### Today's Editor:

- Cleve Moler
- The MathWorks, Inc.
- moler@mathworks.com

- The L(D**(-1),U) Decomposition.
- Reply about Fitting Experimental Data
- Snow Avalanche Info Needed
- Finite Element Codes with Message Passing
- MGGHAT Now Available
- Change of Address for Volker Mehrmann
- Pacific Northwest Dynamical Systems Seminar
- Bay Area NA Day
- Symposium in Honour of Leslie Fox
- Numerical Analysis and Dynamical Systems
- Nonlinear Numerical Methods and Rational Approximation
- National Information Infrastructure
- Final Call for Papers: JPDC special issue
- Contents, Numerical Algorithms
- Contents, Journal of Computational and Applied Mathematics

-------------------------------------------------------

From: Ned Anderson <anderson@nicctr.enet.dec.com>

Date: Mon, 22 Mar 93 07:25:11 PST

**Subject: The L(D**(-1),U) Decomposition.**

High Performance Computing: Using an L(D**(-1),U) decomposition.

This note proposes the use of a modified approach to information storage

in the LU decomposition process for solving linear systems. This approach

has significant practical value, particularly in the solution of

tridiagonal or other banded systems.

Simply stated, the proposal is to, at each elimination step:

1. Use the reciprocal of the current pivot element to do the elimination

(this is already a common technique).

2. Store this reciprocal (of the diagonal element of U) in place of

the diagonal element itself.

I propose we call this approach the L(D**(-1),U) decomposition.

This lets us replace the N floating divides in the back solve by N multiplies.

Its value derives from the fact that on many machines, divides are much

slower than multiplies, and/or are not part of the pipelined arithmetic unit.

Here is a code segment (cf. xGTSV in LAPACK) implementing the proposed

approach for a tridiagonal solver (with no pivoting or storage of L):

D( 1 ) = ONE / D( 1 )

DO K = 1, N - 1

MULT = DL( K ) * D( K )

D( K+1 ) = D( K+1 ) - MULT*DU( K )

B( K+1 ) = B( K+1 ) - MULT*B( K )

D( K+1 ) = ONE / D( K+1 )

END DO

* D**(-1),U and (L**(-1))B calculations complete.

*

* Back solve:

B( N ) = B( N ) * D( N )

DO K = N - 1, 1, -1

B( K ) = ( B( K )-DU( K )*B( K+1 ) ) * D( K )

END DO

This code yielded a 50% improvement in the Mflop rate (over the traditional

algorithm) on a DEC Alpha AXP 150 Mhz machine.

For full matrices and LAPACK, one may want to consider modifying xGETF2

to store reciprocal pivots, and modifying the BLAS3 routine xTRSM to accept

a third value, 'reciprocal' for the DIAG parameter which now accepts either

'unit' or 'nonunit'.

-- Dr. Ned Anderson, Digital Equipment Corporation, (508)467-4862 3/3/93

[Editor's Note: It should be mentioned that this approach is slightly

less accurate and robust. Consider the 1-by-1 case. Solve 7*x = 21.

Computing x = 21/7 = 3 gives the exact answer, while computing

x = 7**(-1)*21 = (.142857...)*21 might not give an exact 3. Moreover,

some pivots, near the under- or overflow limits, cannot be reciprocated.

But, neither is these points is actually very important. If you want speed,

avoid divisions.]

------------------------------

From: Grace Wahba <wahba@stat.wisc.edu>

Date: Mon, 22 Mar 93 12:02:37 -0600

**Subject: Reply about Fitting Experimental Data**

In response to C. Zhu concerning fitting experimental

data by best approximation, see my book `Spline Models for

Observational Data' SIAM 1990 and 13 pages of references cited

there. (Order info may be found by ftp at ftp.stat.wisc.edu in

pub/wahba/bkinfo). He might also want to look at the literature

on minimax estimation in the statistical literature.

------------------------------

From: John Prentice <john@aquarius.unm.edu>

Date: Wed, 24 Mar 93 17:41:37 MST

**Subject: Snow Avalanche Info Needed**

This question is more a physics question than a computing

or mathematics question, but since this newsletter goes to

a very diverse group of people, I thought I would submit

it anyway and see if anyone has any thoughts.

