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Letters in linear algebra
LETTERS IN LINEAR ALGEBRA Editor-in-Chief
George Phillip Barker Department of Mathematics 211 Geology-Physics Building University of Missouri-Kansas Kansas city, Missouri 64110 Ado&y
City
Book Review Editor
Editors
Marvin Marcus Department of Mathematics
Olga Tams&y Todd
Stephen L. Campbell
Departmentof Mathematics
Universityof California Santa Barbara, California 93106
California Institute of Technology Pasadena, California
Deparhnent of Mathematics North Carolina State University Raleigh, North Carolina 27607
91109
Hans Schneider
Richard S. Varga
Departmentof Mathematics
Department of Mathematics Kent State University Kent, Ohio 44240
University of Wisconsin Madison, Wisconsin 53706
Associate Editors Stephen Bamett
Thomas
University
14 Frost
of Bradford
Belmont,
West Yorkshire, Bradford BD7
IDP,
Institutefor University
of Mathematics
College
of Wisconsin
Madison.
Wisconsin
53706
Iowa
State
Ames,
Iowa
Academic
of Mathematics
Dublin
Kadsruhe
Germany
North Raleigh,
Ky Fan Department Santa
California
of Mathematics
-Los
Department 93106
Carolina
University
27607
California
Shmuel Friedland Instituteof Mathematics
Graciano de Oliveira
Hebrew Univenity Jerusalem, Israel
Universidade Coimbra.
Mathematics de Coimbra
Potigal
University Santa
California
93106
Thompson
Department
of Mathematics of California
Barbara. California
93106
Roy westwick Departmentof Mathematics University
of California
Institutede
Angeles
Robert
of Mathematics
Santa Barbara.
of Mathemahcs of California
Los Angeles,
University
Australia
Ernst Straus University
College
North
of Sydney 2006,
Department
Morris Newman
of Mathematics of California
Barbara.
_
State
06520
of Mathematical
Department
N.S.W.
4, Ireland
Carolina
Connecticut
Haven.
University
Carl D. Meyer Departmentof Mathematics
21.
Avenue
New
StdiStiCS
530 090, USSR
University
Kartsmhe
University
20742
Thomas Laffey
50011
University
56 Hillbouse
Eugene Seneta
Maryland
City
Novosibirsk
University
Kaiserstrasse
Science
Center
Department
D-7500
Yale
of Maryland Park,
Computing
Wolfgang Eichhom Universitit
Physical
of Organization
and Management
Yuri A. Kuznetsov
Bryan Cain Department
02178
and Technology
Richard A. Brualdi Department
School
Maine
Charles Johnson
England
University
Uriel Rothblum
Hawkins, Jr. Road
93106
of British
Columbia
Victoria, B.C., Canada Harold Wimmer Department of Mathematics University of W&burg W&burg,
Germany
Volume 38, June 1981
HANSSCHNEIDER (Madison, WI) Geometric Conditions for the Existence of Positive Eigenvalues of Matrices . . . . . . . . . . . . . . . . . .
.....
. . . . .253
RUSSELLMEXIIS, KENNETHR. REBMAN(Hayward, CA), ANDWILLIAM WATKINS (Northridge, CA) Permanental Polynomials of Graphs . . . . . . . . . . . . . . . . . . . . . . . . .273 STEPHENL. CAMPBELL,CARL D. MEYER,JR., m NICHOLAS J. ROSE(Raleigh, NC) Results of an Informal Survey on the Use of Linear Algebra in Industry and Government . . . , . . . . . . . . . . . . . . . . . . . . . ,289
Alms and Scope Letters in Linear Algebra publishes surveys and research minisurveys in linear algebra. Surveys are research expository articles. Minisurveys are shorter state-of-the-art surveys which collate results of several authors (including perhaps previously unpublished results of the writer). The surveys, even though they may lead to the periphery of current work, should be an introduction to a specific area or application for people in related areas. The scope of the journal is matrix theory and finite dimensional linear algebra and their history in their algebraic, analytic, arithmetic, combinational, or numerical aspects, and significant applications to other branches of mathematics and other sciences. Manuscripts may be submitted to the Editor-in-Chief or to any member of the Editorial Board. Manuscripts may be written in either English, French, or German. Authors should submit two copies of a manuscript. The form of the manuscript and copyright transfer information is the same as for Linear Algebra and its Applications.
