
S. N. AFRIAT (Ottawa, CANADA)
Von Neumann's Economic Model 3
Y. H. AU YEUNG (Hong Kong, HONG KONG)
Some Results on Generalized Numerical Ranges and
Related Topics 23
R. B. BAPAT (New Delhi, INDIA)
A Refinement of Oppenhelm's Inequality 29
G. P. BARKER and T. P. KEZLAN (Kansas City, MO)
The Automorphism Group of a Matrix Algebra 33
S. BARNETT (Bradford, ENGLAND)
Matrix Methods for Performing Algebraic Operations
on Generalized Polynomials 41
L. B. BEASLEY (Logan, UT)
Null Spaces of Spaces of Matrices of Bounded Rank 45
J. H. BEVIS, F. J. HALL (Atlanta, GA) and R. E. HARTWIG (Raleigh, NC)
Conslmllarlty and the Matrix Equation AX~ XB C 51
J. T. BRUENING (Cape Glrardeau, MO)
A New Formula for the Moore Penrose Inverse 65
C. A. BUTLER (Mllledgevllle, GA) and T. D. MORLEY (Atlanta, GA)
Schur Complements and Continued Fractions 75
D. CARLSON (San Diego, CA)
Generalized Inverse Invarlance, Partial Orders, and Rank
Minimization Problems for Matrices 81
R. DALPATADU and J. GREGORY (Carbondale, IL)
Numerical Methods for Optimal Control Problems with Bilinear
Objective Functlonals and Linear Trajectories 89
L. ELSNER (Bielefeld, W. GERMANY)
Matrix Decomposition, Symmetries and Eigenvalue Algorithms . . 103
K. FAN (Santa Barbara, CA)
Applications and Sharpened Forms of an Inequality
of Von Neumann 113
vi
W. L. GREEN (Atlanta, GA)
Square Matrices Suffice for System Stabilization 123
M. HALL Jr. (Atlanta, GA)
Matrices and Designs 127
R. E. HARTWIG (Raleigh, NC)
The Group Inverse of a Block Triangular Matrix 137
J. A. HOSKINS and W. D. HOSKINS (Winnipeg, CANADA)
An Algorithm for Color Factoring a Matrix 147
S. K. JAIN and L. E. SNYDER (Athens, OH)
New Classes of Monotone Matrices 155
C. R. JOHNSON (Clerason, SC)
The Permanent on Top Conjecture: A Status Report 167
T. J. LAFFEY (Dublin, IRELAND)
Factorization of Matrices Involving Symmetric Matrices
and Involutions 175
C. K. LI (Hong Kong, HONG KONG and Madison, WI)
Linear Operators that Preserve the m Numerical Radius or the
m Numerlcal Range of Matrices: Results and Questions 199
C. C. LINDNER (Auburn, AL)
What Is a Stelner Pentagon System? 203
R. MERRIS (Hayward, CA)
The Permanental Dominance Conjecture 213
G. MUHLBACH (Hannover, W. GERMANY) and M. GASCA (Zaragoza, SPAIN)
A Test for Strict Total Posltlvlty via Neville Elimination . . 225
G. de OLIVEIRA (Coimbra, PORTUGAL)
On Groups of * Matrices 233
S. PIERCE (San Diego, CA)
Permanents of Correlation Matrices 247
R. J. PLEMMONS (Raleigh, NC)
Parallel Multisplltting Iterative Methods 251
Y. T. POON (Ames, 10)
Shift Equivalences on Integral Matrices:
the Williams Problem 255
D. L. POWERS (Potsdam, NY)
Structure of a Matrix According to its Second
Eigenvector 261
vii
M. RAZZAGHI (Auburn, AL and Tehran, IRAN)
Solution of the Nonsyrametrlc Matrix Rlccatl Equation In
Invariant Imbedding Methods 267
B. REICHSTEIN (Washington, D.C.)
An Algorithm to Express a Cubic Form as a Sum of Cubes of
Linear Forms 273
D. R. RICHMAN (Columbia, SC) and Q. L. WANG (Shanxl, CHINA)
On Generalized Vandermonde Determinants 285
C. E. ROBINSON Jr. (Jackson, MS)
Substochastlc (s,t) Potent Matrices 297
L. RODMAN (Tempe, AZ and Tel Aviv, ISRAEL)
Hermltlan Matrix Polynomials 305
A. A. SAGLE (Hllo, HI)
Stochastic Groups and Algebras 331
W. E. SHREVE (Fargo, ND) and M. R. STABNOW (Colorado Springs, CO)
An Eigenvalue Algorithm for Symmetric Bordered Diagonal
Matrices 339
E. STENSHOLT (Bergen, NORWAY)
Factors of Regular Matrix Polynomials 347
0. TAUSSKY (Pasadena, CA)
Ideal Matrices IV 361
R. C. THOMPSON (Santa Barbara, CA)
Resultants, Blgradlents, and Integral Polynomials 369
N. K. TSING (Hong Kong, HONG KONG and Auburn, AL)
Is al + (l a)J Orthostochastlc? 399
E. E. UNDERWOOD (Logan, UT)
Classification of Complex Matrices A, where A = adj(A). . . . 405
PART II: ABSTRACTS 411
0. AXELSSON (Nljmegen, NETHERLANDS)
A Generalized Conjugate Gradient, Least Square Method 413
W. W. BARRETT (Provo, UT), C. R. JOHNSON (Clemson, SC),
D. D. OLESKY and P. VAN DEN DRIESSCHE (Victoria, CANADA)
Inherited Matrix Entries In Principal Submatrlces of the
Inverse *13
J. H. BEVIS, F. HALL (Atlanta, GA) and R. E. HARTWIG (Raleigh, NC)
Pseudo Conslmllarlty and Seml Conslmllarlty of Complex
Matrices 414
viii
R. J. CARON and N. I. M. GOULD (Windsor, CANADA)
Finding a Positive Semldefinite Interval for a Parametric
Matrix *1*
M. P. A. COELHO and J. A. DIAS DA SILVA (Lisbon, PORTUGAL)
Some Relations Between Linear Groups and Group Algebras. . . . 414
J. W. DEMMEL (New York, NY)
On Condition Numbers and the Distance to the Nearest
Ill Posed Problem 415
J. W. DEMMEL (New York, NY) and B. KAGSTROM (Umea, SWEDEN)
Computing Stable Eigendecompositions of Matrix Pencils . 416
J. DE PILUS (Riverside, CA)
Generalized Optimal SOR 417
S. J. DOW and P. M. GIBSON (Huntsvllle, AL)
Analogues of the Permanent Function for Higher
Dimensional Matrices 417
R. E. HARTWIG (Raleigh, NC) and G. P. H. STYAN (Montreal, CANADA)
On Some Characterizations of Drazin's "Star" Partial
Ordering for Matrices and Rank Subtractlvity 418
Y. HONG (Dekalb, IL)
Unitarily Block Irreducible Matrices under Unitary
Similarities 418
C. J. HSU (Taipei, TAIWAN)
On a Theorem of Stelner, the Line of Images and Ky Fan's
Identity for Symmetric Bilinear Forms 419
T. KILGORE (Auburn, AL)
Evaluation Matrices, Functions with Interlacing Roots,
and Interpolation 419
A. R. KRAUTER (Leoben, AUSTRIA and Santa Barbara, CA)
On a Theorem of P. M. Gibson Concerning Convertible
Matrice 421
R. A. MENA (Laramie, WY)
On Dlscrlmlnant Like Polynomials 422
J. K. MERIKOSKI, H. KANKAANPAA and A. VIRTANEN (Tampere, FINLAND)
Improving an Inequality for 3x3 Matrices 422
S. NELSON and M. NEUMANN (Storrs, CN)
Generalizations of the Projection Method and their
Application to SOR Theorem for Positive Semldeflnite
Systems 422
H. SCHNEIDER and D. HERSHKOWITZ (Madison, WI and Haifa, ISRAEL)
Equality Classes of Matrices 423
ix
; P. N. SHIVAKUMAR (Winnipeg, CANADA)
Infinite Matrices and Some Applications 423