I am doing some research into the solid/fluid mechanics of

snow avalanches, particularly avalanches in the continental

region of the US Rockies. To carry out my research program,

I need to find out just about everything that is known about

the constitutive properties and physics of snow, particularly

highly porous snow such as we get in this region. I also need to

find out what is known about the constitutive properties and

physics of hoar depth and phase transitions in snow in general.

If anyone has any references, pointers, or recommendations for

who to ask, I would much appreciate it. I am also trying to

dig up any books or articles on the general physics of snow

avalanches. Any recommendations for that would also be much

appreciated.

John

Dr. John K. Prentice

Quetzal Computational Associates

3200 Carlisle N.E., Albuquerque, NM 87110-1664 USA

Phone: 505-889-4543 E-mail: quetzal@aip.org -or- jkprent@cs.sandia.gov

------------------------------

From: Stefano Foresti <stefano@osiris.usi.utah.edu>

Date: Thu, 25 Mar 1993 15:00:28 -0700

**Subject: Finite Element Codes with Message Passing**

We are interested in public domain finite element codes that have been

developed for distributed memory parallel computers with message

passing software (for instance Intel, PVM, Parasoft Express, etc.).

Any information is appreciated.

Stefano Foresti and Dave Barker

Utah Supercomputing Institute

85 SSB

University of Utah

Salt Lake City, Utah 84112, USA

tel: (801)581-3173 Fax: (801)585-5366

E-mail: stefano@osiris.usi.utah.edu

E-mail: ibmdeb@osiris.usi.utah.edu

------------------------------

From: Bill Mitchell <wmitchel@hannibal.atl.ge.com>

Date: Fri, 26 Mar 93 10:49:54 EST

**Subject: MGGHAT Now Available**

MGGHAT (MultiGrid Galerkin Hierarchical Adaptive Triangles) is a program

for the solution of linear second order elliptic partial differential equations

of the form:

-( p * u ) -( q * u ) + r * u = f in omega

x x y y

u = g on boundary 1 of omega

u + c * u = g on boundary 2 of omega

n

where p,q,r,f,c and g are functions of x and y, omega is a polygonal

domain in R2, n is the outward unit normal, and boundaries 1 and 2

form a partition of the boundary of omega.

This program is now available for public use. It uses a finite element method

with linear, quadratic or cubic elements over triangles. The adaptive

refinement via newest vertex bisection and the multigrid iteration are both

based on a hierarchical basis formulation. Visualization is available at run

time through an X Windows display, and a posteriori through output files that

can be used as GNUPLOT input.

The user supplies subroutines containing the coefficient functions p, q, r,

f, c, and g, a subroutine with the inital (coarse grid) triangulation to

define the domain, and a main program that sets program parameters and calls

subroutine mgghat. The program is mostly FORTRAN 77, but uses C for the

X11 graphics (can be disabled).

MGGHAT is available from netlib. Send the message

"send index from pdes/mgghat" to netlib@research.att.com.

MGGHAT can also be obtained from MGNET (multigrid network) by annonymous

ftp to casper.cs.yale.edu in directory mgnet/mgghat.

Enjoy!

-- Bill

William F. Mitchell | wmitchell@atl.ge.com

GE Advanced Technology Labs | na.mitchell@na-net.ornl.gov

Bldg. 145-2 Moorestown Corp. Center | Voice: (609) 866-6536

Moorestown, NJ 08057 | Fax: (609) 866-6397

------------------------------

From: Volker Mehrmann <mehrmann@math1.mathematik.uni-bielefeld.de>

Date: Tue, 23 Mar 93 14:15:42 MET

**Subject: Change of Address for Volker Mehrmann**

On April 1, 1993 I will move to Chemnitz and my new address will be

Volker Mehrmann

Fachbereich Mathematik

Technische Universitaet Chemnitz-Zwickau

Reichenhainer Str. 41

D-0-9022 Chemnitz

Tel. (049) (0)371-561-2659 (office)