George Phillip Barker Department of Mathematics 211 Geology-Physics Building University of Missouri-Kansas Kansas city, Missouri 64110 Ado&y
City
Book Review Editor
Editors
Marvin Marcus Department of Mathematics
Olga Tams&y Todd
Stephen L. Campbell
Departmentof Mathematics
Universityof California Santa Barbara, California 93106
California Institute of Technology Pasadena, California
Deparhnent of Mathematics North Carolina State University Raleigh, North Carolina 27607
91109
Hans Schneider
Richard S. Varga
Departmentof Mathematics
Department of Mathematics Kent State University Kent, Ohio 44240
University of Wisconsin Madison, Wisconsin 53706
Associate Editors Stephen Bamett
Thomas
University
14 Frost
of Bradford
Belmont,
West Yorkshire, Bradford BD7
IDP,
Institutefor University
of Mathematics
College
of Wisconsin
Madison.
Wisconsin
53706
Iowa
State
Ames,
Iowa
Academic
of Mathematics
Dublin
Kadsruhe
Germany
North Raleigh,
Ky Fan Department Santa
California
of Mathematics
-Los
Department 93106
Carolina
University
27607
California
Shmuel Friedland Instituteof Mathematics
Graciano de Oliveira
Hebrew Univenity Jerusalem, Israel
Universidade Coimbra.
Mathematics de Coimbra
Potigal
University Santa
California
93106
Thompson
Department
of Mathematics of California
Barbara. California
93106
Roy westwick Departmentof Mathematics University
of California
Institutede
Angeles
Robert
of Mathematics
Santa Barbara.
of Mathemahcs of California
Los Angeles,
University
Australia
Ernst Straus University
College
North
of Sydney 2006,
Department
Morris Newman
of Mathematics of California
Barbara.
_
State
06520
of Mathematical
Department
N.S.W.
4, Ireland
Carolina
Connecticut
Haven.
University
Carl D. Meyer Departmentof Mathematics
21.
Avenue
New
StdiStiCS
530 090, USSR
University
Kartsmhe
University
20742
Thomas Laffey
50011
University
56 Hillbouse
Eugene Seneta
Maryland
City
Novosibirsk
University
Kaiserstrasse
Science
Center
Department
D-7500
Yale
of Maryland Park,
Computing
Wolfgang Eichhom Universitit
Physical
of Organization
and Management
Yuri A. Kuznetsov
Bryan Cain Department
02178
and Technology
Richard A. Brualdi Department
School
Maine
Charles Johnson
England
University
Uriel Rothblum
Hawkins, Jr. Road
93106
of British
Columbia
Victoria, B.C., Canada Harold Wimmer Department of Mathematics University of W&burg W&burg,
Germany
Volume 38, June 1981
HANSSCHNEIDER (Madison, WI) Geometric Conditions for the Existence of Positive Eigenvalues of Matrices . . . . . . . . . . . . . . . . . .
.....
. . . . .253
RUSSELLMEXIIS, KENNETHR. REBMAN(Hayward, CA), ANDWILLIAM WATKINS (Northridge, CA) Permanental Polynomials of Graphs . . . . . . . . . . . . . . . . . . . . . . . . .273 STEPHENL. CAMPBELL,CARL D. MEYER,JR., m NICHOLAS J. ROSE(Raleigh, NC) Results of an Informal Survey on the Use of Linear Algebra in Industry and Government . . . , . . . . . . . . . . . . . . . . . . . . . ,289
Alms and Scope Letters in Linear Algebra publishes surveys and research minisurveys in linear algebra. Surveys are research expository articles. Minisurveys are shorter state-of-the-art surveys which collate results of several authors (including perhaps previously unpublished results of the writer). The surveys, even though they may lead to the periphery of current work, should be an introduction to a specific area or application for people in related areas. The scope of the journal is matrix theory and finite dimensional linear algebra and their history in their algebraic, analytic, arithmetic, combinational, or numerical aspects, and significant applications to other branches of mathematics and other sciences. Manuscripts may be submitted to the Editor-in-Chief or to any member of the Editorial Board. Manuscripts may be written in either English, French, or German. Authors should submit two copies of a manuscript. The form of the manuscript and copyright transfer information is the same as for Linear Algebra and its Applications.