J. M. S. SIMOES PEREIRA and C. M. ZAMFIRESCU (New York, NY and
Coimbra, PORTUGAL)
Distance Matrices and Graph Realizations 423
R. L. SMITH (Chattanooga, TN)
Spectral Properties of No Matrices 424
R. A. USMANI (Winnipeg, CANADA)
^ On the Explicit Inverse of a Band Matrix with Variable
Entries and its Applications to Computing Eigenvalues
of a Singular Boundary Value Problem 424
A BEE AUTIFUL MEETING IN AUBURN, MARCH 1986 (by S. Barnett) 425
LIST OF REFEREES 427
LIST OF AUTHORS. 429
LIST OF KEY WORDS 431 |
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| publisher | North-Holland |
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| spelling | Current trends in matrix theory proceedings of the 3. Auburn Matrix Theory Conference, held March 19-22, 1986, at Auburn Univ., Auburn, Ala., USA 1. print. New York [u.a.] North-Holland 1987 XI, 432 S. txt rdacontent n rdamedia nc rdacarrier Matrizenrechnung (DE-588)4126963-9 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Matrizenrechnung (DE-588)4126963-9 s DE-604 Matrix Mathematik (DE-588)4037968-1 s 1\p DE-604 Uhlig, Frank Sonstige oth Auburn Matrix Theory Confernce 3 1986 Auburn, Ala Sonstige (DE-588)16143142-2 oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015093246&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Current trends in matrix theory proceedings of the 3. Auburn Matrix Theory Conference, held March 19-22, 1986, at Auburn Univ., Auburn, Ala., USA Matrizenrechnung (DE-588)4126963-9 gnd Matrix Mathematik (DE-588)4037968-1 gnd |
| subject_GND | (DE-588)4126963-9 (DE-588)4037968-1 (DE-588)1071861417 |
| title | Current trends in matrix theory proceedings of the 3. Auburn Matrix Theory Conference, held March 19-22, 1986, at Auburn Univ., Auburn, Ala., USA |
| title_auth | Current trends in matrix theory proceedings of the 3. Auburn Matrix Theory Conference, held March 19-22, 1986, at Auburn Univ., Auburn, Ala., USA |
| title_exact_search | Current trends in matrix theory proceedings of the 3. Auburn Matrix Theory Conference, held March 19-22, 1986, at Auburn Univ., Auburn, Ala., USA |
| title_exact_search_txtP | Current trends in matrix theory proceedings of the 3. Auburn Matrix Theory Conference, held March 19-22, 1986, at Auburn Univ., Auburn, Ala., USA |
| title_full | Current trends in matrix theory proceedings of the 3. Auburn Matrix Theory Conference, held March 19-22, 1986, at Auburn Univ., Auburn, Ala., USA |
| title_fullStr | Current trends in matrix theory proceedings of the 3. Auburn Matrix Theory Conference, held March 19-22, 1986, at Auburn Univ., Auburn, Ala., USA |
| title_full_unstemmed | Current trends in matrix theory proceedings of the 3. Auburn Matrix Theory Conference, held March 19-22, 1986, at Auburn Univ., Auburn, Ala., USA |
| title_short | Current trends in matrix theory |
| title_sort | current trends in matrix theory proceedings of the 3 auburn matrix theory conference held march 19 22 1986 at auburn univ auburn ala usa |
| title_sub | proceedings of the 3. Auburn Matrix Theory Conference, held March 19-22, 1986, at Auburn Univ., Auburn, Ala., USA |
| topic | Matrizenrechnung (DE-588)4126963-9 gnd Matrix Mathematik (DE-588)4037968-1 gnd |
| topic_facet | Matrizenrechnung Matrix Mathematik Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015093246&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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