(049) (0)371-561-2657 (fax)

email: mehrmann@mathematik.tu-chemnitz.de

------------------------------

From: Edoh Y. Amiran <EDOH@NESSIE.CC.WWU.EDU>

Date: 26 Mar 1993 14:02:07 -0800 (PST)

**Subject: Pacific Northwest Dynamical Systems Seminar **

The Pacific Northwest Dynamical Systems Seminar will be held at Western

Washington University in Bellingham, WA, on April 17-th. The speakers are:

M. Gerber (U. IN), F. Diacu (U. Vic.), D. Chalice (WWU), S. Tuncel (UW),

E.S. VanVleck (SFU), and K. Lu (BYU).

The talks will be held at Parks Hall 164 from 9:00 to 5:00.

For more information e-mail edoh@wwu.edu or write to Edoh Amiran, Mathematics,

WWU, Bellingham WA, 98225-9063.

-- Edoh Y. Amiran

------------------------------

From: Gene Golub <golub@sccm.Stanford.EDU>

Date: Sat, 27 Mar 93 17:25:51 PST

**Subject: Bay Area NA Day**

ANNUAL BAY AREA NA DAY

The annual Bay Area NA Day will take place at Stanford on Sat, April

10, beginning at 9:30 am. The meeting will take place in History

Corner. The speakers will include Alan Edelman, Vince Fernando,

John Strain, Andrew Stuart and several graduate students from Berkeley

and Stanford.

There will be a reception at Gene Golub's house followed by a Chinese

banquet; the cost is $20 per person. All interested persons are

welcome. Please send me a note by April 7 if you are interested in

attending, and participating in the dinner.

For further information, call me at (415) 723-3124 or send an e-mail msg.

Gene Golub

------------------------------

From: Nancy K. Nichols <SMSNICHO@cms.am.cc.reading.ac.uk>

Date: Wednesday 24th March 1993 18:17:31 GMT

**Subject: Symposium in Honour of Leslie Fox**

A SYMPOSIUM IN HONOUR OF LESLIE FOX

together with the

SIXTH LESLIE FOX PRIZE COMPETITION

is to be held

JUNE 24 - 25, 1993

Mathemtatical Institute, Oxford University

OXFORD, UK

The symposium is being held to celebrate the many contributions of Leslie

Fox to the research, teaching and applications of numerical analysis.

The programme includes: on Thursday, June 24, the finals of the Sixth

Leslie Fox Prize Competition and the award of the prizes by Clemency Fox.

An invited lecture by Professor G.H. Golub is to follow. On Friday,

June 25, invited talks on topics in numerical analysis are to be

presented by friends and colleagues associated with different stages of

Leslie's career, from schooldays through retirement. Speakers include:

Dr. D. Kershaw, Professor C. Clenshaw, Professor J. Walsh, Dr. A. Tayler,

Dr. D. Mayers, Dr. N.I.M. Gould, and Professor A. Stuart.

A sherry reception and honorary dinner are to be held in Balliol College

on the evening of Thursday, June 24. All friends are welcome at the dinner

(including those not participating in the scientific programme).

Registration fees for the conference are:

Two day programme: #40 including lunches in Balliol College, morning

and afternoon coffee/tea and sherry reception (#20 for students)

Fox Prize day only: #20 including lunch, coffee/tea and reception

(#10 for students)

Conference Dinner: #26 (including wine) for participants

#30 (including reception and wine) for non-participants

Accomodation for a limited number of participants is to be available in

Balliol College at a rate of #19.40 per person for bed and breakfast.

Information on other accomodation can be obtained from the symposium

organizers.

Any funds raised from the meeting are to be contributed to

the Leslie Fox Prize Fund. Additional donations to the capital fund

are welcome at any time. Cheques should be made payable to the

Secretary, IMA, 16 Nelson Street, Southend-on-Sea, Essex SS1 1EF, UK.

Local Organizers: Prof. K.W. Morton (Chairman), Dr. N.K. Nichols,

Dr. D. Mayers, Prof. S. Hammarling, Prof. I.S. Duff

Fox Prize Adjudicators: Dr. N.K. Nichols (Chairman), Prof. C.M. Elliott,

Prof. C.T.H. Baker

Those planning to attend the symposium are encouraged to register

as soon as possible.

Correspondence, including a request for an electronic registration form,

should be addressed to either:

Professor K.W. Morton Dr. N.K. Nichols

Oxford University Department of Mathematics

Computing Laboratory University of Reading

8/11 Keble Road Box 220

Oxford OX1 3DQ UK Reading RG6 2AX UK

Tel. +44 865 273885 Tel. +44 734 318988

FAX +44 865 273839 FAX +44 734 313423

email: email:

Joan.Himpson@uk.ac.oxford.comlab na.nichols@na-net.ornl.gov

n.nichols@uk.ac.reading

------------------------------

From: A. Spence <A.Spence@maths.bath.ac.uk>

Date: Fri, 19 Mar 93 15:31:41 GMT

**Subject: Numerical Analysis and Dynamical Systems**

LONDON MATHEMATICAL SOCIETY

TWO DAY MEETING

THURSDAY -- FRIDAY 13--14 MAY 1993

UNIVERSITY OF CAMBRIDGE

Numerical Analysis and Dynamical Systems

Thursday 2.00 Opening Session

2.10 C. Foias (Bloomington, Indiana): ``Interpolation

theory and the localization of the global attractor''

3.45 C. Grebogi (College Park, Maryland): ``Shadowing in

chaotic systems''

5.00 D. Watkins (Seatle, Washington): ``A numerical

analyst's view of isospectral flows''

Friday 10.15 R.D. Skeel (Urbana-Champaign, Illinois):

``Symplectic integration with multiple time steps

and variable step size''

12.00 C.M. Elliott (Sussex): ``Dynamical phase transitions

and parabolic equations''

2.30 E. Doedel (Caltech): ``On algorithms and software for

bifurcation problems''

3.30 Meeting closes

The lectures will be held at the Mill Lane Lecture Rooms, (opposite

DPMMS) Cambridge. All interested are very welcome.

A dinner will be held at The University Centre on the evening of Thursday

13th May at 8.00pm. The cost of the dinner will be 18.50 pounds per person,

inclusive of wine. Those wishing to attend should inform A.

Iserles, DAMTP, Silver Street, Cambridge CB3 9EW, enclosing a cheque payable

to ``University of Cambridge'', to arrive by 7th May.

Enquiries may be addressed to A. Iserles, DAMTP, Silver Street, Cambridge,

CB3 9EW (email A.Iserles@uk.ac.cam.amtp) or A. Spence, School of Mathematical

Sciences, University of Bath, Claverton Down, Bath, BA2 7AY (email

as@uk.ac.bath.maths).

------------------------------

From: Annie Cuyt <cuyt@wins.uia.ac.be>

Date: Thu, 25 Mar 93 14:53:15 +0100

**Subject: Nonlinear Numerical Methods and Rational Approximation**

CONFERENCE ANNOUNCEMENT

Nonlinear Numerical Methods and Rational Approximation

Organiser: A. Cuyt (UIA, Antwerp).

Scientific Committee: A. Bultheel (KUL, Leuven), A. Cuyt (UIA, Antwerp),

J. Meinguet (UCL, Louvain-la-Neuve), J.-P. Thiran (FUN, Namur).

UPON GENERAL REQUEST THE DEADLINE FOR REGISTRATION IS EXTENDED TO

MAY 1. SINCE I AM ALSO ABROAD IN APRIL, THERE WILL BE NO REPLY TO

ANY REQUESTS FOR INFORMATION IN THAT PERIOD.

Invited Speakers: A. Gonchar (Moscow), M. Gutknecht (Zurich),

W. B. Jones (Boulder, USA), D. Lubinsky (Witwatersrand, S-Africa),

E. Saff (Tampa, USA).

In 1993 another conference will be organised on the use of rational functions

in different fields of numerical analysis. It will take place at the

University of Antwerp (UIA) from September 5 to 11. The registration fee of

7 500 Bf will cover participation, lunch and dinner on campus, all social

events, coffee-breaks, transportation from and to town and a copy of the

conference proceedings. Since Antwerp is in 1993 Europe's cultural capital,

special attention will be paid to housing and social events for the

participants. Registration should be made before April 1 on the enclosed form.

Each of the following sessions will be introduced by a one-hour survey

lecture. All other participants are invited to present a 20-minute

research talk. Abstracts should be mailed together with the registration

form before April 1. Proceedings will be published by Reidel just like in

1987. Only papers received in their final form by September 30 can be

considered for publication. Details for the preparation of a manuscript

shall be mailed to all registered participants after June 1.

Sessions: The emphasis will be on Pade approximation,

Rational interpolation, Rational approximation, Continued fractions

and Orthogonal polynomials. For each of those topics we also welcome

all Multivariate and Multidimensional problems, Applications, Error

analysis and Software development.

Further Information: Annie Cuyt, Dept of Mathematics and

Computer Science, University of Antwerp (UIA), Universiteitsplein 1,

B-2610 Wilrijk-Antwerp, Belgium, tel: (32) 3/820.24.07, fax: (32)

3/820.24.21, secr: (32)3/820.24.01, e-mail: cuyt@wins.uia.ac.be

------------------------------

From: Karen Friedman <karen@niwot.scd.ucar.EDU>

Date: Tue, 23 Mar 93 16:26:06 MST

**Subject: National Information Infrastructure**

INFORMATION EXCHANGE

TELECOMMUNICATIONS AS PART OF THE

NATIONAL INFORMATION INFRASTRUCTURE

You are cordially invited to attend the IEEE-USA Information

Exchange on Telecommunications as Part of the National Informa-

tion Infrastructure.

The United States needs to develop a world-class national infor-

mation infrastructure. Fundamental to achieving this goal is

establishing a national telecommunications policy that fosters

effective application of evolving technologies, incentives for

investment, and responsiveness to users. Many groups and associ-

ations are initiating projects to represent the views of their

members on such an infrastructure.

Because IEEE's wide-ranging membership touches almost all enti-

ties addressing this issue, the IEEE Committee on Communications

& Information Policy will convene an

Information Exchange

May 4-5, 1993

Rosslyn Westpark Hotel

Arlington, Virginia

The purpose of this exchange is to allow the groups and associa-

tions developing a vision of U.S. information infrastructure to

share views and better understand their respective issues. We

envision a dialogue among those already active in this arena and

other key individuals who are directly concerned with telecommun-

ications. This will be a neutral ground where different

interests can target particular issues important to them and this

country. Panelists of national stature will cover the range from

technology through policy. We expect many officials of the Exe-

cutive and Legislative branches to participate as well.

The ultimate goal of this effort is to bring together the ele-

ments for a national policy to guide the nature and continuing

development of a superior infrastructure. This Information

Exchange is a first step in the process.

Attendance is limited. The conference fee of $150.00 and the

completed registration form are due by April 15. A block of

rooms has been reserved in the name of "IEEE" at a discounted

rate of $87.00. Hotel reservations must be made directly with

the hotel at [PHONE (703) 527-4814; FAX (703) 522-8864] or before

April 3, 1993.

For registration and housing information, and a copy of the

advance program, please contact:

Deborah Rudolph

Manager, Technology Policy Council

IEEE-USA

1828 L Street NW, Suite 1202

Washington, DC 20036

PHONE: (202) 785-0017

FAX: (202) 785-0835

------------------------------

From: Xian-He Sun <sun@fluke.icase.edu>

Date: Mon, 22 Mar 93 21:34:54 -0500

**Subject: Final Call for Papers: JPDC special issue**

CALL FOR PAPERS

Special Issue of the Journal of Parallel and Distributed Computing on

Scalability of Parallel Algorithms and Architectures.

Papers are solicited for a special issue of the Journal of Parallel and

Distributed Computing on scalability of parallel algorithms and

architectures planned for April 1994. The issue will publish about

eight regular papers (about 35 double-spaced manuscript pages) and

upto four research notes (about 15 double-spaced manuscript pages).

The objective of this special issue is to bring together the research

done by theoreticians, application developers, and designers of

architectures and system software on scalability analysis of large-

scale parallel systems. Topics of interest include but are not limited

to Scalability metrics, Scalability analysis of parallel algorithms,

applications, and architectures, Cost effectiveness of scaling parallel

architectures in terms of performance, Software tools for scalable

parallel systems.

Authors should follow the JPDC manuscript format as described at the

end of each JPDC issue. Five copies of complete manuscript should be

sent to one of the guest editors by April 5, 1993. The authors will be

notified of the decision by September 1, 1993 and the final manuscript

ready for publication will be due by October 1, 1993.

Guest Editors:

Prof. Vipin Kumar Dr. Xian-He Sun

Department of Computer Science ICASE

200 Union Street S.E., Rm. 4-192 Mail Stop 132C

University of Minnesota NASA Langley Research Center

Minneapolis MN 55455 Hampton, VA 23681-0001

Tel: (612) 624-8023 Tel: (804) 864-8018

Fax: (612) 625-0572 Fax: (804) 864-6134

Email: kumar@cs.umn.edu sun@icase.edu

------------------------------

From: Daniel Baltzer <publish@baltzer.nl>

Date: Mon, 22 Mar 1993 16:07:21 -0700

**Subject: Contents, Numerical Algorithms**

Contents NUMERICAL ALGORITHMS

Editor-in-Chief: Claude Brezinski, Laboratoire d'Analyse Numerique et

d'Optimisation, UFR IEEA - M3, Universite de Lille 1, France, fax: +33 - 20

43 49 95, e-mail: brezinsk@frcitl81.bitnet

Numerical Algorithms, Volume 3 (1993), issues 1-4:

Moment problem formulation of the Schrodinger equation, D. Bessis and C. R.

Handy.

Extrapolation methods in numerical integration, P. Rabinowitz

A reliable modification of the cross rule for rational Hermite

interpolation, B. Beckermann and C. Carstensen.

A uniform approach for Hermite Pade and simultaneous Pade approximants and

their matrix-type generalizations, B. Beckermann and G. Labahn.

Interpolatory integration rules and orthogonal polynomials with varying

weights, T. Bloom, D.S. Lubinsky and H. Stahl.

Para-orthogonal Laurent polynomials and associated sequences of rational

functions, C.M. Bonan-Hamada, W.B. Jones, W.J. Thron and A. Magnus.

Some vector sequence transformations with applications to system of

equations, C. Brezinski and H. Sadok.

A Favard theorem for orthogonal rational functions on the unit circle, A.

Bultheel, P. Gonzalez-Vera, E. Hendriksen and O. Njastad.

A moment problem associated to rational Szego functions, A. Bultheel, P.

Gonzalez-Vera, E. Hendriksen and O. Njastad.

Orthogonal rational functions and quadrature on the unit circle, A.

Bultheel, P. Gonzalez-Vera, E. Hendriksen and O. Njastad.

Rational approximants to symmetric formal Laurent series, M. Camacho and P.

Gonzalez-Vera.

Rational interpolation with a single variable pole, J. M. Carnicer.

The Neville-Aitken formula for rational interpolants with prescribed poles,

C. Carstensen and G. Muhlbach.

Rational approximations for the cosine function: P-acceptability and order,

J.P. Coleman.

Multivariate rational data fitting: general data structure, maximal

accuracy and object orientation, A. Cuyt and B. Verdonk.

Implementation of the recurrence relations of biorthogonality, Z. Da Rocha.

Convergence of simultaneous Hermite-Pade approximants to the n-tuple of

q-hypergeometric series, M. G. de Bruin, K.A. Driver and D.S. Lubinsky.

Bivariate Hermite-Birkhoff interpolation and Vandermonde determinants, M

Gasca and J.J. Martinez.

Matrix orthogonal Laurent polynomials and two-point Pade approximants, C.

Gonzalez-Concepcion, P. Gonzalez-Vera, and E. Hendriksen.

On extrapolation of Jagerman and Stetter rules, S. Gonzalez-Pinto, P.

Gonzalez-Vera and J.C. Santos.

Solution of integral equations using function-valued Pade approximants II,

P.R. Graves-Morris and R. Thukral

Rational approximation to Neumann series of Bessel functions, N. Hayek, P.

Gonzalez-Vera and F. Perez-Acosta.

A Levin-type algorithm for accelerating the convergence of Fourier series,

H.H.H. Homeier.

Asymptotics for Szego polynomial zeros, W.B. Jones, O. Njastad and H. Waadeland.

Evaluation of a rational function, A.G. Law, C.N. Zhang, A. Rezazadeh and

L. Jodar.

The quadratic convergence of the topological epsilon algorithm for systems

of nonlinear equations, H. Le Ferrand.

Quadratic decomposition of orthogonal polynomials: a matrix approach, F.

Marcellan and G. Sansgire.

Two-dimensional orthogonal polynomials, their associated sets and the

co-recursive sets, P. Maroni.

Convergence and acceleration properties for the vector e-algorithm, A.C. Matos.

On the internal stepsize of an extrapolation algorithm for IVP in ODE,

M.Murofushi and H. Nagasaka.

Extrapolation methods for some singular fixed point sequences, N. Osada.

On higher order Pade-type approximants with some prescribed coefficients in

the numerator, M.A. Pinar and T.E. Perez.

Particular rules for the O-algorithm, M. Redivo Zaglia.

Clifford algebras and vector-valued rational forms II, D.E. Roberts.

P.C.-fractions and Szego polynomials associated with starlike univalent

functions, F. Ronning.

Sobolev inner products and orthogonal polynomials of Sobolev type, A, Ronveaux.

Asymptotic behaviour of iterated modified transforms on some slowly

convergent sequences, P. Sablonniere.

Numerical factorization of a polynomial by rational Hermite interpolation,

T.Sakurai, H. Sugiura and T. Torii.

On extending backwards positive definite sequences, F.H. Szafraniec.

Global extrapolation with a parallel splitting method, X.-C. Tai.

Limit period Schur algorithms, W.J. Thron.

A general module theoretic framework for vector M-Pade and matrix rational

interpolation, M. van Barel and A. Bultheel.

Best choice of the pole for the Pade-type approximant of a Stieltjes

function, J. van Iseghem.

Interpolation between sequence transformations, E.J. Weniger.

Requests for sample copies and orders are to be sent to J.C. Baltzer AG,

fax: +41-61-692 42 62, e-mail: publish@baltzer.nl

------------------------------

From: Anastassiou <ANASTASG@hermes.msci.memst.edu>

Date: 25 Mar 93 12:15:07 CDT

**Subject: Contents, Journal of Computational and Applied Mathematics**

Journal of Computational and Applied Mathematics

vol. 45, number 3, 3 May 1993

S.K. Bhatta and K.S. Sastri

Symmetric spline procedures for boundary value problems with mixed

boundary conditions

C. Carstensen and M.S. Petkovic

On iteration methods withoug dervatives for the simulataneous

determination of polynomial zeros

H. Le Ferrand

Vector orthogonal polynomials and matrix series

M.N. Mikhail and M.R. El-Tantawy

Effect of the medium viscosity on soound propagation and attenuation in ducts

M. Ganesh

A BIE method for a nonlinear BVP

J.M.-S. Lubuma

Error estimates in projexctive solutions of the Radon equation

J.A. Ferreira dn P. De Oliveira

Convergence properties of numerical discretizations and regridding methods

D.M. Timus

Some further results on the Hubbell rectangular source integral

W. Layton

Optimal difference schemes for 2-D transport problems

E.H. Kaufman Jr and G.D. Taylor

Coupled constrained rational approximation

Nguyen huu Cong

Note on the performance of direct and indirect Runge- Kutta-Nystrom methods

P.W. Hemker and J.-A. Desideri

Convergence behavious of defect correction for hyperbolic equations

M.K. Oberle, S.L. Scott, G.T. Gilbert, R.L. Hatcher and D.F. Addis

Mellin transforms of a generalization of Legendre polynomials

------------------------------

End of NA Digest

**************************

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